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MLCS_index.cpp
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//
// Created by 罗程阳 on 2024/4/8.
//
#include <iostream>
#include <algorithm>
#include <queue>
#include <map>
#include <set>
#include <time.h>
#include <chrono>
#include <unordered_set>
#include "utilities/multilayer_graph.h"
#include "utilities/projected_graph.h"
#include "utilities/search_space.h"
#include "utilities/trie.h"
#include <fstream>
#include <sstream>
#include <bitset>
#include <stack>
using namespace std;
//string dataset_name = "higgs";
//string dataset_name = "dblp";
//string dataset_name = "homo";
//string dataset_name = "slashdot";
//string dataset_name = "obamainisrael";
string dataset_name = "yeast";
//string dataset_name = "sacchcere";
//string dataset_name = "stack";
//string dataset_name = "wiki";
int number_of_layers;
MultilayerGraph multilayer_graph;
ProjectedGraph projected_graph;
int k, d;
int k_max = 0;
vector<vector<vector<vector<vector<int>>>>> PMC_index;
vector<vector<vector<vector<BitMap>>>> PMC_index_bitmap;
vector<int> result;
vector<trie_node*> tries;
vector<vector<vector<trie_node*>>> trie_vertex_node;
double graph_size = 0;
double index_size = 0;
double build_time = 0;
void load_index() {
PMC_index.resize(multilayer_graph.maximum_vertex + 1);
ifstream index_file("datasets/" + dataset_name + "/" + dataset_name + "_index.txt");
string line;
int current_v = -1;
int current_k = -1;
while (getline(index_file, line)) {
if (line.size() == 0)
continue;
istringstream iss(line);
vector<string> words;
string word;
while (iss >> word) {
words.push_back(word);
}
if (word.size() == 0)
continue;
if (words[0] == "v") {
current_v = stoi(words[1]);
PMC_index[current_v].push_back({});
} else if ((words[0] == "k")) {
current_k = stoi(words[1]);
k_max = max(k_max, current_k);
PMC_index[current_v].push_back({});
} else {
vector<int> layers;
for (auto str : words) {
layers.push_back(stoi(str));
}
if (PMC_index[current_v][current_k].size() == 0) {
PMC_index[current_v][current_k].resize(number_of_layers + 1);
}
PMC_index[current_v][current_k][layers.size()].push_back(layers);
}
}
index_file.close();
}
void convert_bitmap_index() {
long long index_size = 0;
long long graph_size = 0;
PMC_index_bitmap.resize(multilayer_graph.maximum_vertex + 1);
index_size += (multilayer_graph.maximum_vertex + 1) * 4;
graph_size += (multilayer_graph.maximum_vertex + 1) * number_of_layers * 4;
long long bitmap_num = 0;
for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
PMC_index_bitmap[v].resize(PMC_index[v].size());
index_size += PMC_index[v].size() * 4;
for (int temp_k = 1; temp_k < PMC_index[v].size(); temp_k++) {
PMC_index_bitmap[v][temp_k].resize(PMC_index[v][temp_k].size());
for (int temp_d = 1; temp_d < PMC_index[v][temp_k].size(); temp_d++) {
for (auto layers : PMC_index[v][temp_k][temp_d]) {
bitmap_num++;
BitMap temp_bitmap(number_of_layers);
for (auto layer : layers) {
temp_bitmap.set_one(layer);
}
PMC_index_bitmap[v][temp_k][temp_d].push_back(temp_bitmap);
}
}
}
}
index_size += (bitmap_num * number_of_layers) / 8;
cout << "Index Size:" << (double)index_size / 1024.0 / 1024.0 << "MB" << endl;
for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
for (auto l = 0; l < number_of_layers; l++) {
graph_size += multilayer_graph.adjacency_list[v][l].size() * 4;
}
}
cout << "Graph Size:" << (double)graph_size / 1024.0 / 1024.0 << "MB" << endl;
// //// write index using bitmap
// ofstream index_file_bitmap("datasets/" + dataset_name + "/" + dataset_name + "_index_bitmap", std::ios::binary | std::ios::out);
// for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
// cout << "v " << v << endl;
// char ch = 'v';
// index_file_bitmap.write(&ch, sizeof(char));
// index_file_bitmap.write(reinterpret_cast<const char*>(&v), sizeof(int));
// for (int k = 1; k < PMC_index_bitmap[v].size(); k++) {
// cout << "k " << k << endl;
// ch = 'k';
// index_file_bitmap.write(&ch, sizeof(char));
// index_file_bitmap.write(reinterpret_cast<const char*>(&k), sizeof(int));
// for (int d = 1; d < PMC_index_bitmap[v][k].size(); d++) {
// if (PMC_index_bitmap[v][k][d].size() == 0)
// continue;
//// cout << "d=" << d << endl;
//// index_file << "d=" << d << endl;
// for (auto bitmap : PMC_index_bitmap[v][k][d]) {
// index_file_bitmap.write(reinterpret_cast<const char*>(bitmap.value.data()), bitmap.value.size()*sizeof(int));
// }
// }
// }
// }
//
// index_file_bitmap.close();
}
void index_correct_test() {
// //// construct the projected graph of the multilayer graph
// ProjectedGraph projected_graph(multilayer_graph);
// vector<vector<int>> layer_composition = {{0}, {1}, {3,4}, {2,7}, {1, 5, 9}};
vector<vector<int>> layer_composition = {{0},
{1},
{2},
{3},
{1, 2},
{0, 3},
{1, 2, 3},
{0, 2},
{0, 2, 3}};
// vector<vector<int>> layer_composition = {{0}, {1}, {5}, {7}, {3,4}, {2,7}};
int k = 1;
int final_num = 0;
for (auto &composition: layer_composition) {
for (auto &num: composition) {
cout << num << " ";
}
cout << endl;
// test correctness
bool change = true;
auto test_multilayer_graph = multilayer_graph;
auto test_projected_graph = projected_graph;
vector<bool> test_exist(multilayer_graph.maximum_vertex + 1, true);
// int left_count = multilayer_graph.maximum_vertex + 1;
int left_count = multilayer_graph.maximum_vertex + 1;
while (change) {
change = false;
for (int i = 0; i < multilayer_graph.maximum_vertex + 1; i++) {
bool is_delete = false;
if (test_exist[i]) {
int n1 = 0;
for (auto neighbor: test_projected_graph.adjacency_list[i]) {
if (test_exist[neighbor]) {
++n1;
}
}
if (n1 < k + 1) {
is_delete = true;
}
for (auto layer: composition) {
int n2 = 0;
for (auto neighbor: test_multilayer_graph.adjacency_list[i][layer]) {
if (test_exist[neighbor]) {
++n2;
}
}
if (n2 < k)
is_delete = true;
}
if (is_delete) {
change = true;
test_exist[i] = false;
left_count--;
}
}
}
if (!change)
break;
}
cout << "correct count:" << left_count << endl;
// int count_num = 0;
// for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
// if (vertex_core_number[v].find(composition) != vertex_core_number[v].end()) {
// if (vertex_core_number[v][composition] >= k) {
// count_num++;
// }
// }
// }
// cout << "decomposition count:" << count_num << endl;
int count_num = 0;
for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
if (k > PMC_index[v].size() - 1 || PMC_index[v][k].size() == 0) {
continue;
}
bool exist = false;
for (int layer_num = composition.size(); layer_num < number_of_layers + 1; layer_num++) {
if (exist || layer_num > PMC_index[v][k].size() - 1)
break;
for (auto layers : PMC_index[v][k][layer_num]) {
bool dominate = true;
for (auto layer : composition) {
if (std::find(layers.begin(), layers.end(), layer) == layers.end()) {
dominate = false;
break;
}
}
if (dominate) {
exist = true;
break;
}
}
}
if (exist) {
count_num++;
}
}
cout << "index count:" << count_num << endl;
}
}
void generate_layer_composition(int layer, int select, vector<vector<int>> &layer_composition, vector<int> &layer_array, vector<bool> &layer_visited) {
if (select == d) {
vector<int> temp_layer_composition;
for (int i = 0; i < number_of_layers; ++i) {
if (layer_visited[i]) {
temp_layer_composition.push_back(i);
}
}
layer_composition.push_back(temp_layer_composition);
return;
}
if (layer == number_of_layers)
return;
layer_visited[layer] = true;
generate_layer_composition(layer + 1, select + 1, layer_composition, layer_array, layer_visited);
layer_visited[layer] = false;
generate_layer_composition(layer + 1, select, layer_composition, layer_array, layer_visited);
}
void generate_sublayer_composition(int layer, int select, vector<int> &layers, vector<vector<int>> &sub_layers, vector<bool> &layer_visited) {
if (select == d) {
vector<int> temp_layer_composition;
for (int i = 0; i < number_of_layers; ++i) {
if (layer_visited[i]) {
temp_layer_composition.push_back(i);
}
}
sub_layers.push_back(temp_layer_composition);
return;
}
if (layer == layers.size())
return;
layer_visited[layers[layer]] = true;
generate_sublayer_composition(layer + 1, select + 1, layers, sub_layers, layer_visited);
layer_visited[layers[layer]] = false;
generate_sublayer_composition(layer + 1, select, layers, sub_layers, layer_visited);
}
vector<vector<int>> generate_sub_layers(vector<int> &layers) {
vector<vector<int>> sub_layers;
if (layers.size() == d) {
sub_layers.push_back(layers);
return sub_layers;
}
vector<bool> layer_visited(multilayer_graph.number_of_layers, false);
generate_sublayer_composition(0, 0, layers, sub_layers, layer_visited);
return sub_layers;
}
vector<int> peeling_projected_graph() {
vector<int> bin; // store vertices
bin.reserve(projected_graph.maximum_vertex + 1);
vector<int> deg(projected_graph.maximum_vertex + 1); // the degree of each vertex
vector<int> pos(projected_graph.maximum_vertex + 1); // the position of each vertex in bin
vector<int> bou(projected_graph.maximum_degree + 1); // the boundary of each degree value in bin
//// initialize arrays
vector<vector<int>> degree_set(projected_graph.maximum_degree + 1);
for (auto &vertex : projected_graph.vertex_iterator) {
int temp_deg = projected_graph.adjacency_list[vertex].size();
degree_set[temp_deg].push_back(vertex);
deg[vertex] = temp_deg;
}
int pos_count = 0;
for (int i = 0; i < projected_graph.maximum_degree + 1; ++i) {
bou[i] = pos_count;
for (auto &vertex : degree_set[i]) {
bin.push_back(vertex);
pos[vertex] = pos_count;
pos_count++;
}
}
//// start peeling
for (int i = 0; i < projected_graph.maximum_vertex + 1; i++) {
int v = bin[i];
if (i >= bou[k + 1]) {
break;
}
for (auto &u : projected_graph.adjacency_list[v]) {
if (deg[u] > deg[v]) {
int deg_u = deg[u];
int pos_u = pos[u];
int pos_w = bou[deg_u]; // w is the first vertex in the group that u is in;
int w = bin[pos_w];
if (u != w) {
// swap u and w;
bin[pos_u] = w;
bin[pos_w] = u;
pos[u] = pos_w;
pos[w] = pos_u;
}
bou[deg_u]++;
deg[u]--;
}
}
}
//// get projected (k+1)-core
vector<int> projected_result;
for (int i = bou[k+1]; i < bin.size(); i++) {
projected_result.push_back(bin[i]);
}
cout << "num of (k+1)-core:";
cout << projected_result.size() << endl;
// test correctness
bool change = true;
auto test_projected_graph = projected_graph;
vector<bool> test_exist(projected_graph.maximum_vertex + 1, true);
int left_count = projected_graph.maximum_vertex + 1;
while (change) {
change = false;
for (int i = 0; i < projected_graph.maximum_vertex + 1; i++) {
bool is_delete = false;
if (test_exist[i]) {
if (test_projected_graph.adjacency_list[i].size() < k + 1) {
is_delete = true;
}
if (is_delete) {
change = true;
test_projected_graph.delete_vertex(i);
test_exist[i] = false;
left_count--;
}
}
}
if (!change)
break;
}
cout << "left:" << left_count << endl;
return projected_result;
}
vector<int> baseline() {
vector<int> result;
//// search connected (k+1)-core in the projected graph
vector<int>projected_k1_core = peeling_projected_graph();
//// get the composition of d layers
vector<vector<int>> layer_composition;
vector<int> layer_array = multilayer_graph.layers_iterator;
vector<bool> layer_visited(multilayer_graph.number_of_layers, false);
generate_layer_composition(0, 0, layer_composition, layer_array, layer_visited);
unordered_set<int> candidate_vertex;
vector<bool> vertex_exist(multilayer_graph.maximum_vertex + 1, false);
for (auto &vertex : projected_k1_core) {
candidate_vertex.insert(vertex);
vertex_exist[vertex] = true;
}
for (auto &composition : layer_composition) {
for (auto &num : composition) {
cout << num << " ";
}
cout << endl;
auto temp_candidate_vertex = candidate_vertex;
auto temp_vertex_exist = vertex_exist;
// compute minimum degree of vertex in L layers
map<int, vector<int>> degree_set;
vector<int> deg(multilayer_graph.maximum_vertex + 1);
int max_min_deg = 0;
// unordered_map<int, vector<int>>
for (auto &vertex : candidate_vertex) {
int min_degree = multilayer_graph.maximum_vertex - 1;
for (auto layer : composition) {
int temp_layer_deg = 0;
for (auto neighbor : multilayer_graph.adjacency_list[vertex][layer]) {
// if (temp_candidate_vertex.find(neighbor) != temp_candidate_vertex.end()) {
// temp_layer_deg++;
// }
if (vertex_exist[neighbor]) {
temp_layer_deg++;
}
}
min_degree = min(min_degree, temp_layer_deg);
}
int temp_projected_degree = 0;
for (auto neighbor : projected_graph.adjacency_list[vertex]) {
// if (temp_candidate_vertex.find(neighbor) != temp_candidate_vertex.end()) {
// temp_projected_degree++;
// }
if (vertex_exist[neighbor]) {
temp_projected_degree++;
}
}
min_degree = min(min_degree, temp_projected_degree - 1);
if (min_degree < 0)
min_degree = 0;
deg[vertex] = min_degree;
degree_set[min_degree].push_back(vertex);
max_min_deg = max(max_min_deg, min_degree);
}
vector<int> bin, pos, bou;
pos.resize(multilayer_graph.maximum_vertex + 1); // the index of v in the bin
bou.resize(max_min_deg + 1); // the start position of bou structure
int pos_count = 0;
for (int i = 0; i < max_min_deg + 1; i++) {
bou[i] = pos_count;
if (degree_set.find(i) != degree_set.end()) {
for (auto vertex : degree_set[i]) {
bin.push_back(vertex);
pos[vertex] = pos_count;
pos_count++;
}
}
}
// start peeling
int i = 0;
for (i = 0; i < bin.size(); i++) {
if (temp_candidate_vertex.size() < result.size())
break;
// if (i % 1000 == 0) {
// cout << i << "/" << bin.size() << endl;
// }
int vertex = bin[i];
if (deg[vertex] < k) {
unordered_set<int> affect_neighbor;
// for (auto layer : composition) {
// for (auto neighbor : multilayer_graph.adjacency_list[vertex][layer]) {
// if (temp_candidate_vertex.find(neighbor) != temp_candidate_vertex.end()) {
// affect_neighbor.insert(neighbor);
// }
// }
// }
for (auto neighbor : projected_graph.adjacency_list[vertex]) {
// if (temp_candidate_vertex.find(neighbor) != temp_candidate_vertex.end()) {
// affect_neighbor.insert(neighbor);
// }
if (temp_vertex_exist[neighbor]) {
affect_neighbor.insert(neighbor);
}
}
bou[deg[vertex]]++;
if (deg[vertex] > 0) {
bou[deg[vertex] - 1] = bou[deg[vertex]];
}
temp_candidate_vertex.erase(vertex);
temp_vertex_exist[vertex] = false;
for (auto u : affect_neighbor) {
int min_degree = multilayer_graph.number_of_vertex - 1;
for (auto layer : composition) {
int temp_layer_deg = 0;
for (auto neighbor : multilayer_graph.adjacency_list[u][layer]) {
// if (temp_candidate_vertex.find(neighbor) != temp_candidate_vertex.end()) {
// temp_layer_deg++;
// }
if (temp_vertex_exist[neighbor]) {
temp_layer_deg++;
}
}
min_degree = min(min_degree, temp_layer_deg);
}
int temp_projected_degree = 0;
for (auto neighbor : projected_graph.adjacency_list[u]) {
// if (temp_candidate_vertex.find(neighbor) != temp_candidate_vertex.end()) {
// temp_projected_degree++;
// }
if (temp_vertex_exist[neighbor]) {
temp_projected_degree++;
}
}
min_degree = min(min_degree, temp_projected_degree - 1);
if (min_degree < 0)
min_degree = 0;
// if (deg[u] - min_degree > 1)
// cout << "!!!" << endl;
if (min_degree != deg[u]) {
int w = bin[bou[deg[u]]];
int pos_w = pos[w];
int pos_u = pos[u];
bin[pos_u] = w;
bin[pos_w] = u;
pos[u] = pos_w;
pos[w] = pos_u;
bou[deg[u]]++;
deg[u] = min_degree;
}
}
} else {
break;
}
}
// cout << "(k+1)-core: " << temp_result.size() - i<< endl;
cout << "temp result: " << temp_candidate_vertex.size() << endl;
if (temp_candidate_vertex.size() > result.size()) {
result.clear();
for (i; i < bin.size(); i++) {
result.push_back(bin[i]);
}
}
}
return result;
}
void MLCS(int query_vertex) {
if (!(PMC_index[query_vertex].size() >= k + 1 && PMC_index[query_vertex][k].size() == (number_of_layers + 1))) {
cout << "No result!" << endl;
return;
}
set<vector<int>> candidate_layers_set;
for (int layer_num = number_of_layers; layer_num >= d; layer_num--) {
for (auto layers : PMC_index[query_vertex][k][layer_num]) {
auto sub_layers = generate_sub_layers(layers);
for (auto sub_layer : sub_layers) {
candidate_layers_set.insert(sub_layer);
}
}
}
for (auto layers : candidate_layers_set) {
vector<int> temp_result;
unordered_set<int> visited_vertex;
queue<int> Q;
Q.push(query_vertex);
while (!Q.empty()) {
int front_vertex = Q.front();
Q.pop();
temp_result.push_back(front_vertex);
for (auto neighbor: projected_graph.adjacency_list[front_vertex]) {
if (visited_vertex.find(neighbor) != visited_vertex.end()) {
continue;
}
visited_vertex.insert(neighbor);
if (!(PMC_index[neighbor].size() >= k + 1 &&
PMC_index[neighbor][k].size() == number_of_layers + 1)) {
continue;
}
bool dominate = false;
for (int layer_num = number_of_layers; layer_num >= d; layer_num--) {
if (dominate) {
break;
}
for (auto dominate_layers: PMC_index[neighbor][k][layer_num]) {
bool temp_dominate = true;
for (auto num: layers) {
if (std::find(dominate_layers.begin(), dominate_layers.end(), num) ==
dominate_layers.end()) {
temp_dominate = false;
break;
}
}
if (temp_dominate) {
dominate = true;
break;
}
}
}
if (dominate) {
Q.push(neighbor);
}
}
}
if (temp_result.size() > result.size())
result = temp_result;
}
cout << result.size() << endl;
}
void MLCS_bitmap(int query_vertex) {
if (!(PMC_index[query_vertex].size() >= k + 1 && PMC_index[query_vertex][k].size() == (number_of_layers + 1))) {
cout << "No result!" << endl;
return;
}
set<vector<int>> candidate_layers_set;
for (int layer_num = number_of_layers; layer_num >= d; layer_num--) {
for (auto layers : PMC_index[query_vertex][k][layer_num]) {
auto sub_layers = generate_sub_layers(layers);
for (auto sub_layer : sub_layers) {
candidate_layers_set.insert(sub_layer);
}
}
}
vector<bool> visited_vertex_vec(multilayer_graph.maximum_vertex + 1, false);
for (auto layers : candidate_layers_set) {
std::fill(visited_vertex_vec.begin(), visited_vertex_vec.end(), false);
vector<int> temp_result;
queue<int> Q;
Q.push(query_vertex);
BitMap target_bitmap(number_of_layers);
for (auto layer : layers) {
target_bitmap.set_one(layer);
}
visited_vertex_vec[query_vertex] = true;
while (!Q.empty()) {
int front_vertex = Q.front();
Q.pop();
temp_result.push_back(front_vertex);
for (auto neighbor: projected_graph.adjacency_list[front_vertex]) {
if (visited_vertex_vec[neighbor]) {
continue;
}
visited_vertex_vec[neighbor] = true;
if (!(PMC_index_bitmap[neighbor].size() >= k + 1 &&
PMC_index_bitmap[neighbor][k].size() == number_of_layers + 1)) {
continue;
}
bool dominate = false;
for (int layer_num = number_of_layers; layer_num >= d; layer_num--) {
if (dominate) {
break;
}
for (auto temp_bitmap: PMC_index_bitmap[neighbor][k][layer_num]) {
bool temp_dominate = true;
for (int i = 0; i < target_bitmap.value.size(); i++) {
unsigned int temp_bits = ((target_bitmap.value[i] & temp_bitmap.value[i]) ^ target_bitmap.value[i]);
if (temp_bits != 0) {
temp_dominate = false;
break;
}
}
if (temp_dominate) {
dominate = true;
break;
}
}
}
if (dominate) {
Q.push(neighbor);
}
}
}
if (temp_result.size() > result.size())
result = temp_result;
}
// for (auto layers : candidate_layers_set) {
// vector<int> temp_result;
// unordered_set<int> visited_vertex;
// queue<int> Q;
// Q.push(query_vertex);
// BitMap target_bitmap(number_of_layers);
// for (auto layer : layers) {
// target_bitmap.set_one(layer);
// }
// while (!Q.empty()) {
// int front_vertex = Q.front();
// Q.pop();
// temp_result.push_back(front_vertex);
// for (auto neighbor: projected_graph.adjacency_list[front_vertex]) {
// if (visited_vertex.find(neighbor) != visited_vertex.end()) {
// continue;
// }
// visited_vertex.insert(neighbor);
// if (!(PMC_index_bitmap[neighbor].size() >= k + 1 &&
// PMC_index_bitmap[neighbor][k].size() == number_of_layers + 1)) {
// continue;
// }
// bool dominate = false;
// for (int layer_num = number_of_layers; layer_num >= d; layer_num--) {
// if (dominate) {
// break;
// }
// for (auto temp_bitmap: PMC_index_bitmap[neighbor][k][layer_num]) {
// bool temp_dominate = true;
// for (int i = 0; i < target_bitmap.value.size(); i++) {
// unsigned int temp_bits = ((target_bitmap.value[i] & temp_bitmap.value[i]) ^ target_bitmap.value[i]);
// if (temp_bits != 0) {
// temp_dominate = false;
// break;
// }
// }
// if (temp_dominate) {
// dominate = true;
// break;
// }
// }
// }
// if (dominate) {
// Q.push(neighbor);
// }
// }
// }
// if (temp_result.size() > result.size())
// result = temp_result;
// }
cout << result.size() << endl;
}
void result_test(){
vector<pair<int, int>> k_d_list = {{5, 1},
{5, 2},
{5, 3},
{5, 4},
{5, 5},
{5, 6},
{10, 1},
{10, 2},
{10, 3},
{10, 4},
{10, 5},
{15, 1},
{15, 2},
{15, 3},
{15, 4},
{20, 1},
{20, 2},
{20, 3}};
for (auto k_d_pair: k_d_list) {
k = k_d_pair.first;
d = k_d_pair.second;
//// get the composition of d layers
vector<vector<int>> layer_composition;
vector<int> layer_array = multilayer_graph.layers_iterator;
vector<bool> layer_visited(multilayer_graph.number_of_layers, false);
generate_layer_composition(0, 0, layer_composition, layer_array, layer_visited);
int max_result = 0;
for (auto composition: layer_composition) {
int count_num = 0;
vector<int> temp_result;
for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
if (k > PMC_index[v].size() - 1 || PMC_index[v][k].size() == 0) {
continue;
}
bool exist = false;
for (int layer_num = composition.size(); layer_num < number_of_layers + 1; layer_num++) {
if (exist || layer_num > PMC_index[v][k].size() - 1)
break;
for (auto layers: PMC_index[v][k][layer_num]) {
bool dominate = true;
for (auto layer: composition) {
if (std::find(layers.begin(), layers.end(), layer) == layers.end()) {
dominate = false;
break;
}
}
if (dominate) {
exist = true;
break;
}
}
}
if (exist) {
count_num++;
temp_result.push_back(v);
}
}
if (count_num > max_result) {
max_result = count_num;
result = temp_result;
}
// cout << "index count:" << count_num << endl;
}
// cout << "k:" << k << " " << "d:" << d << endl;
// cout << "max num:" << max_result << endl;
// cout << result.size() << endl;
// cout << "Query result:" << result[0] << endl;
cout << k << " " << d << " " << result[0] << endl;
}
// vector<int> k_list = {5, 10, 15, 20};
// vector<int> d_list = {1, 2, 3, 4, 5, 6, 7};
// for (int i = 0; i < k_list.size(); i++) {
// for (int j = 0; j < d_list.size(); j++) {
// k = k_list[i];
// d = d_list[j];
// //// get the composition of d layers
// vector<vector<int>> layer_composition;
// vector<int> layer_array = multilayer_graph.layers_iterator;
// vector<bool> layer_visited(multilayer_graph.number_of_layers, false);
// generate_layer_composition(0, 0, layer_composition, layer_array, layer_visited);
// int max_result = 0;
// for (auto composition : layer_composition) {
// int count_num = 0;
// for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
// if (k > PMC_index[v].size() - 1 || PMC_index[v][k].size() == 0) {
// continue;
// }
// bool exist = false;
// for (int layer_num = composition.size(); layer_num < number_of_layers + 1; layer_num++) {
// if (exist || layer_num > PMC_index[v][k].size() - 1)
// break;
// for (auto layers: PMC_index[v][k][layer_num]) {
// bool dominate = true;
// for (auto layer: composition) {
// if (std::find(layers.begin(), layers.end(), layer) == layers.end()) {
// dominate = false;
// break;
// }
// }
// if (dominate) {
// exist = true;
// break;
// }
// }
// }
// if (exist) {
// count_num++;
// }
// }
// if (count_num > max_result) {
// max_result = count_num;
// }
//// cout << "index count:" << count_num << endl;
// }
// cout << "k:" << k << " " << "d:" << d << endl;
// cout << "max num:" << max_result << endl;
// }
// }
}
void build_trie() {
tries.resize(k_max + 1);
trie_vertex_node.resize(multilayer_graph.maximum_vertex + 1);
for (int i = 0; i < multilayer_graph.maximum_vertex + 1; i++) {
trie_vertex_node[i].resize(k_max + 1);
}
long long total_size_trie = 0;
int node_num = 0;
int vertex_num = 0;
for (int temp_k = 1; temp_k <= k_max; temp_k++) {
auto *root = new trie_node(-1);
node_num++;
for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
if (PMC_index[v].size() < temp_k + 1)
continue;
for (int temp_d = 1; temp_d < PMC_index[v][temp_k].size(); temp_d++) {
for (auto layers : PMC_index[v][temp_k][temp_d]) {
trie_node* node = root;
for (int i = 0; i < layers.size(); i++) {
int layer = layers[i];
bool exist = false;
for (auto child : node->child_node) {
if (child->layer_id == layer) {
node = child;
exist = true;
break;
}
}
if (!exist) {
node_num++;
total_size_trie += 4;
total_size_trie += 4;
total_size_trie += 1;
trie_node *new_node = new trie_node(layer);
new_node->layer_id = layer;
int insert_pos = 0;
while (insert_pos < node->child_node.size()) {
if (layer > node->child_node[insert_pos]->layer_id) {
insert_pos++;
} else {
break;
}
}
node->child_node.insert(node->child_node.begin() + insert_pos, new_node);
total_size_trie += 8;
total_size_trie += 8;
new_node->father_node = node;
node = new_node;
// update the height
trie_node* temp_node = node;
while (temp_node != root) {
if (temp_node->father_node->height < temp_node->height + 1) {
temp_node->father_node->height = temp_node->height + 1;
temp_node = temp_node->father_node;
} else {
break;
}
}
}
if (i == layers.size() - 1) {
trie_vertex_node[v][temp_k].push_back(node);
total_size_trie += 4;
node->vertex_vec.push_back(v);
vertex_num++;
node->dominate = true;
}
}
}
}
}
tries[temp_k] = root;
}
cout << "Number of Trie Nodes:" << node_num << endl;
cout << "Number of Vertex:" << vertex_num << endl;
// total_size_trie = 0;
// total_size_trie = node_num * (4 + 4 + 8 + 8 + 1) + vertex_num * 4;
for (int i = 0; i < trie_vertex_node.size(); i++) {
for (int temp_k = 1; temp_k <= k_max; temp_k++) {
total_size_trie += trie_vertex_node[i][temp_k].size() * 8;
}
}
cout << "Trie Size:" << (double)total_size_trie / 1024.0 / 1024.0 << "MB" << endl;
index_size = (double)total_size_trie / 1024.0 / 1024.0;
long long total_graph_size = 0;
for (int v = 0; v < multilayer_graph.maximum_vertex + 1; v++) {
for (auto l = 0; l < number_of_layers; l++) {
total_graph_size += multilayer_graph.adjacency_list[v][l].size() * 4;
}
}
cout << "Graph Size:" << (double)total_graph_size / 1024.0 / 1024.0 << "MB" << endl;
graph_size = (double)total_graph_size / 1024.0 / 1024.0;
}
void trie_query_test() {
k = 1;
trie_node *root_node;
if (k <= tries.size() - 1) {
root_node = tries[k];
} else {
return;
}
vector<vector<int>> layer_composition = {{0},
{1},
{2},
{3},
{1, 2},
{0, 3},
{1, 2, 3},
{0, 2},
{0, 2, 3},
{1,8},
{2,9},
{5,6}};
for (auto match_layers : layer_composition) {
stack<pair<trie_node *, int>> stack_node;
stack_node.emplace(root_node, 0);
set<int> test_result;
while (!stack_node.empty()) {
auto top_element = stack_node.top();
stack_node.pop();
trie_node *node = top_element.first;
int match_index = top_element.second;
if (node->layer_id == match_layers[match_index]) {
if (match_index < match_layers.size() - 1) {
match_index++;
} else if (match_index == match_layers.size() - 1) {
// add vertices of the subtree into result;
queue<trie_node *> Q;
Q.push(node);
while (!Q.empty()) {
auto front = Q.front();
Q.pop();
for (auto v: front->vertex_vec) {
test_result.insert(v);