Butterfly-Core Community Search over Labeled Graphs

05/14/2021
by   Zheng Dong, et al.
0

Community search aims at finding densely connected subgraphs for query vertices in a graph. While this task has been studied widely in the literature, most of the existing works only focus on finding homogeneous communities rather than heterogeneous communities with different labels. In this paper, we motivate a new problem of cross-group community search, namely Butterfly-Core Community (BCC), over a labeled graph, where each vertex has a label indicating its properties and an edge between two vertices indicates their cross relationship. Specifically, for two query vertices with different labels, we aim to find a densely connected cross community that contains two query vertices and consists of butterfly networks, where each wing of the butterflies is induced by a k-core search based on one query vertex and two wings are connected by these butterflies. Indeed, the BCC structure admits the structure cohesiveness and minimum diameter, and thus can effectively capture the heterogeneous and concise collaborative team. Moreover, we theoretically prove this problem is NP-hard and analyze its non-approximability. To efficiently tackle the problem, we develop a heuristic algorithm, which first finds a BCC containing the query vertices, then iteratively removes the farthest vertices to the query vertices from the graph. The algorithm can achieve a 2-approximation to the optimal solution. To further improve the efficiency, we design a butterfly-core index and develop a suite of efficient algorithms for butterfly-core identification and maintenance as vertices are eliminated. Extensive experiments on eight real-world networks and four novel case studies validate the effectiveness and efficiency of our algorithms.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/25/2023

Significant-attributed Community Search in Heterogeneous Information Networks

Community search is a personalized community discovery problem aimed at ...
research
08/30/2019

Fast Algorithms for Intimate-Core Group Search in Weighted Graphs

Community search that finds query-dependent communities has been studied...
research
02/17/2023

Query-Centered Temporal Community Search via Time-Constrained Personalized PageRank

Existing temporal community search suffers from two defects: (i) they ig...
research
12/03/2020

Budget Constrained Interactive Search for Multiple Targets

Interactive graph search leverages human intelligence to categorize targ...
research
12/01/2020

Better Fewer but Better: Community Search with Outliers

Given a set of vertices in a network, that we believe are of interest fo...
research
09/21/2023

Temporal Network Core Decomposition and Community Search

We introduce a new generalization of the k-core decomposition for tempor...
research
12/04/2019

Keyword Aware Influential Community Search in Large Attributed Graphs

We introduce a novel keyword-aware influential community query KICQ that...

Please sign up or login with your details

Forgot password? Click here to reset