Searching For A Single Community in a Graph

Abstract

In standard graph clustering/community detection, one is interested in partitioning the graph into more densely connected subsets of nodes. In contrast, the search problem of this paper aims to only find the nodes in a single such community, the target, out of the many communities that may exist. To do so , we are given suitable side information about the target; for example, a very small number of nodes from the target are labeled as such. We consider a general yet simple notion of side information: all nodes are assumed to have random weights, with nodes in the target having higher weights on average. Given these weights and the graph, we develop a variant of the method of moments that identifies nodes in the target more reliably, and with lower computation, than generic community detection methods that do not use side information and partition the entire graph.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jun 14, 2016
Source ID
10.1145/2964791.2901494

Entities

People

  • Avik Ray
  • Sanjay Shakkottai
  • Sujay Sanghavi

Organizations

  • Army Research Office
  • National Science Foundation
  • United States Department of Transportation
  • University of Texas at Austin

Tags

Readers

  • Computer Networking
  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design