D-cores: Measuring collaboration of directed graphs based on degeneracy

Christos Giatsidis, Dimitrios M. Thilikos, Michalis Vazirgiannis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Community detection and evaluation is an important task in graph mining. In many cases, a community is defined as a subgraph characterized by dense connections or interactions among its nodes. A large variety of measures have been proposed to evaluate the quality of such communities - in most cases ignoring the directed nature of edges. In this paper, we introduce novel metrics for evaluating the collaborative nature of directed graphs - a property not captured by the single node metrics or by other established community evaluation metrics. In order to accomplish this objective, we capitalize on the concept of graph degeneracy and define a novel D-core framework, extending the classic graph-theoretic notion of k-cores for undirected graphs to directed ones. Based on the D-core, which essentially can be seen as a measure of the robustness of a community under degeneracy, we devise a wealth of novel metrics used to evaluate graph collaboration features of directed graphs. We applied the D-core approach on large real-world graphs such as Wikipedia and DBLP and report interesting results at the graph as well at node level.

Original languageEnglish (US)
Title of host publicationProceedings - 11th IEEE International Conference on Data Mining, ICDM 2011
Pages201-210
Number of pages10
DOIs
StatePublished - 2011
Event11th IEEE International Conference on Data Mining, ICDM 2011 - Vancouver, BC, Canada
Duration: Dec 11 2011Dec 14 2011

Publication series

NameProceedings - IEEE International Conference on Data Mining, ICDM
ISSN (Print)1550-4786

Other

Other11th IEEE International Conference on Data Mining, ICDM 2011
Country/TerritoryCanada
CityVancouver, BC
Period12/11/1112/14/11

Keywords

  • Community evaluation metrics
  • Cores
  • Degeneracy
  • Graph mining

ASJC Scopus subject areas

  • General Engineering

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