Measuring tree structure by mapping on its power set

Mingming Zhang, Shinichiro Omachi

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

Abstract

In pattern recognition, graphs as structural pattern representations become alluring more and more due to their richer representability than those of feature vectors. However, there are many challenging problems in using graphs for pattern recognition. One is how to exploit so much information efficiently, such as labels, weights, directions, relationships and structures included in a graph. In this paper, we focus on the structure problem of graphs, especially tree isomorphism, which is almost suffered from all kinds of graph matching problems. One of the reasons of the difficulty to deal with the structure of graphs is the heterogeneity that two different kinds of information exist concurrently: vertex and edge. To overcome this difficulty, we propose a homogeneous representation for a graph by mapping a graph to the subset of its vertex power set by preserving the connectivity, i.e. edge information. Based on this representation, we propose a numeric sequence to represent the structure of a graph, and illustrate the efficiency on the tree isomorphism problem.

Original languageEnglish
Title of host publicationProceedings - 2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010
Pages844-848
Number of pages5
DOIs
Publication statusPublished - 2010
Event2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010 - Beijing, China
Duration: 2010 Sep 242010 Sep 26

Publication series

NameProceedings - 2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010

Other

Other2010 2nd IEEE International Conference on Network Infrastructure and Digital Content, IC-NIDC 2010
CountryChina
CityBeijing
Period10/9/2410/9/26

Keywords

  • Structure analysis
  • Tree indexing
  • Tree isomorphism
  • Tree measure

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture

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