NCSU Institutional Repository >
NC State Theses and Dissertations >
Theses >

Please use this identifier to cite or link to this item: http://www.lib.ncsu.edu/resolver/1840.16/1895

Title: Canonical Graph Decomposition in Matching
Authors: Yaghi, Haytham H
Advisors: Dr. Huaiyu Dai, Committee Member
Dr. Carla Savage, Committee Member
Dr. Hamid Krim, Committee Chair
Keywords: belief propagation
probabilistic relaxation
graph decomposition
graph isomorphism
Issue Date: 15-Apr-2009
Degree: MS
Discipline: Electrical Engineering
Abstract: In the following thesis, we present our proposed probabilistic approach to the graph isomorphism problem. Through a "divide and conquer" approach, a graph is first decomposed into unique subgraphs, termed atoms, that are used to represent a decomposed graph as a bipartite attributed graph. We propose a modified probabilistic relaxation that simulates belief propagation and operates on the generated bipartite graph, yielding a match matrix that maps together isomorphic atoms from different graphs. Our proposed approach enforces a two way matching constraint thatguarantees a one-to-one match between isomorphic atoms. On average, the approach converges for isomorphic graphs and diverges for non-isomorphic graphs.
URI: http://www.lib.ncsu.edu/resolver/1840.16/1895
Appears in Collections:Theses

Files in This Item:

File SizeFormat
etd.pdf1.91 MBAdobe PDFView/Open

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.