A Study on The Graph Isomorphism with Restriction

Research Project

Project/Area Number	26330018
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Research Field	Theory of informatics
Research Institution	Tottori University of Environmental Studies
Principal Investigator	Nagoya Takayuki 公立鳥取環境大学, 人間形成教育センター, 准教授 (90349796)
Project Period (FY)	2014-04-01 – 2017-03-31
Project Status	Completed (Fiscal Year 2016)
Budget Amount *help	¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000) Fiscal Year 2016: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000) Fiscal Year 2015: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000) Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords	アルゴリズム理論 / 計算量理論 / グラフ理論 / 制約付きグラフ同型性判定問題 / 計算複雑さ / アルゴリズム
Outline of Final Research Achievements	The Graph Isomrophism with Restriction is an NP-complete problem that is an extension of the well-known Graph Isomorphism Problem. In this study, we have shown that the problem can be solved in polynomial-time when the given graphs are partial k-trees. The algorithm can be implemented more efficiently if the given binary relation have a transitive property. Furthermore, we designed an algorithm to solve the Prefix Set of Graph Isomorphism whose time complexity can be reduced depending on the size of domain of the given partial function.

Report

(4 results)