Presentation 2020-05-15
A Genetic Algorithm for Minimizing Average Shortest Path Length of Regular Graphs
Reiji Hayashi, Tsuyoshi Migita, Norikazu Takahashi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) For the problem of finding a regular graph with given order and degree that minimizes the average shortest path length, we propose a novel genetic-algorithm-based method for finding an approximate solution. Since the search space consists only of regular graphs, existing genetic algorithms cannot be applied directly. We propose in this report a new crossover technique and a new mutation technique that guarantee regularity of graphs. We also evaluate the effectiveness of the proposed method experimentally.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) regular graph / average shortest path length / genetic algorithm / Havel-Hakimi theorem
Paper # NLP2020-3
Date of Issue 2020-05-08 (NLP)

Conference Information
Committee NLP
Conference Date 2020/5/15(1days)
Place (in Japanese) (See Japanese page)
Place (in English) Yamaguchi University (Tokiwa campus)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Hiroaki Kurokawa(Tokyo Univ. of Tech.)
Vice Chair Kiyohisa Natsume(Kyushu Inst. of Tech.)
Secretary Kiyohisa Natsume(Nippon Inst. of Tech.)
Assistant Yutaka Shimada(Saitama Univ.) / Toshikaza Samura(Yamaguchi Univ.)

Paper Information
Registration To Technical Committee on Nonlinear Problems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Genetic Algorithm for Minimizing Average Shortest Path Length of Regular Graphs
Sub Title (in English)
Keyword(1) regular graph
Keyword(2) average shortest path length
Keyword(3) genetic algorithm
Keyword(4) Havel-Hakimi theorem
1st Author's Name Reiji Hayashi
1st Author's Affiliation Okayama University(Okayama Univ.)
2nd Author's Name Tsuyoshi Migita
2nd Author's Affiliation Okayama University(Okayama Univ.)
3rd Author's Name Norikazu Takahashi
3rd Author's Affiliation Okayama University(Okayama Univ.)
Date 2020-05-15
Paper # NLP2020-3
Volume (vol) vol.120
Number (no) NLP-26
Page pp.pp.11-16(NLP),
#Pages 6
Date of Issue 2020-05-08 (NLP)