Presentation 2018-01-26
Methods for Constructing Simple Undirected Regular Graphs Based on Generalized de Bruijn Graphs
Ryoya Ishii, Norikazu Takahashi,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The Generalized de Bruijn Graphs (GDBG) are a class of directed regular graphs. Since the average shortest path length of a GDBG is short, there have been some attempts to design computer networks in data centers by using the idea of GDBGs. However, GDBGs contain some useless edges such as loops, and thus cannot be directly applied to the design of undirected regular graphs, which are generally used for network models. In this report, we propose some algorithms to construct simple undirected 4 and 3-regular graphs based on GDBGs, prove their validity, and evaluate numerically the average shortest path length and the diameter of obtained graphs.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) network / generalized de Bruijn graph / random regular graph / average shortest path length / diameter
Paper # NLP2017-90
Date of Issue 2018-01-19 (NLP)

Conference Information
Committee MBE / NC / NLP
Conference Date 2018/1/26(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Kyushu Institute of Technology
Topics (in Japanese) (See Japanese page)
Topics (in English) ME, generalImplementation of Neuro Computing,Analysis and Modeling of Human Science,
Chair Kazuki Nakajima(Univ. of Toyama) / Masafumi Hagiwara(Keio Univ.) / Masaharu Adachi(Tokyo Denki Univ.)
Vice Chair Masaki Kyoso(TCU) / Yutaka Hirata(Chubu Univ.) / Norikazu Takahashi(Okayama Univ.)
Secretary Masaki Kyoso(Toyama Pref. Univ.) / Yutaka Hirata(Kindai Univ.) / Norikazu Takahashi(Tokyo Inst. of Tech.)
Assistant Kim Juhyon(Univ. of Toyama) / Takumi Kobayashi(YNU) / Yoshihisa Shinozawa(Keio Univ.) / Keiichiro Inagaki(Chubu Univ.) / Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.)

Paper Information
Registration To Technical Committee on ME and Bio Cybernetics / Technical Committee on Neurocomputing / Technical Committee on Nonlinear Problems
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Methods for Constructing Simple Undirected Regular Graphs Based on Generalized de Bruijn Graphs
Sub Title (in English)
Keyword(1) network
Keyword(2) generalized de Bruijn graph
Keyword(3) random regular graph
Keyword(4) average shortest path length
Keyword(5) diameter
1st Author's Name Ryoya Ishii
1st Author's Affiliation Okayama University(Okayama Univ.)
2nd Author's Name Norikazu Takahashi
2nd Author's Affiliation Okayama University(Okayama Univ.)
Date 2018-01-26
Paper # NLP2017-90
Volume (vol) vol.117
Number (no) NLP-415
Page pp.pp.23-28(NLP),
#Pages 6
Date of Issue 2018-01-19 (NLP)