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Paper Abstract and Keywords
Presentation 2006-09-26 10:30
Bipancyclicity and edge-bipancyclicity of Cayley graphs generated by transpositions
Yuuki Tanaka (Gunma Univ.), Yosuke Kikuchi (Tsuyama National College of Tech.), Toru Araki (Iwate Univ.), Yukio Shibata (Gunma Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Cycle is the most fundamental graph class. For a given graph, it is
interest to find cycles of various length as subgraphs in the graph.
The Cayley graph $\cay(S_n, S)$ on the symmetric group has an important
role for the study of Cayley graphs as interconnection networks.
In this paper, we have shown that the Cayley graph generated by
a transposition set is vertex-bipancyclic except the star graph.
We also show that it is edge-bipancyclic with some exceptions.
Keyword (in Japanese) (See Japanese page) 
(in English) Cayley graph / bipancyclicity / transposition tree / / / / /  
Reference Info. IEICE Tech. Rep., vol. 106, no. 258, COMP2006-25, pp. 1-8, Sept. 2006.
Paper # COMP2006-25 
Date of Issue 2006-09-19 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee COMP  
Conference Date 2006-09-26 - 2006-09-26 
Place (in Japanese) (See Japanese page) 
Place (in English) JAIST 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2006-09-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bipancyclicity and edge-bipancyclicity of Cayley graphs generated by transpositions 
Sub Title (in English)  
Keyword(1) Cayley graph  
Keyword(2) bipancyclicity  
Keyword(3) transposition tree  
1st Author's Name Yuuki Tanaka  
1st Author's Affiliation Gunma University (Gunma Univ.)
2nd Author's Name Yosuke Kikuchi  
2nd Author's Affiliation Tsuyama National College of Technology (Tsuyama National College of Tech.)
3rd Author's Name Toru Araki  
3rd Author's Affiliation Iwate University (Iwate Univ.)
4th Author's Name Yukio Shibata  
4th Author's Affiliation Gunma University (Gunma Univ.)
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Date Time 2006-09-26 10:30:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2006-25 
Volume (vol) IEICE-106 
Number (no) no.258 
Page pp.1-8 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2006-09-19 

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