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Paper Abstract and Keywords
Presentation 2005-09-15 09:25
Edge-bipancyclicity and edge-fault-tolerant bipancyclicity of bubble-sort graphs
Yosuke Kikuchi (JST), Toru Araki (Iwate Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) A bipartite graph $G$ is bipancyclic if $G$ has a cycle of length
$l$ for every even $4 \leq l \leq |V(G)|$.
For a bipancyclic graph $G$ and any edge $e$, $G$ is
edge-bipancyclic if $e$ lies on a cycle of any even length $l$ of
$G$.

In this paper, we show that the bubble-sort graph $B_n$ is
bipancyclic for $n \geq 4$, and also show that it is
edge-bipancyclic for $n \geq 5$.

Assume that $F$ is the subset of $E(B_n)$.
We prove that $B_n-F$ is bipancyclic, when $n \geq 4$ and
$|F| \leq n-3$.
Since $B_n$ is a $(n-1)$-regular graph, this result is optimal in the
worst case.
Keyword (in Japanese) (See Japanese page) 
(in English) Bubble-sort graph / bipancyclic / edge-bipancyclic / hamiltonian cycle / fault-tolerance / / /  
Reference Info. IEICE Tech. Rep., vol. 105, no. 273, COMP2005-28, pp. 1-7, Sept. 2005.
Paper # COMP2005-28 
Date of Issue 2005-09-08 (COMP) 
ISSN Print edition: ISSN 0913-5685
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Conference Information
Committee COMP  
Conference Date 2005-09-15 - 2005-09-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka Univ., Toyonaka Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2005-09-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Edge-bipancyclicity and edge-fault-tolerant bipancyclicity of bubble-sort graphs 
Sub Title (in English)  
Keyword(1) Bubble-sort graph  
Keyword(2) bipancyclic  
Keyword(3) edge-bipancyclic  
Keyword(4) hamiltonian cycle  
Keyword(5) fault-tolerance  
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Keyword(7)  
Keyword(8)  
1st Author's Name Yosuke Kikuchi  
1st Author's Affiliation ERATO QCI Project, Japan Science and Technology Agency (JST)
2nd Author's Name Toru Araki  
2nd Author's Affiliation Iwate University (Iwate Univ.)
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Speaker Author-1 
Date Time 2005-09-15 09:25:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2005-28 
Volume (vol) vol.105 
Number (no) no.273 
Page pp.1-7 
#Pages
Date of Issue 2005-09-08 (COMP) 


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