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 |
Download PDF |
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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) |
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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) |
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Keyword(1) |
Bubble-sort graph |
Keyword(2) |
bipancyclic |
Keyword(3) |
edge-bipancyclic |
Keyword(4) |
hamiltonian cycle |
Keyword(5) |
fault-tolerance |
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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 |
7 |
Date of Issue |
2005-09-08 (COMP) |