Proceedings of the 9th Joint International Conference on Information Sciences (JCIS-06)

The Globally Bi-3*-Connected Property of the Brother Trees

Authors
Tung-Yang Ho 0, Po-Chun Kuo, Lih-Hsing Hsu
Corresponding Author
Tung-Yang Ho
0Ta Hwa Institute of Technology
Available Online October 2006.
DOI
https://doi.org/10.2991/jcis.2006.211How to use a DOI?
Keywords
hamiltonian, connectivity, container
Abstract
Assume that n is any positive integer. The brother tree BT(n)is an interesting family of 3-regular planar bipartite graphs recently proposed by Kao and Hsu. In any BT(n), we prove that there exist three internally-disjoint spanning paths joining x and y whenever x and y belong to different partite sets. Furthermore, for any three nodes x, y, and z of the same partite set, there exist three internally-disjoint spanning paths of BT(n)-z joining x and y.
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Proceedings
9th Joint International Conference on Information Sciences (JCIS-06)
Part of series
Advances in Intelligent Systems Research
Publication Date
October 2006
ISBN
978-90-78677-01-7
ISSN
1951-6851
DOI
https://doi.org/10.2991/jcis.2006.211How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Tung-Yang Ho
AU  - Po-Chun Kuo
AU  - Lih-Hsing Hsu
PY  - 2006/10
DA  - 2006/10
TI  - The Globally Bi-3*-Connected Property of the Brother Trees
BT  - 9th Joint International Conference on Information Sciences (JCIS-06)
PB  - Atlantis Press
SP  - 445
EP  - 448
SN  - 1951-6851
UR  - https://doi.org/10.2991/jcis.2006.211
DO  - https://doi.org/10.2991/jcis.2006.211
ID  - Ho2006/10
ER  -