The Fan-Raspaud conjecture: A randomized algorithmic approach and application to the pair assignment problem in cubic networks

• Autorzy: Piotr Formanowicz , Krzysztof Tanaś
• Języki publikacji: EN

Abstrakty

EN

It was conjectured by Fan and Raspaud (1994) that every bridgeless cubic graph contains three perfect matchings such that every edge belongs to at most two of them. We show a randomized algorithmic way of finding Fan-Raspaud colorings of a given cubic graph and, analyzing the computer results, we try to find and describe the Fan-Raspaud colorings for some selected classes of cubic graphs. The presented algorithms can then be applied to the pair assignment problem in cubic computer networks. Another possible application of the algorithms is that of being a tool for mathematicians working in the field of cubic graph theory, for discovering edge colorings with certain mathematical properties and formulating new conjectures related to the Fan-Raspaud conjecture.

Słowa kluczowe

EN

cubic graph; edge coloring; perfect matching; randomized algorithms; computer networks

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2012
• Tom: 22
• Numer: 3
• Strony: 765-778

Daty

wydano

2012

otrzymano

2011-03-27

poprawiono

2011-09-21

poprawiono

2012-01-16

Twórcy

autor

Piotr Formanowicz

• Institute of Computing Science, Poznań University of Technology, Piotrowo 2, 60-965 Poznań, Poland
• Institute of Bioorganic Chemistry, Polish Academy of Sciences, Z. Noskowskiego 12/14, 61-704 Poznań, Poland

autor

Krzysztof Tanaś

• Institute of Computing Science, Poznań University of Technology, Piotrowo 2, 60-965 Poznań, Poland

Bibliografia

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Identyfikatory

DOI

10.2478/v10006-012-0057-y