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Chip Firing and Fractional Chromatic Number of the Kneser Graph

In this thesis we focus on the investigation of the relation between the the chip-firing and fractional coloring. Since chi_{f}(G)=inf {n/k : G is homomorphic to K(n,k)}, we find that G has an (n,k)-periodic sequence for some configuration if and only if G is homomorphic to
K(n,k). Then we study the periodic configurations for the Kneser graphs. Finally, we try to evaluate the number of chips of the periodic configurations for K(n,k).

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0629104-161112
Date29 June 2004
CreatorsLiao, Shih-kai
ContributorsXuding Zhu, S. C. Liaw, H. G. Yeh, Li-Da Tong
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0629104-161112
Rightsunrestricted, Copyright information available at source archive

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