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URN 
etd0618105000001 
Author 
ChaoChi Yang 
Author's Email Address 
filycook@yahoo.com.tw 
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Department 
Applied Mathematics 
Year 
2004 
Semester 
2 
Degree 
Master 
Type of Document 

Language 
English 
Title 
Perfectness of the complements of circular complete graph 
Date of Defense 
20050603 
Page Count 
18 
Keyword 
perfect

Abstract 
For p>=2q，let Kp/q be the graph with vertices 0，1，2，…，p1 in which i~j if q<=ij<=pq. The circular chromatic number Xc(G) of a graph G is the minimum of those p/q for which G admits a homomorphism to Kp/q. The circular clique number Wc(G) of G is the maximum of those p/q for which Kp/q admits a homomorphism to G.. A graph G is circular perfect if for every induced subgraph H of G we have Xc(H)=Wc(H). In this paper,we characterize those rational numbers p/q for which the complement of Kp/q are circular perfect. We also prove that if G(n，S) is a circulant graph whose generating set S has cardinality at most 3，then G(n，S) is circular perfect. 
Advisory Committee 
D. J. Guan  chair
TsaiLien Wong  cochair
LiDa Tong  cochair
Xuding Zhu  advisor

Files 
indicate access worldwide 
Date of Submission 
20050618 
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