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URN etd-0609104-223209 Author Sheng-hsien Tu Author's Email Address maxtwo@ms43.hinet.net Statistics This thesis had been viewed 5101 times. Download 1536 times. Department Applied Mathematics Year 2003 Semester 2 Degree Master Type of Document Language English Title Star extremal of circulant graphs Date of Defense 2004-06-04 Page Count 18 Keyword star extremal circulant graph Abstract A graph is called star extremal if its fractional chromatic number is equal to its circular chromatic number. Given integers n,k,k' such that 1<=k<=k'<=n/2,the circulant graph G(n,S_k,k') has vertex set [n]={0,1,2,...,n-1} in which i~j if k<=|i-j|<=k' or n-k'<= |i-j|<=n-k. It was known that for n=q(k+k')+r,where 0<=r <k+k', if k'>=5/4k,then G(n,S_k,k') is star extremal. In the thesis, we prove that if k'>=7/6k and q>=4, then G(n,S_k,k') is star extremal. Advisory Committee none - chair

none - co-chair

none - co-chair

Xuding Zhu - advisor

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etd-0609104-223209.pdf Date of Submission 2004-06-09