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URN etd-0715105-004218 Author Wen-min Jhan Author's Email Address No Public. Statistics This thesis had been viewed 5184 times. Download 1523 times. Department Applied Mathematics Year 2004 Semester 2 Degree Master Type of Document Language English Title Circular chromatic indexes of generalized necklaces Date of Defense 2005-06-03 Page Count 25 Keyword necklaces circular chromatic index Abstract Suppose $G$ is a graph and $e=ab$ is an edge of $G$. For a

positive integer $k$, the $G$-necklace of length $k$ (with respect

to edge $e$), denoted by $N_k(G)$, is the graph constructed as

follows: Take the vertex disjoint union of $k$ copies of $G$, say

$Q_1 cup Q_2 cup cdots cup Q_k$, where each $Q_i$ is a copy of

$G$, with $e_i=a_ib_i$ be the copy of $e=a b$ in $Q_i$. Add a

vertex $u$, delete the edges $e_i$ for $i=1, 2, cdots, k$ and

add edges: $ua_1, b_1a_2, b_2a_3, cdots, b_{k-1}a_k, b_ku$. This

thesis determines the circular chromatic indexes of $G$-necklaces

for $G = K_{2n}$ and $G= K_{m, m}$.(見電子論文第六頁)Advisory Committee none - chair

none - co-chair

none - co-chair

Xuding Zhu - advisor

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etd-0715105-004218.pdf Date of Submission 2005-07-15