The 3-split of multipaths and multicycles with multiplicity 2

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/65876

Title:	The 3-split of multipaths and multicycles with multiplicity 2
Authors:	謝孟萍;Hsieh,Meng-Ping
Contributors:	數學系
Keywords:	圖形三分解;3-split
Date:	2014-07-02
Issue Date:	2014-10-15 17:16:35 (UTC+8)
Publisher:	國立中央大學
Abstract:	令G為一個圖(graph)，若G的邊(edges)可分解成t個同構之子圖，則此t個子圖稱為G的t-split，且稱G是可t分解的(t-splittable)。在這個論文裡，我們證明了以下的結果。一、設Q為一個重邊數為2，且總邊數可被3整除的多重路徑(multipaths)，則Q為可三分解的。二、設C為一個重邊數為2，且總邊數可被3整除的多重圈(multicycles)，則C為可三分解的。 ;Let G be a graph and t be a positive integer. A t-split of G is a partition of the edges of G into t isomorphic subgraphs. A graph is said to be t-splittable if it has a t-split. In this thesis we prove the following results. Theorem. Let Q be a multipath with multiplicity 2 such that jE(Q)j=0 (mod 3). Then Q is 3-splittable. Theorem. Let C be a multicycle with multiplicity 2 such that jE(C)j=0 (mod 3). Then C is 3-splittable.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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