Decompositions of complete graphs into paths and cycles

Tay Woei Shyu

Decompositions of complete graphs into paths and cycles

Tay Woei Shyu^*

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

38 引文斯高帕斯（Scopus）

摘要

Abstract. Let P_k+1 denote a path of length k and let C _k denote a cycle of length k. As usual K_n denotes the complete graph on n vertices. In this paper we investigate decompositions of K_n into paths and cycles, and give some necessary and/or sufficient conditions for such a decomposition to exist. Besides, we obtain a necessary and sufficient condition for decomposing K_n into p copies of P ₅ and q copies of C₄ for all possible values of p ≥ 0 and q ≥ 0.

原文	英語
頁（從 - 到）	257-270
頁數	14
期刊	Ars Combinatoria
卷	97
出版狀態	已發佈 - 2010 10月

ASJC Scopus subject areas

一般數學

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引用此

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AB - Abstract. Let Pk+1 denote a path of length k and let C k denote a cycle of length k. As usual Kn denotes the complete graph on n vertices. In this paper we investigate decompositions of Kn into paths and cycles, and give some necessary and/or sufficient conditions for such a decomposition to exist. Besides, we obtain a necessary and sufficient condition for decomposing Kn into p copies of P 5 and q copies of C4 for all possible values of p ≥ 0 and q ≥ 0.

KW - Complete graph

KW - Cycle

KW - Graph decompositions

KW - Path

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Decompositions of complete graphs into paths and cycles

摘要

ASJC Scopus subject areas

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