Decomposition of complete graphs into small generalized prisms

Sylwia Cichacz; Dalibor Froncek; Mariusz Meszka

Decomposition of complete graphs into small generalized prisms

Sylwia Cichacz, Dalibor Froncek, Mariusz Meszka

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

A prism is the Cartesian product C_m{square subset}P₂. In other words, it is a graph consisting of two cycles of the same length whose corresponding vertices are joined by additional edges forming a matching. The problem of decomposition of complete graphs into prisms with 12 or 16 vertices was completely solved in [12]. In this paper we completely characterize the complete graphs that are decomposable into 3-regular bipartite graphs of order 12 or 16 that are a simple modification of prisms.

Original language	English (US)
Pages (from-to)	285-293
Number of pages	9
Journal	AKCE International Journal of Graphs and Combinatorics
Volume	10
Issue number	3
State	Published - Oct 1 2013

Keywords

3-regular bipartite graph
Graceful labeling
Graph decomposition
Prism
α-labeling

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AU - Meszka, Mariusz

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KW - Graceful labeling

KW - Graph decomposition

KW - Prism

KW - α-labeling

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Decomposition of complete graphs into small generalized prisms

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