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arXiv · 1210.4370

Decompositions of complete multipartite graphs via generalized graceful labelings

A. Benini·A. Pasotti
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Abstract

We prove the existence of infinite classes of cyclic G-decompositions of the complete multipartite graph, G being a caterpillar, a hairy cycle or a cycle. All the results are obtained by the construction of d-divisible $α$-labelings of G, introduced in [A. Pasotti, On d-graceful labelings, to appear on Ars Combin.] as a generalization of classical $α$-labelings, whose existence implies that one of graph decompositions.

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A. Benini, A. Pasotti. 2012-10-16. Decompositions of complete multipartite graphs via generalized graceful labelings. https://arxiv.org/abs/1210.4370

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