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Factorizations of complete graphs into tadpoles

Michael Kubesa, Tom Raiman

AKCE International Journal of Graphs and Combinatorics · 2020

doi:10.1016/j.akcej.2020.02.004 (opens in a new tab)

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Abstract

A tadpole (also a canoe paddle or lollipop) is a graph that arises from a cycle and a path by gluing a terminal vertex of the path to an arbitrary vertex of the cycle. In this article, we show that all tadpoles factorize the complete graph if n is odd. We use methods similar to those used for isomorphic factorizations of complete graphs into spanning trees. In of this article, we show that our methods do not work for isomorphic factorizations of into tadpoles if n is even.

Abstract licence: CC BY-NC

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