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arXiv · 1411.5240

Proper Hamiltonian Cycles in Edge-Colored Multigraphs

Raquel Águeda·Valentin Borozan·Raquel Díaz·Yannis Manoussakis·Leandro Montero
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Abstract

A $c$-edge-colored multigraph has each edge colored with one of the $c$ available colors and no two parallel edges have the same color. A proper Hamiltonian cycle is a cycle containing all the vertices of the multigraph such that no two adjacent edges have the same color. In this work we establish sufficient conditions for a multigraph to have a proper Hamiltonian cycle, depending on several parameters such as the number of edges and the rainbow degree.

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Raquel Águeda, Valentin Borozan, Raquel Díaz, Yannis Manoussakis, Leandro Montero. 2017-02-13. Proper Hamiltonian Cycles in Edge-Colored Multigraphs. https://arxiv.org/abs/1411.5240

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