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arXiv · 1406.5376

Proper Hamiltonian Paths in Edge-Coloured Multigraphs

Raquel Águeda·Valentin Borozan·Marina Groshaus·Yannis Manoussakis·Gervais Mendy·Leandro Montero
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Abstract

Given a $c$-edge-coloured multigraph, a proper Hamiltonian path is a path that contains all the vertices of the multigraph such that no two adjacent edges have the same colour. In this work we establish sufficient conditions for an edge-coloured multigraph to guarantee the existence of a proper Hamiltonian path, involving various parameters as the number of edges, the number of colours, the rainbow degree and the connectivity.

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Raquel Águeda, Valentin Borozan, Marina Groshaus, Yannis Manoussakis, Gervais Mendy, Leandro Montero. 2014-06-20. Proper Hamiltonian Paths in Edge-Coloured Multigraphs. https://arxiv.org/abs/1406.5376

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