%0 Journal Article %A Agueda, R. %A Borozan, V. %A Díaz Sánchez, Raquel %A Manoussakis, Y. %A Montero, L. %T Proper Hamiltonian cycles in edge-colored multigraphs %D 2017 %@ 0012-365X %U https://hdl.handle.net/20.500.14352/17895 %X 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. %~