RT Journal Article T1 Proper Hamiltonian cycles in edge-colored multigraphs A1 Agueda, R. A1 Borozan, V. A1 Díaz Sánchez, Raquel A1 Manoussakis, Y. A1 Montero, L. AB 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. PB Elsevier SN 0012-365X YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/17895 UL https://hdl.handle.net/20.500.14352/17895 LA eng DS Docta Complutense RD 4 abr 2025