Proper Hamiltonian Paths in Edge-Colored Multigraphs
نویسندگان
چکیده
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 path is a path 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 path, depending on several parameters such as the number of edges, the rainbow degree, etc.
منابع مشابه
Graphs and colors : edge-colored graphs, edge-colorings and proper connections. (Graphes et couleurs : graphes arêtes-coloriés, coloration d'arêtes et connexité propre)
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ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 38 شماره
صفحات -
تاریخ انتشار 2011