Proper Hamiltonian cycles 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 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.
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)
In this thesis, we study different problems in edge-colored graphs and edge-colored multigraphs, such as proper connection, strong edge colorings, and proper hamiltonian paths and cycles. Finally, we improve the known O(n) algorithm to decide the behavior of a graph under the biclique operator, by studying bicliques in graphs without false-twin vertices. In particular, • We first study the k-pr...
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 340 شماره
صفحات -
تاریخ انتشار 2017