Vertex Distinguishing Edge- and Total-Colorings of Cartesian and other Product Graphs
نویسندگان
چکیده
This paper studies edgeand total-colorings of graphs in which (all or only adjacent) vertices are distinguished by their sets of colors. We provide bounds for the minimum number of colors needed for such colorings for the Cartesian product of graphs along with exact results for generalized hypercubes. We also present general bounds for the direct, strong and lexicographic products.
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عنوان ژورنال:
- Ars Comb.
دوره 107 شماره
صفحات -
تاریخ انتشار 2012