Distance magic Cartesian product of graphs
نویسندگان
چکیده
24 A distance magic labeling of a graph G = (V,E) with |V | = n is a bijection 25 l : V → {1, . . . , n} such that the weight of every vertex v, computed as the sum 26 of the labels on the vertices in the open neighborhood of v, is a constant. 27 In this paper, we show that hypercubes with dimension divisible by four 28 are not distance magic. We also provide some positive results by providing 29 necessary and sufficient conditions for the Cartesian product of certain complete 30 multipartite graphs and the cycle on four vertices to be distance magic. 31
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 36 شماره
صفحات -
تاریخ انتشار 2016