Balanced Degree-Magic Labelings of Complete Bipartite Graphs under Binary Operations
نویسندگان
چکیده مقاله:
A graph is called supermagic if there is a labeling of edges where the edges are labeled with consecutive distinct positive integers such that the sum of the labels of all edges incident with any vertex is constant. A graph G is called degree-magic if there is a labeling of the edges by integers 1, 2, ..., |E(G)| such that the sum of the labels of the edges incident with any vertex v is equal to (1+|E(G)|)deg(v)/2. Degree-magic graphs extend supermagic regular graphs. In this paper we find the necessary and sufficient conditions for the existence of balanced degree-magic labelings of graphs obtained by taking the join, composition, Cartesian product, tensor product and strong product of complete bipartite graphs.
منابع مشابه
Vertex-Magic Total Labelings of Complete Bipartite Graphs
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عنوان ژورنال
دوره 13 شماره 2
صفحات 1- 13
تاریخ انتشار 2018-10
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