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- W3214926948 abstract "In this paper, we define D-magic labelings for oriented graphs where D is a distance set. In particular, we label the vertices of the graph with distinct integers {1,2,…,|V(G)|} in such a way that the sum of all the vertex labels that are a distance in D away from a given vertex is the same across all vertices. We give some results related to the magic constant, construct a few infinite families of D-magic graphs, and examine trees, cycles, and multipartite graphs. This definition grew out of the definition of D-magic (undirected) graphs. This paper explores some of the symmetries we see between the undirected and directed version of D-magic labelings." @default.
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- W3214926948 date "2021-11-27" @default.
- W3214926948 modified "2023-09-27" @default.
- W3214926948 title "D-Magic Oriented Graphs" @default.
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- W3214926948 doi "https://doi.org/10.3390/sym13122261" @default.
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