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- W2897866570 abstract "A graph $G$ is called edge-magic if there is a bijective function $f$ from the set of vertices and edges to the set ${1,2,ldots,|V(G)|+|E(G)|}$ such that the sum $f(x)+f(xy)+f(y)$ for any $xy$ in $E(G)$ is constant. Such a function is called an edge-magic labelling of G and the constant is called the valence of $f$. An edge-magic labelling with the extra property that $f(V(G))= {1,2,ldots,|V(G)|}$ is called super edge-magic. In this paper, we establish a relationship between the valences of (super) edge-magic labelings of certain types of bipartite graphs and the existence of a particular type of decompositions of such graphs." @default.
- W2897866570 created "2018-10-26" @default.
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- W2897866570 date "2018-10-08" @default.
- W2897866570 modified "2023-09-28" @default.
- W2897866570 title "(Di)graph decompositions and magic type labelings: a dual relation" @default.
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- W2897866570 doi "https://doi.org/10.48550/arxiv.1810.03994" @default.
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