Super (a, d)-edge-antimagic total labelings of complete bipartite graphs
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DOI: 10.1007/s11464-017-0671-y
Abstract: An (a, d)-edge-antimagic total labeling of a graph G is a bijection f from V(G) ∪ E(G) onto {1, 2,…,|V(G)| + |E(G)|} with the property that the edge-weight set {f(x) + f(xy) + f(y) |… read more here.
Keywords: total labeling; super edge; edge antimagic; complete bipartite ... See more keywords
Computing Edge Weights of Magic Labeling on Rooted Products of Graphs
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DOI: 10.1155/2020/2160104
Abstract: Labeling of graphs with numbers is being explored nowadays due to its diverse range of applications in the fields of civil, software, electrical, and network engineering. For example, in network engineering, any systems interconnected in… read more here.
Keywords: graphs; labeling rooted; super edge; edge antimagic ... See more keywords
On super edge-magic deficiency of certain Toeplitz graphs
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DOI: 10.15672/hjms.2017.465
Abstract: A graph $G$ is called edge-magic if there exists a bijective function $\phi:V(G)\cup E(G)\to\{1, 2,\dots,|V(G)|+|E(G)|\}$ such that $\phi(x)+\phi(xy)+\phi(y)=c(\phi)$ is a constant for every edge $xy\in E(G)$, called the valence of $\phi$. Moreover, $G$ is said… read more here.
Keywords: super edge; edge; magic deficiency; edge magic ... See more keywords
Some Results on Super Edge-Magic Deficiency of Graphs
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DOI: 10.46793/kgjmat2002.237i
Abstract: An edge-magic total labeling of a graph G is a bijection f : V (G) ∪ E(G) → {1, 2, . . . , |V (G)| + |E(G)|}, where there exists a constant k such… read more here.
Keywords: magic total; super edge; edge; magic deficiency ... See more keywords