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
Strong Geodetic Number of Complete Bipartite Graphs, Crown Graphs and Hypercubes
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DOI: 10.1007/s40840-019-00833-6
Abstract: The strong geodetic number, $$\text {sg}(G),$$ sg ( G ) , of a graph G is the smallest number of vertices such that by fixing a suitable geodesic between each pair of selected vertices, all… read more here.
Keywords: strong geodetic; number; complete bipartite; number complete ... See more keywords
Local equivalence of complete bipartite and repeater graph states
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DOI: 10.1103/physreva.98.032305
Abstract: Classifying locally equivalent graph states, and stabilizer states more broadly, is a significant problem in the theories of quantum information and multipartite entanglement. A special focus is given to those graph states for which equivalence… read more here.
Keywords: graph states; graph; complete bipartite; local equivalence ... See more keywords