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
Algebraic Properties of Edge Ideals and Cover Ideals of Unbalanced Crown Graphs
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DOI: 10.1007/s41980-021-00560-4
Abstract: In this paper, we introduce the unbalanced crown graphs $${\mathcal {C}}_{m,n}$$ , and compute all graded Betti numbers of edge ideals of these graphs in terms of associated numerical data. As a consequence, we determine… read more here.
Keywords: edge ideals; crown graphs; algebraic properties; unbalanced crown ... See more keywords