Binomial edge ideals of crown graphs
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DOI: 10.1007/s10801-025-01464-w
Abstract: In this article, we explore the class of graphs for which the projective dimension of the quotient of the binomial edge ideals matches the big height of that ideal. Additionally, we investigate the Vasconcelos number… read more here.
Keywords: edge ideals; crown graphs; binomial edge; ideals crown ... 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
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