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- W4306160633 abstract "Let G be a graph, and the number of components of G is denoted by c ( G ). Let t be a positive real number. A connected graph G is t -tough if tc ( G − S ) ≤ | S | for every vertex cut S of V ( G ). The toughness of G is the largest value of t for which G is t -tough, denoted by τ( G ). We call a graph G Hamiltonian if it has a cycle that contains all vertices of G . Chvátal and other scholars investigate the relationship between toughness conditions and the existence of cyclic structures. In this paper, we establish some sufficient conditions that a graph with toughness is Hamiltonian based on the number of edges, spectral radius, and signless Laplacian spectral radius of the graph. MR subject classifications: 05C50, 15A18." @default.
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- W4306160633 date "2022-10-14" @default.
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- W4306160633 title "Some sufficient conditions on hamilton graphs with toughness" @default.
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- W4306160633 doi "https://doi.org/10.3389/fncom.2022.1019039" @default.
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