Sufficient Conditions for Graphs to Be k -Connected, Maximally Connected, and Super-Connected
نویسندگان
چکیده
Let G be a connected graph with minimum degree id="M3"> δ and vertex-connectivity id="M4"> κ . The id="M5"> is id="M6"> k -connected if id="M7"> ≥ , maximally id="M8"> = super-connected every vertex-cut isolates vertex of degree. In this paper, we present sufficient conditions for given to id="M9"> -connected, connected, or in terms the number edges, spectral radius graph, its complement, respectively. Analogous results triangle-free graphs id="M10"> are also presented.
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ژورنال
عنوان ژورنال: Complexity
سال: 2021
ISSN: ['1099-0526', '1076-2787']
DOI: https://doi.org/10.1155/2021/5588146