On the Commuting Graph of Semidihedral Group

نویسندگان

چکیده

The commuting graph $$\varDelta (G)$$ of a finite non-abelian group G is simple with vertex set G, and two distinct vertices x, y are adjacent if $$xy = yx$$ . In this paper, first we discuss some properties We determine the edge connectivity minimum degree prove that both equal. Then, other invariants, namely: matching number, clique boundary vertex, studied. Also, give necessary sufficient condition on such interior center Further, investigate semidihedral $$SD_{8n}$$ connection, various invariants (SD_{8n})$$ including connectivity, independence number detour properties. also obtain Laplacian spectrum, metric dimension resolving polynomial

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ژورنال

عنوان ژورنال: Bulletin of the Malaysian Mathematical Sciences Society

سال: 2021

ISSN: ['2180-4206', '0126-6705']

DOI: https://doi.org/10.1007/s40840-021-01111-0