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- W2996587894 abstract "Let H be a group and Y be a non-empty subset of H. The commuting graph Γ=C(H, Y) has Y as the node set, where y1, y2∈Y are adjacent whenever y1 and y2 commute in H. In this paper, we discuss the node connectivity, the edge connectivity, and the planarity of commuting graphs of finite cyclic groups, dihedral and dicyclic groups. We prove that these graphs are not Hamiltonian. By studying the characteristic polynomials, we obtain bounds of the spectral radii of their commuting graphs." @default.
- W2996587894 created "2019-12-26" @default.
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- W2996587894 date "2019-12-09" @default.
- W2996587894 modified "2023-09-27" @default.
- W2996587894 title "The connectivity and the spectral radius of commuting graphs on certain finite groups" @default.
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- W2996587894 doi "https://doi.org/10.1080/03081087.2019.1700893" @default.
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