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- W2895575170 abstract "In this paper we consider a graph G, a partition P = fV1; V2; : : : ; Vkg of V (G) and the generalized complements GPkand GP k(i) with respect to the partition P. We derive conditions to be satisfied by P so that G commutes with its generalized complements. Apart from the generalcharacterization, we also obtain conditions on P = fV1; V2; : : : ; Vkg so that G commutes with its generalized complements for certain classes of graphs namely complete graphs, cycles and generalized wheels. In the process we obtain a commuting decomposition of regular completek-partite graph Kn1;n2;:::;nk in terms of a Hamiltonian cycle and its kcomplement.We also get a commuting decomposition of a completek-partite graph Kn1;n2;:::;nk in terms of a generalized wheel and its k-complement, where n1; n2; : : : ; nk satisfy some conditions." @default.
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- W2895575170 date "2018-01-01" @default.
- W2895575170 modified "2023-10-05" @default.
- W2895575170 title "Commuting graphs and their generalized complements" @default.
- W2895575170 hasPublicationYear "2018" @default.
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