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- W2810977147 abstract "With respect to a proper colouring of a graph $G$, we know that $delta(G) leq chi(G) leq Delta(G)+1$. If distinct colours represent distinct technology types to be located at vertices the question arises on how to place at least one of each of $k$, $1leq k < chi(G)$ technology types together with the minimum adjacency between similar technology types. In an improper colouring an edge $uv$ such that $c(u)=c(v)$ is called a bad edge. In this paper, we introduce the notion of $delta^{(k)}$-colouring which is a near proper colouring of $G$ with exactly $1leq k < chi(G)$ distinct colours which minimizes the number of bad edges." @default.
- W2810977147 created "2018-07-10" @default.
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- W2810977147 date "2018-07-05" @default.
- W2810977147 modified "2023-09-27" @default.
- W2810977147 title "$delta^{(k)}$-Colouring of Cycle Related Graphs" @default.
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- W2810977147 hasPublicationYear "2018" @default.
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