On d -distance equitable chromatic number of some graphs

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An assignment of distinct colors {1, 2, 3,⋯,k} to the vertices u and v of a graph G(V,E) such that the distance between u and v is at most d is called d-distance coloring of G. Suppose C1,C2,⋯,Ck are the color classes of d-distance coloring and ||Ci|-|Cj||≤ 1 for any 1 ≤ i,j ≤ k, then G is d-distance equitable colored graph. In this paper, we obtain d-distance chromatic number and d-distance equitable chromatic number of graphs like Pm-G, Pm¯ G, Pm Pn and Pm Pn.

Original languageEnglish
Article number2250075
JournalAsian-European Journal of Mathematics
Issue number4
Publication statusPublished - 01-04-2022

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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