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- W3197525543 abstract "The eccentricity e(u) of a vertex u is the maximum distance of u to any other vertex of G. A vertex v is an eccentric vertex of vertex u if the distance from u to v is equal to e(u). An eccentric coloring of a graph G=(V,E) is a function color: V(to)N such that (i) for all u,v (epsilon) V,(color(u)=color(v)) (Rightarrow) d(u,v)>color(u).(ii) for all v (epsilon) V,color(v) (le) e(v). The eccentric chromatic number Xe (epsilon) N for a graph G is the lowest number of colors for which it is possible to eccentrically color G by colors: V (to) {1,2,…,Xe }. In this paper, we have considered eccentric colorability of a graph in relation to other properties. we have considered simple undirected graphs without multiple edges and self loops. Also, we have considered the eccentric colorability of lexicographic product of some special class of graphs." @default.
- W3197525543 created "2021-09-13" @default.
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- W3197525543 date "2021-08-27" @default.
- W3197525543 modified "2023-09-26" @default.
- W3197525543 title "Study on Eccentric Coloring of a Graph" @default.
- W3197525543 doi "https://doi.org/10.9734/bpi/ctmcs/v9/8557d" @default.
- W3197525543 hasPublicationYear "2021" @default.
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