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Some Results On Eccentric Coloring In Graphs

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UmaS1, Rajeshwari.M,Prashanth.K.K
» doi: 10.31838/ecb/2023.12.3.069

Abstract

ForagraphG= (V,E),anEccentriccoloringisacolorfunction:V→Nsothat (i) (color(u)=color(v))⇒d(u,v)>color(u),∀u,v∈V (ii) color(v) ≤e(v),∀v∈V. IsEccentriccoloringofagraph.Inthispaper,wehaveattainedtheEccentriccoloringforsomestandardgraphsandwehaveobservedthatonlyforsomespecialclassesofgraphseccentriccoloringisatisfied.TheEccentriccoloringisrestrictedtosomeclassesofgraphs.

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