International Journal For Multidisciplinary Research

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Johan Coloring of Neighbourhood Corona of Graphs

Author(s) S.Florence Poornima, A. Arokia Lancy
Country India
Abstract Johan coloring or J-Coloring is the proper vertex coloring in which every vertices of a graph should belongs to rainbow neighbourhood . In a given graph G, a vertex v is said to be rainbow neighbourhood if every color class of G consists of atleast of one vertex of G from the closed neighbourhood. The Neighbourhood Corona is obtained by taking one copy of G1 and n1 copies of G2 and by joining each neighbour ith copy of G1 to each and every vertex of ith copy of G2. In this paper we determine Johan Chromatic number of Neighbourhood Coronna of Graphs.
Keywords Neighbourhood Corona, Johan Coloring, Johan Chromatic Number.
Field Mathematics
Published In Volume 7, Issue 1, January-February 2025
Published On 2025-01-04
DOI https://doi.org/10.36948/ijfmr.2025.v07i01.34254
Short DOI https://doi.org/g82hj2
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