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arXiv · 1602.03735

Coloring Sums of Extensions of Certain Graphs

Johan Kok·Saptarshi Bej
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Abstract

Recall that the minimum number of colors that allow a proper coloring of graph $G$ is called the chromatic number of $G$ and denoted by $\chi(G).$ In this paper the concepts of $\chi$'-chromatic sum and $\chi^+$-chromatic sum are introduced. The extended graph $G^x$ of a graph $G$ was recently introduced for certain regular graphs. We further the concepts of $\chi$'-chromatic sum and $\chi^+$-chromatic sum to extended paths and cycles. The paper concludes with \emph{patterned structured} graphs.

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Johan Kok, Saptarshi Bej. 2016-02-01. Coloring Sums of Extensions of Certain Graphs. https://arxiv.org/abs/1602.03735

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