358 research outputs found
Coloring Sums of Extensions of Certain Graphs
Recall that the minimum number of colors that allow a proper coloring of
graph is called the chromatic number of and denoted by In
this paper the concepts of '-chromatic sum and -chromatic sum are
introduced. The extended graph of a graph was recently introduced for
certain regular graphs. We further the concepts of '-chromatic sum and
-chromatic sum to extended paths and cycles. The paper concludes with
\emph{patterned structured} graphs.Comment: 12 page
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