A Note on Chromatic Sum

Details A Note on Chromatic Sum A Note on Chromatic Sum

2008-02-13

arxiv.org/abs/0802.1936v2

Mathematics

Combinatorics

Scientific paper

The chromatic sum $\Sigma(G)$ of a graph $G$ is the smallest sum of colors
among of proper coloring with the natural number. In this paper, we introduce a
necessary condition for the existence of graph homomorphisms. Also, we present
$\Sigma(G)<\chi_f(G)|G|$ for every graph $G$.

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