English

A Note on Chromatic Sum

Combinatorics 2009-01-24 v2

Abstract

The chromatic sum Σ(G)\Sigma(G) of a graph GG 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 Σ(G)<χf(G)G\Sigma(G)<\chi_f(G)|G| for every graph GG.

Keywords

Cite

@article{arxiv.0802.1936,
  title  = {A Note on Chromatic Sum},
  author = {Meysam Alishahi and Ali Taherkhani},
  journal= {arXiv preprint arXiv:0802.1936},
  year   = {2009}
}
R2 v1 2026-06-21T10:12:27.073Z