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    Title      l  Injective chromatic number and chromatic number of the square of graphs
    Author   l  Seog-Jin Kim, Sang-il Oum
    Date   l  2009-09-21
    Category   l  ASARC-Preprint-09-26
    Download    l 1253493328_0.497224.pdf  
Abstract: The injective chromatic number of a graph G is the minimum number
of colors needed in order to color vertices of G so that two vertices
with a common neighbor receive distinct colors. We prove that the
injective chromatic number of G is at least the half of the chromatic
number of G2, the square of G. This inequality is tight.

Keyword

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