Fractional Chromatic Numbers of Two-Class Gear Graphs

Yong Hui Fang · Journal of Qingdao Technological University · 2011

The fractional coloring is raised based on the ordinary coloring and it expands the research field of the graph coloring so as to better study the structures of graphs.This paper mainly studies the fractional chromatic numbers,fractional incidence chromatic numbers and fractional total chromatic numbers of gear star graphs and gear windmill graphs,and presents the formulas to compute them.Furthermore,the formulas have also been proved in the paper.

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