Asymptotics of the chromatic number for quasi-line graphs
نویسندگان
چکیده
منابع مشابه
Asymptotics of the chromatic number for quasi-line graphs
As proved by Kahn, the chromatic number and fractional chromatic number of a line graph agree asymptotically. That is, for any line graph G we have χ(G) ≤ (1 + o(1))χf (G). We extend this result to quasi-line graphs, an important subclass of claw-free graphs. Furthermore we prove that we can construct a colouring that achieves this bound in polynomial time, giving us an asymptotic approximation...
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ژورنال
عنوان ژورنال: Electronic Notes in Discrete Mathematics
سال: 2007
ISSN: 1571-0653
DOI: 10.1016/j.endm.2007.07.056