Computations of fractional chromatic numbers this week tell me that for Fullerene Graphs the value is $5/2$. I have computed $100$ of these or more. Is there any theorem that would say this? Any information on formulas for fractional chromatic numbers of families of graphs would be welcome. I am aware that the Kneser graphs $K(a,b)$ have fractional chromatic number $a/b$. For the definition of a Fullerene graph see this MathWorld link.
Fractional chromatic number of fullerenes
7
$\begingroup$
graph-theory
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0If you don't get an answer here, you might try MathOverflow (but be sure to mention at each site that you have posted to the other). – 2011-12-03
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0Are all your fullerenes on 60 vertices? – 2011-12-04
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0The ones I checked are up to 50 vertices. I am told that perhaps things don't get interesting until they are much larger, so maybe there is nothing to this "conjecture" about 5/2. – 2011-12-05
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0Hello Dr. Wagon; I wanted to alert you that there is a proposal for [a new StackExchange site for *Mathematica* questions](http://area51.stackexchange.com/proposals/37304). I was hoping you could maybe add your support to this proposal. Thanks in advance! (I'll delete this message after you've read it.) – 2011-12-20