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math.CO2012
Positive graphs
Omar Antolín Camarena, Endre Csóka, Tamás Hubai +2
We study "positive" graphs that have a nonnegative homomorphism number into every edge-weighted graph (where the edgeweights may be negative). We conjecture that all positive graph…
math.CO2012★ 2 cited
Benjamini-Schramm convergence and the distribution of chromatic roots for sparse graphs
Miklós Abért, Tamás Hubai
We define the chromatic measure of a finite simple graph as the uniform distribution on its chromatic roots. We show that for a Benjamini-Schramm convergent sequence of finite grap…