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arXiv · 1511.09429

Chromatic roots and limits of dense graphs

Abstract

In this short note we observe that recent results of Abert and Hubai and of Csikvari and Frenkel about Benjamini--Schramm continuity of the holomorphic moments of the roots of the chromatic polynomial extend to the theory of dense graph sequences. We offer a number of problems and conjectures motivated by this observation.

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Peter Csikvari, Peter E. Frenkel, Jan Hladky, Tamas Hubai. 2016-11-04. Chromatic roots and limits of dense graphs. https://doi.org/10.1016/j.disc.2016.11.009

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