57 citations · 159 across the 18 of their papers we have counts for
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Convergence of graphs with intermediate density
Péter E. Frenkel
We propose a notion of graph convergence that interpolates between the Benjamini--Schramm convergence of bounded degree graphs and the dense graph convergence developed by László L…
Chromatic roots and limits of dense graphs
Peter Csikvari, Peter E. Frenkel, Jan Hladky +1
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…
Matchings in Benjamini-Schramm convergent graph sequences
Miklos Abért, Péter Csikvári, Péter Frenkel +1
We introduce the matching measure of a finite graph as the uniform distribution on the roots of the matching polynomial of the graph. We analyze the asymptotic behavior of the matc…
Benjamini--Schramm continuity of root moments of graph polynomials
Péter Csikvári, Péter E. Frenkel
Recently, M.\ Abért and T.\ Hubai studied the following problem. The chromatic measure of a finite simple graph is defined to be the uniform distribution on its chromatic roots. Ab…