10.9k citations
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4 papers · 2 filters
Inhomogeneous order 1 iterative functional equations with applications to combinatorics
Lucia Di Vizio, Gwladys Fernandes, Marni Mishna
We show that if a Laurent series satisfies a particular kind of linear iterative equation, then is either a rational function or it is differentially tran…
Balanced-chromatic number and Hadwiger-like conjectures
Andrea Jiménez, Jessica McDonald, Reza Naserasr +2
Motivated by different characterizations of planar graphs and the 4-Color Theorem, several structural results concerning graphs of high chromatic number have been obtained. Toward…
Catching a robber on a random -uniform hypergraph
Joshua Erde, Mihyun Kang, Florian Lehner +2
The game of \emph{Cops and Robber} is usually played on a graph, where a group of cops attempt to catch a robber moving along the edges of the graph. The \emph{cop number} of a gra…
Moments of Colored Permutation Statistics on Conjugacy Classes
Jesse Campion Loth, Michael Levet, Kevin Liu +2
In this paper, we consider the moments of statistics on conjugacy classes of the colored permutation groups . We first show that…