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20052026
most citedA Model Theory Approach to Structural Limits

18 citations · 30 across the 11 of their papers we have counts for

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14 papers · 1 filter

math.CO2022

A few words about maps

Robert Cori, Yiting Jiang, Patrice Ossona de Mendez +1

In this paper, we survey some properties, encoding, and bijections involving combinatorial maps, double occurrence words, and chord diagrams. We particularly study quasi-trees from…

math.CO2021

Twin-width and generalized coloring numbers

Jan Dreier, Jakub Gajarsky, Yiting Jiang +2

In this paper, we prove that a graph with no -subgraph and twin-width has -admissibility and -coloring numbers bounded from above by an exponential function…

math.CO2021

Füredi-Hajnal and Stanley-Wilf conjectures in higher dimensions

Y. Jang, J. Nesetril, P. Ossona de Mendez

In this paper we discuss analogs of Füredi-Hajnal and Stanley-Wilf conjectures for -dimensional matrices with .

math.CO2021

Twin-width IV: ordered graphs and matrices

Édouard Bonnet, Ugo Giocanti, Patrice Ossona de Mendez +3

We establish a list of characterizations of bounded twin-width for hereditary, totally ordered binary structures. This has several consequences. First, it allows us to show that a…

math.CO2020

Regular partitions of gentle graphs

Yiting Jiang, Jaroslav Nesetril, Patrice Ossona de Mendez +1

Szemeredi's Regularity Lemma is a very useful tool of extremal combinatorics. Recently, several refinements of this seminal result were obtained for special, more structured classe…

math.CO2018

Approximations of Mappings

Jaroslav Nesetril, Patrice Ossona de Mendez

We consider mappings, which are structure consisting of a single function (and possibly some number of unary relations) and address the problem of approximating a continuous mappin…