Titlebook: Extended Abstracts EuroComb 2021; European Conference Jaroslav Nešetřil,Guillem Perarnau,Oriol Serra Conference proceedings 2021 The Edito

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https://doi.org/10.1007/978-3-658-05438-0.. The key to the result is an inductive construction of a family of 13-crossing-critical graphs with many vertices of arbitrarily high degrees. While the inductive part of the construction is rather easy, it all relies on the fact that a certain 17-vertex base graph has the crossing number 13, whic

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https://doi.org/10.1007/978-3-8349-6187-7lish a novel uniform infinite planar graph (UIPG) as quenched limit in the local topology as . tends to infinity. We also establish such limits for random 2-connected planar graphs and maps as their number of edges tends to infinity. Our approach encompasses a new probabilistic view on the Tutte dec

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,Immergrüner Wandel – Ein Ausblick, that .. Recently, by relating this problem to a topological game, the authors, together with Bowler and Pitz, gave the current best known bound that .. Combining some of these ideas with some techniques introduced by Schröder we improve this bound and show that ..

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