Table of Contents
2021 Session 6 : Positional games on sparse/random graphs
We play positional games on edge sets of graphs, two players alternately claim unclaimed edges of a given graph until all the edges are claimed. There are several variants of positional games:
- In a Maker-Breaker game Maker wants to achieve a graph property (fixed in advance, say “having a triangle”) on the graph she claimed. Breaker wants to prevent her from doing that.
- In an Avoider-Enforcer game, Enforcer wins if Avoider has the property on her graph, and Avoider wins otherwise.
Generally, given a game (i.e. given a base graph, a target graph property, and a variant of positional game) we want to figure out which player has a winning strategy. (It is known that one player must have a winning strategy.)
- If the game is played on a random graph, we study the probability for a player to win.
- Given a graph property, we may ask what's the smallest graph density on which a player can win.
We can choose a more focused topic, depending on the interest. In any case, there is a number of open problems to work on.
13-17 September 2021
- Mirjana Mikalački (organiser), University of Novi Sad
- Miloš Stojaković (organiser), University of Novi Sad
- Grzegorz Adamski, Adam Mickiewicz University Poznan
- Małgorzata Bednarska-Bzdęga, Adam Mickiewicz University Poznan
- Dennis Clemens, TU Hamburg
- Vojtech Dvorak, University of Cambridge, UK
- Asaf Ferber, University of California Irvine
- Jovana Forcan, University of Novi Sad
- Pranshu Gupta, TU Hamburg
- Fabian Hamann, TU Hamburg
- Michael Krivelevich, Tel Aviv University
- Ander Lamaison, Masaryk University in Brno
- Thomas Lesgourges, UNSW Sydney
- Anita Liebenau, UNSW Sydney
- Allan Lo, University of Birmingham, UK
- Tomasz Łuczak, Adam Mickiewicz University Poznan
- Yannick Mogge, TU Hamburg
- Tobias Müller, Groningen University
- Nacim Oijid, LIRIS, Université Lyon 1
- Amedeo Sgueglia, London School of Economics
- Jelena Stratijev, University of Novi Sad
- Tuan Tran, IBS Daejeon Korea
- Marcin Witkowski, Adam Mickiewicz University Poznan
Registration details: closed August 29th.
Submission details: Send them by email to the organizers.
Submission deadline: Friday September 10th, 2021 (AoE)
1. Monday * 10:00 (CET) Miloš Stojaković: Tutorial on Positional Games (The tutorial is meant for those who would like to brush up their knowledge on positional games.) * 14:00 (CET) Open Problem Session 2. Tuesday - Friday * Work in groups.
Zoom link to tutorial: https://us02web.zoom.us/j/85951587794?pwd=WkxQekluNHBmOHlSSllxSVhaRHR2dz09
- Barkey, Clemens, Hamann, Mikalački, Sgueglia. Multistage positional games. https://arxiv.org/abs/2202.04344