Cookies?
Library Header Image
LSE Research Online LSE Library Services

On the odd cycle game and connected rules

Corsten, Jan, Mond, Adva, Pokrovskiy, Alexey, Spiegel, Christoph and Szabó, Tibor (2020) On the odd cycle game and connected rules. European Journal of Combinatorics, 89. ISSN 0195-6698

[img] Text (On the odd cycle game and connected rules) - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (370kB)

Identification Number: 10.1016/j.ejc.2020.103140

Abstract

We study the positional game where two players, Maker and Breaker, alternately select respectively 1 and b previously unclaimed edges of Kn. Maker wins if she succeeds in claiming all edges of some odd cycle in Kn and Breaker wins otherwise. Improving on a result of Bednarska and Pikhurko, we show that Maker wins the odd cycle game if b≤((4−6)∕5+o(1))n. We furthermore introduce “connected rules” and study the odd cycle game under them, both in the Maker–Breaker as well as in the Client–Waiter variant.

Item Type: Article
Official URL: https://www.sciencedirect.com/journal/european-jou...
Additional Information: © 2020 Elsevier Ltd
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 08 Jul 2020 09:57
Last Modified: 06 Oct 2021 12:21
URI: http://eprints.lse.ac.uk/id/eprint/105568

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics