Building Spanning Trees Quickly in Maker-Breaker Games

For a tree T on n vertices, we study the Maker-Breaker game, played on the edge set of the complete graph on n vertices, which Maker wins as soon as the graph she builds contains a copy of T. We prove that if T has bounded maximum degree and $n$ is sufficiently large, then Maker can win this game wi...

Full description

Bibliographic Details
Main Authors: Clemens, Dennis, Ferber, Asaf, Glebov, Roman, Hefetz, Dan, Liebenau, Anita
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2015
Online Access:http://hdl.handle.net/1721.1/100546