Title
Picker–Chooser fixed graph games
Abstract
Given a fixed graph H and a positive integer n, a Picker–Chooser H-game is a biased game played on the edge set of Kn in which Picker is trying to force many copies of H and Chooser is trying to prevent him from doing so. In this paper we conjecture that the value of the game is roughly the same as the expected number of copies of H in the random graph G(n,p) and prove our conjecture for special classes of graphs H such as complete graphs and trees.
Year
DOI
Venue
2016
10.1016/j.jctb.2015.12.008
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Positional games,Probabilistic intuition,Random graphs,Threshold function,Counting subgraphs,Talagrand's inequality
Random regular graph,Discrete mathematics,Combinatorics,Line graph,Forbidden graph characterization,Graph product,Symmetric graph,Pathwidth,Universal graph,Mathematics,Graph coloring
Journal
Volume
Issue
ISSN
119
C
0095-8956
Citations 
PageRank 
References 
2
0.41
9
Authors
3
Name
Order
Citations
PageRank
malgorzata bednarskabzdȩga120.41
dan hefetz220729.41
Tomasz Łuczak322540.26