Title
Invariant Gaussian processes and independent sets on regular graphs of large girth
Abstract
We prove that every 3-regular, n-vertex simple graph with sufficiently large girth contains an independent set of size at least 0.4361n. The best known bound is 0.4352n. In fact, computer simulation suggests that the bound our method provides is about 0.438n.
Year
DOI
Venue
2015
10.1002/rsa.20547
Random Structures & Algorithms
Keywords
Field
DocType
independent set,independence ratio,regular graph,large girth,random regular graph,regular tree,factor of i.i.d.,invariant Gaussian process
Odd graph,Discrete mathematics,Combinatorics,Strongly regular graph,Moore graph,k-edge-connected graph,Foster graph,Independent set,Symmetric graph,Triangle-free graph,Mathematics
Journal
Volume
Issue
ISSN
47
2
Random Structures & Algorithms Volume 47, Issue 2, pages 284-303, 2015
Citations 
PageRank 
References 
8
0.65
6
Authors
4
Name
Order
Citations
PageRank
Endre Csóka1446.42
Balazs Gerencser2307.69
Viktor Harangi3102.53
Bálint Virág4221.63