Title
Random subcube intersection graphs I: cliques and covering
Abstract
We study random subcube intersection graphs, that is, graphs obtained by selecting a random collection of subcubes of a fixed hypercube Q(d) to serve as the vertices of the graph, and setting an edge between a pair of subcubes if their intersection is non-empty. Our motivation for considering such graphs is to model 'random compatibility' between vertices in a large network. For both of the models considered in this paper, we determine the thresholds for covering the underlying hypercube Q(d) and for the appearance of s-cliques. In addition we pose a number of open problems.
Year
Venue
Field
2016
ELECTRONIC JOURNAL OF COMBINATORICS
Random regular graph,Discrete mathematics,Indifference graph,Combinatorics,Random graph,Chordal graph,Clique-sum,Pathwidth,Intersection number (graph theory),Mathematics,Trapezoid graph
DocType
Volume
Issue
Journal
23
3
ISSN
Citations 
PageRank 
1077-8926
0
0.34
References 
Authors
13
2
Name
Order
Citations
PageRank
Victor Falgas-Ravry1287.46
Klas Markström216225.84