Title
Average-case complexity of a branch-and-bound algorithm for maximum independent set, under the $\mathcal{G}(n,p)$ random model
Abstract
We study average-case complexity of branch-and-bound for maximum independent set in random graphs under the $\mathcal{G}(n,p)$ distribution. In this model every pair $(u,v)$ of vertices belongs to $E$ with probability $p$ independently on the existence of any other edge. We make a precise case analysis, providing phase transitions between subexponential and exponential complexities depending on the probability $p$ of the random model.
Year
Venue
Field
2015
CoRR
Discrete mathematics,Average-case complexity,Combinatorics,Branch and bound,Random graph,Exponential function,Vertex (geometry),Phase transition,Independent set,Mathematics,Computational complexity theory
DocType
Volume
Citations 
Journal
abs/1505.04969
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Nicolas Bourgeois1997.96
r catellier200.34
t denat300.34
Vangelis Th. Paschos412411.68