Title
Maximum Sparse Induced Subgraphs Of The Binomial Random Graph With Given Number Of Edges
Abstract
We prove that a.a.s. the maximum size of an induced subtree of the binomial random graph G(n, p) is concentrated in 2 consecutive points. We also prove that, given a non negative integer-valued function t(k) < epsilon k(2), under a certain smoothness condition on this function, a.a.s. the maximum size k of an induced subgraph with exactly t(k) edges of G(n, p) is concentrated in 2 consecutive points as well. (c) 2020 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.disc.2020.112205
DISCRETE MATHEMATICS
Keywords
DocType
Volume
Random graph, Maximum induced subgraphs, Maximum induced tree
Journal
344
Issue
ISSN
Citations 
2
0012-365X
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Kamaldinov Dmitry100.34
Skorkin Arkadiy200.34
Maksim Zhukovskii324.51