Title
Bipartite Ramsey numbers of paths for random graphs
Abstract
For graphs G and H, let G→H signify that any red/blue edge coloring of G contains a monochromatic H as a subgraph. Let G(Kk(n),p) be random graph spaces with edge probability p, where Kk(n) is the complete k-partite graph with n vertices in each part. It is shown that if np→∞, then Pr[G(Kk(n),p)→P(k−1−o(1))n]→1 for k=2,3.
Year
DOI
Venue
2019
10.1016/j.dam.2018.06.040
Discrete Applied Mathematics
Keywords
Field
DocType
Ramsey number,Random graph,Sparse regularity lemma
Discrete mathematics,Edge coloring,Graph,Combinatorics,Monochromatic color,Random graph,Vertex (geometry),Bipartite graph,Ramsey's theorem,Mathematics
Journal
Volume
ISSN
Citations 
254
0166-218X
0
PageRank 
References 
Authors
0.34
4
2
Name
Order
Citations
PageRank
Meng Liu13918.70
Yusheng Li2318.30