Title
Joints in graphs
Abstract
In 1969 Erdos proved that if r>=2 and n>n"0(r), every graph G of order n and e(G)>t"r(n) has an edge that is contained in at least n^r^-^1/(10r)^6^r cliques of order (r+1). In this note we improve this bound to n^r^-^1/r^r^+^5. We also prove a corresponding stability result.
Year
DOI
Venue
2008
10.1016/j.disc.2007.03.045
Discrete Mathematics
Keywords
Field
DocType
extremal graph,jointsize,book,joint,stability,clique,lower bound
Discrete mathematics,Graph,Combinatorics,Clique,Numerical stability,Mathematics
Journal
Volume
Issue
ISSN
308
1
Discrete Mathematics
Citations 
PageRank 
References 
7
1.06
1
Authors
2
Name
Order
Citations
PageRank
Béla Bollobás12696474.16
Vladimir Nikiforov212420.26