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» On extremal k-outconnected graphs
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DM
2010
107views more  DM 2010»
13 years 7 months ago
An analytic approach to stability
The stability method is very useful for obtaining exact solutions of many extremal graph problems. Its key step is to establish the stability property which, roughly speaking, sta...
Oleg Pikhurko
RSA
2011
102views more  RSA 2011»
13 years 2 months ago
Dependent random choice
: We describe a simple and yet surprisingly powerful probabilistic technique which shows how to find in a dense graph a large subset of vertices in which all (or almost all) small...
Jacob Fox, Benny Sudakov
WG
2007
Springer
14 years 1 months ago
Pathwidth of Circular-Arc Graphs
The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. Although pathwidth is a well-known and well-studied graph parameter, t...
Karol Suchan, Ioan Todinca
JGT
2010
103views more  JGT 2010»
13 years 5 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino
DM
1999
90views more  DM 1999»
13 years 7 months ago
Induced subgraphs of given sizes
We say (n, e) (m, f), an (m, f) subgraph is forced, if every n-vertex graph of size e has an m-vertex spanned subgraph with f edges. For example, as Tur
Paul Erdös, Zoltán Füredi, Bruce ...