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» Z3-Connectivity with Independent Number 2
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GC
2011
Springer
13 years 3 months ago
Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs
The Ramsey number r(H, Kn) is the smallest positive integer N such that every graph of order N contains either a copy of H or an independent set of size n. The Tur´an number ex(m,...
Tao Jiang, Michael Salerno
JGT
2010
103views more  JGT 2010»
13 years 7 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
JGT
2007
85views more  JGT 2007»
13 years 8 months ago
On graphs with subgraphs having large independence numbers
: Let G be a graph on n vertices in which every induced subgraph on s = log3 n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that ever...
Noga Alon, Benny Sudakov
SPAA
2003
ACM
14 years 1 months ago
Compact routing with name independence
This paper is concerned with compact routing schemes for arbitrary undirected networks in the name-independent model first introduced by Awerbuch, Bar-Noy, Linial and Peleg. A co...
Marta Arias, Lenore Cowen, Kofi A. Laing, Rajmohan...
JGT
2010
158views more  JGT 2010»
13 years 7 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran