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COMBINATORICA
2007
81views more  COMBINATORICA 2007»
13 years 8 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
JCT
2007
117views more  JCT 2007»
13 years 8 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
ARSCOM
2004
86views more  ARSCOM 2004»
13 years 8 months ago
New Conditions for k-ordered Hamiltonian Graphs
We show that in any graph G on n vertices with d(x) + d(y) n for any two nonadjacent vertices x and y, we can fix the order of k vertices on a given cycle and find a hamiltonian c...
Guantao Chen, Ronald J. Gould, Florian Pfender
JGT
2010
91views more  JGT 2010»
13 years 6 months ago
Choosability of toroidal graphs without short cycles
: Let G be a toroidal graph without cycles of a fixed length k, and l(G) the list chromatic number of G. We establish tight upper bounds Contract grant sponsor: RGC; Contract grant...
Leizhen Cai, Weifan Wang, Xuding Zhu
EPEW
2010
Springer
13 years 8 months ago
Accurate Performance Estimation for Stochastic Marked Graphs by Bottleneck Regrowing
Abstract. The adequate system performance is usually a critical requirement to be checked during the verification phase of a system. Thus, accurately measuring the performance of c...
Ricardo J. Rodríguez, Jorge Júlvez