Sciweavers

1729 search results - page 152 / 346
» On Bounds for the k-Partitioning of Graphs
Sort
View
COCOON
2006
Springer
15 years 10 months ago
Characterizations and Linear Time Recognition of Helly Circular-Arc Graphs
Abstract. A circular-arc model (C, A) is a circle C together with a collection A of arcs of C. If A satisfies the Helly Property then (C, A) is a Helly circular-arc model. A (Helly...
Min Chih Lin, Jayme Luiz Szwarcfiter
COMBINATORICA
2008
112views more  COMBINATORICA 2008»
15 years 6 months ago
On the rigidity of molecular graphs
The rigidity of squares of graphs in three-space has important applications to the study of flexibility in molecules. The Molecular Conjecture, posed in 1984 by T-S. Tay and W. Wh...
Bill Jackson, Tibor Jordán
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
15 years 6 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»
15 years 6 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»
15 years 6 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