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DM
2008
55views more  DM 2008»
13 years 8 months ago
Improved pebbling bounds
Consider a configuration of pebbles distributed on the vertices of a connected graph of order n. A pebbling step consists of removing two pebbles from a given vertex and placing o...
Melody Chan, Anant P. Godbole
COMGEO
2011
ACM
13 years 2 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
CP
2005
Springer
14 years 1 months ago
Graph Invariants as Necessary Conditions for Global Constraints
Abstract. This article presents a database of about 200 graph invariants for deriving systematically necessary conditions from the graph properties based representation of global c...
Nicolas Beldiceanu, Mats Carlsson, Jean-Xavier Ram...
WG
2004
Springer
14 years 1 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano
CCCG
2010
13 years 9 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...