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DM
2008
55views more  DM 2008»
14 years 9 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
14 years 4 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
15 years 3 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
15 years 3 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
14 years 11 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 ...