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» Bounds on the k-domination number of a graph
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CCCG
1997
15 years 3 months ago
On the number of internal and external visibility edges of polygons
In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Jorge Urrutia
CORR
2012
Springer
230views Education» more  CORR 2012»
13 years 9 months ago
Fast Triangle Counting through Wedge Sampling
Graphs and networks are used to model interactions in a variety of contexts, and there is a growing need to be able to quickly assess the qualities of a graph in order to understa...
C. Seshadhri, Ali Pinar, Tamara G. Kolda
JGT
2008
91views more  JGT 2008»
15 years 1 months ago
On the editing distance of graphs
An edge-operation on a graph G is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs G, the editing distance fro...
Maria Axenovich, André E. Kézdy, Rya...
CCCG
2010
15 years 3 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 ...
DM
2007
142views more  DM 2007»
15 years 1 months ago
Dominating direct products of graphs
An upper bound for the domination number of the direct product of graphs is proved. It in particular implies that for any graphs G and H, γ(G × H) ≤ 3γ(G)γ(H). Graphs with a...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall