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CCCG
2004
13 years 10 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
COMBINATORICA
2011
12 years 8 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
BIOINFORMATICS
2008
172views more  BIOINFORMATICS 2008»
13 years 9 months ago
Fitting a geometric graph to a protein-protein interaction network
Motivation: Finding a good network null model for protein-protein interaction (PPI) networks is a fundamental issue. Such a model would provide insights into the interplay between...
Desmond J. Higham, Marija Rasajski, Natasa Przulj
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
14 years 2 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
RSA
2008
103views more  RSA 2008»
13 years 8 months ago
What is the furthest graph from a hereditary property?
For a graph property P, the edit distance of a graph G from P, denoted EP (G), is the minimum number of edge modifications (additions or deletions) one needs to apply to G in orde...
Noga Alon, Uri Stav