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COMBINATORICS
2006
135views more  COMBINATORICS 2006»
13 years 8 months ago
Drawing a Graph in a Hypercube
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
David R. Wood
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 7 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...
IM
2007
13 years 8 months ago
Infinite Limits and Adjacency Properties of a Generalized Copying Model
We present a new model for self-organizing networks such as the web graph, and analyze its limit behaviour. In the model, new vertices are introduced over time that copy the neighb...
Anthony Bonato, Jeannette C. M. Janssen
CORR
2008
Springer
139views Education» more  CORR 2008»
13 years 9 months ago
The Secrecy Graph and Some of its Properties
A new random geometric graph model, the so-called secrecy graph, is introduced and studied. The graph represents a wireless network and includes only edges over which secure commun...
Martin Haenggi
GD
2004
Springer
14 years 2 months ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos