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» Connectivity of Graphs Under Edge Flips
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CORR
2008
Springer
139views Education» more  CORR 2008»
14 years 11 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
TVCG
2008
121views more  TVCG 2008»
14 years 11 months ago
On the Visualization of Social and other Scale-Free Networks
This paper proposes novel methods for visualizing specifically the large power-law graphs that arise in sociology and the sciences. In such cases a large portion of edges can be sh...
Yuntao Jia, Jared Hoberock, Michael Garland, John ...
GD
2007
Springer
15 years 5 months ago
Line Crossing Minimization on Metro Maps
We consider the problem of drawing a set of simple paths along the edges of an embedded underlying graph G = (V, E), so that the total number of crossings among pairs of paths is m...
Michael A. Bekos, Michael Kaufmann, Katerina Potik...
80
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JCO
2006
128views more  JCO 2006»
14 years 11 months ago
A combinatorial theorem on labeling squares with points and its application
In this paper, we present a combinatorial theorem on labeling disjoint axis-parallel squares of edge length two using points. Given an arbitrary set of disjoint axis-parallel squar...
Binhai Zhu, Minghui Jiang
COMBINATORICA
2007
148views more  COMBINATORICA 2007»
14 years 11 months ago
Colored graphs without colorful cycles
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that ...
Richard N. Ball, Ales Pultr, Petr Vojtechovsk&yacu...