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» Compressing Bounded Degree Graphs
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NETWORKS
2008
14 years 9 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...
CORR
2008
Springer
139views Education» more  CORR 2008»
14 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
CORR
2010
Springer
59views Education» more  CORR 2010»
14 years 9 months ago
Edge Growth in Graph Cubes
We show that for every connected graph G of diameter 3, the graph G3 has average degree 7 4 (G). We also provide an example showing that this bound is best possible. This resolv...
Matt DeVos, Stéphan Thomassé
SIAMDM
2010
110views more  SIAMDM 2010»
14 years 4 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
IMC
2010
ACM
14 years 7 months ago
On the impact of layer-2 on node degree distribution
The Internet topology data collected through traceroute exploration has been extensively studied in the past. In particular, a remarkable property of the Internet, the power-law s...
Pascal Mérindol, Benoit Donnet, Olivier Bon...