Sciweavers

330 search results - page 23 / 66
» Compressing Bounded Degree Graphs
Sort
View
NETWORKS
2008
15 years 3 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...
125
Voted
CORR
2008
Springer
139views Education» more  CORR 2008»
15 years 3 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
54
Voted
CORR
2010
Springer
59views Education» more  CORR 2010»
15 years 3 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 10 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
15 years 1 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...