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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...
TCS
2008
15 years 3 months ago
Digraph measures: Kelly decompositions, games, and orderings
We consider various well-known, equivalent complexity measures for graphs such as elimination orderings, k-trees and cops and robber games and study their natural translations to ...
Paul Hunter, Stephan Kreutzer
DM
2002
86views more  DM 2002»
15 years 3 months ago
A chip-firing game and Dirichlet eigenvalues
We consider a variation of the chip-firing game in a induced subgraph S of a graph G. Starting from a given chip configuration, if a vertex v has at least as many chips as its deg...
Fan R. K. Chung, Robert B. Ellis
CORR
2010
Springer
114views Education» more  CORR 2010»
15 years 1 months ago
On weakly optimal partitions in modular networks
Abstract. Modularity was introduced as a measure of goodness for the community structure induced by a partition of the set of vertices in a graph. Then, it also became an objective...
José Ignacio Alvarez-Hamelin, Beiró ...
ICALP
2011
Springer
14 years 6 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli