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CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
11 years 10 months ago
Secret Sharing Schemes for Very Dense Graphs
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can reconstruct the secret while every independent set in the graph does not get any informatio...
Amos Beimel, Oriol Farràs, Yuval Mintz
FOCS
2003
IEEE
14 years 27 days ago
Switch Scheduling via Randomized Edge Coloring
The essence of an Internet router is an n ¡ n switch which routes packets from input to output ports. Such a switch can be viewed as a bipartite graph with the input and output p...
Gagan Aggarwal, Rajeev Motwani, Devavrat Shah, An ...
ESA
2008
Springer
142views Algorithms» more  ESA 2008»
13 years 9 months ago
Edge Coloring and Decompositions of Weighted Graphs
We consider two generalizations of the edge coloring problem in bipartite graphs. The first problem we consider is the weighted bipartite edge coloring problem where we are given a...
Uriel Feige, Mohit Singh
DM
2007
136views more  DM 2007»
13 years 7 months ago
Lower connectivities of regular graphs with small diameter
Krishnamoorthy, Thulasiraman and Swamy [Minimum order graphs with specified diameter, connectivity and regularity, Networks 19 (1989) 25–46] showed that a δ-regular graph with...
Camino Balbuena, Xavier Marcote
SIAMDM
2010
89views more  SIAMDM 2010»
13 years 2 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang