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TIT
2010
107views Education» more  TIT 2010»
13 years 3 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali
EJC
2006
13 years 8 months ago
A note on Ramsey numbers with two parameters
1 The Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices2 either G contains G1 or G contains G2, where G denotes the complement of G. In this...
Yi Ru Huang, Jian Sheng Yang, Kemin Zhang
IWPEC
2009
Springer
14 years 3 months ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 7 months ago
Fractional Repetition Codes for Repair in Distributed Storage Systems
Abstract—We introduce a new class of exact MinimumBandwidth Regenerating (MBR) codes for distributed storage systems, characterized by a low-complexity uncoded repair process tha...
Salim Y. El Rouayheb, Kannan Ramchandran
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
14 years 3 months ago
On the structure of graph edge designs that optimize the algebraic connectivity
— We take a structural approach to the problem of designing the edge weights in an undirected graph subject to an upper bound on their total, so as to maximize the algebraic conn...
Yan Wan, Sandip Roy, Xu Wang, Ali Saberi, Tao Yang...