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» Bounds on the k-domination number of a graph
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DM
2008
88views more  DM 2008»
15 years 2 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Tobias Müller, Attila Pór, Jean-S&eacu...
TIT
2010
107views Education» more  TIT 2010»
14 years 8 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
COMBINATORICS
1998
99views more  COMBINATORICS 1998»
15 years 1 months ago
Constructions for Cubic Graphs with Large Girth
The aim of this paper is to give a coherent account of the problem of constructing cubic graphs with large girth. There is a well-defined integer µ0(g), the smallest number of v...
Norman Biggs
INFOCOM
2012
IEEE
13 years 4 months ago
Sparse recovery with graph constraints: Fundamental limits and measurement construction
—This paper addresses the problem of sparse recovery with graph constraints in the sense that we can take additive measurements over nodes only if they induce a connected subgrap...
Meng Wang, Weiyu Xu, Enrique Mallada, Ao Tang
PVLDB
2010
129views more  PVLDB 2010»
15 years 10 days ago
Graph Pattern Matching: From Intractable to Polynomial Time
Graph pattern matching is typically defined in terms of subgraph isomorphism, which makes it an np-complete problem. Moreover, it requires bijective functions, which are often to...
Wenfei Fan, Jianzhong Li, Shuai Ma, Nan Tang, Ying...