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» The upper bound on k-tuple domination numbers of graphs
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IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
14 years 1 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
TIT
2010
107views Education» more  TIT 2010»
13 years 2 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
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
14 years 1 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
STOC
1997
ACM
76views Algorithms» more  STOC 1997»
13 years 11 months ago
Exploring Unknown Environments
We consider exploration problems where a robot has to construct a complete map of an unknown environment. We assume that the environment is modeled by a directed, strongly connecte...
Susanne Albers, Monika Rauch Henzinger
CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
11 years 9 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