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» A graph polynomial for independent sets of bipartite graphs
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STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 1 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
CISIS
2008
IEEE
14 years 11 months ago
Simplified Bluetooth Scatternet Formation Using Maximal Independent Sets
Bluetooth standard allows the creation of piconets, with one node serving as its master and up to seven nodes serving as slaves. A Bluetooth ad hoc network can also be formed by in...
Nejib Zaguia, Ivan Stojmenovic, Yassine Daadaa
OL
2011
242views Neural Networks» more  OL 2011»
14 years 4 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...
DAM
2007
107views more  DAM 2007»
14 years 9 months ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
GC
2008
Springer
14 years 9 months ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati