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» Independence in Direct-Product Graphs
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126
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JGT
2007
85views more  JGT 2007»
15 years 3 months ago
On graphs with subgraphs having large independence numbers
: Let G be a graph on n vertices in which every induced subgraph on s = log3 n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that ever...
Noga Alon, Benny Sudakov
145
Voted
AIPS
2000
15 years 5 months ago
New Advances in GraphHTN: Identifying Independent Subproblems in Large HTN Domains
We describe in this paper a new method for extracting knowledge on Hierarchical Task-Network (HTN) planning problems for speeding up the search. This knowledge is gathered by prop...
Amnon Lotem, Dana S. Nau
126
Voted
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 10 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
131
Voted
STOC
2005
ACM
147views Algorithms» more  STOC 2005»
16 years 3 months ago
Simulating independence: new constructions of condensers, ramsey graphs, dispersers, and extractors
We present new explicit constructions of deterministic randomness extractors, dispersers and related objects. We say that a distribution X on binary strings of length n is a -sour...
Boaz Barak, Guy Kindler, Ronen Shaltiel, Benny Sud...
125
Voted
CPC
2007
105views more  CPC 2007»
15 years 3 months ago
Packing Cliques in Graphs with Independence Number 2
Let G be a graph with no three independent vertices. How many edges of G can be packed with edge-disjoint copies of Kk? More specifically, let fk(n, m) be the largest integer t s...
Raphael Yuster