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ANOR
2005
160views more  ANOR 2005»
13 years 6 months ago
Packing r-Cliques in Weighted Chordal Graphs
In Hell et al. (2004), we have previously observed that, in a chordal graph G, the maximum number of independent r-cliques (i.e., of vertex disjoint subgraphs of G, each isomorphic...
Pavol Hell, Sulamita Klein, Loana Tito Nogueira, F...
GC
2007
Springer
13 years 6 months ago
Local Topological Toughness and Local Factors
We localize and strengthen Katona’s idea of an edge-toughness to a local topological toughness. We disprove a conjecture of Katona concerning the connection between edgetoughnes...
Frank Göring, Gyula Y. Katona
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
13 years 10 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
STOC
2005
ACM
147views Algorithms» more  STOC 2005»
14 years 6 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...
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
13 years 11 months ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...