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JCT
2010
112views more  JCT 2010»
13 years 2 months ago
More on block intersection polynomials and new applications to graphs and block designs
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
Leonard H. Soicher
SODA
2010
ACM
216views Algorithms» more  SODA 2010»
14 years 1 months ago
On linear and semidefinite programming relaxations for hypergraph matching
The hypergraph matching problem is to find a largest collection of disjoint hyperedges in a hypergraph. This is a well-studied problem in combinatorial optimization and graph theo...
Yuk Hei Chan, Lap Chi Lau
ACTA
2007
92views more  ACTA 2007»
13 years 4 months ago
Solving #SAT using vertex covers
Abstract We propose an exact algorithm for counting the models of propositional formulas in conjunctive normal form (CNF). Our algorithm is based on the detection of strong backdoo...
Naomi Nishimura, Prabhakar Ragde, Stefan Szeider
COMBINATORICA
2008
84views more  COMBINATORICA 2008»
13 years 4 months ago
Parity check matrices and product representations of squares
Let NF(n, k, r) denote the maximum number of columns in an n-row matrix with entries in a finite field F in which each column has at most r nonzero entries and every k columns are...
Assaf Naor, Jacques Verstraëte
FOCS
2009
IEEE
13 years 11 months ago
Reducibility among Fractional Stability Problems
— In a landmark paper [32], Papadimitriou introduced a number of syntactic subclasses of TFNP based on proof styles that (unlike TFNP) admit complete problems. A recent series of...
Shiva Kintali, Laura J. Poplawski, Rajmohan Rajara...