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» A class of combinatorial identities
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JCT
2007
90views more  JCT 2007»
14 years 9 months ago
Overpartitions, lattice paths, and Rogers-Ramanujan identities
We define the notions of successive ranks and generalized Durfee squares for overpartitions. We show how these combinatorial statistics give extensions to overpartitions of combin...
Sylvie Corteel, Olivier Mallet
COMBINATORICS
2007
67views more  COMBINATORICS 2007»
14 years 9 months ago
Non-Commutative Sylvester's Determinantal Identity
Sylvester’s identity is a classical determinantal identity with a straightforward linear algebra proof. We present combinatorial proofs of several non-commutative extensions, an...
Matjaz Konvalinka
LACL
2005
Springer
15 years 3 months ago
Learnable Classes of General Combinatory Grammars
Abstract. Kanazawa has shown that k-valued classical categorial grammars have the property of finite elasticity [1], which is a sufficient condition for learnability. He has also ...
Erwan Moreau
SODA
2008
ACM
71views Algorithms» more  SODA 2008»
14 years 11 months ago
Two-phase greedy algorithms for some classes of combinatorial linear programs
We present greedy algorithms for some classes of combinatorial packing and cover problems within the general formal framework of Hoffman and Schwartz' lattice polyhedra. Our ...
Ulrich Faigle, Britta Peis
EXPCS
2007
15 years 1 months ago
Performance testing of combinatorial solvers with isomorph class instances
Combinatorial optimization problems expressed as Boolean constraint satisfaction problems (BCSPs) arise in several contexts, ranging from the classical unate set-packing problems ...
Franc Brglez, Jason A. Osborne