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» On Partitional Labelings of Graphs
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4OR
2007
103views more  4OR 2007»
13 years 10 months ago
Compact linearization for binary quadratic problems
Abstract We show that a well-known linearization technique initially proposed for quadratic assignment problems can be generalized to a broader class of quadratic 0-1 mixed-integer...
Leo Liberti
EJC
2008
13 years 10 months ago
Grad and classes with bounded expansion I. Decompositions
Abstract. We introduce classes of graphs with bounded expansion as a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new ...
Jaroslav Nesetril, Patrice Ossona de Mendez
CPC
2007
61views more  CPC 2007»
13 years 10 months ago
Maximizing Several Cuts Simultaneously
Consider two graphs G1 and G2 on the same vertex set V and suppose that Gi has mi edges. Then there is a bipartition of V into two classes A and B so that for both i = 1, 2 we hav...
Daniela Kühn, Deryk Osthus
JSAT
2006
73views more  JSAT 2006»
13 years 10 months ago
Impurity: Another Phase Transition of SAT
It is well known that satisfiability of random sets of propositional clauses undergoes phase transition while the clause-to-variable ratio of the sets increases. We introduce anot...
Eliezer L. Lozinskii
JCT
2007
107views more  JCT 2007»
13 years 10 months ago
On a conjecture of Wilf
Abstract. Let n and k be natural numbers and let S(n, k) denote the Stirling numbers of the second kind. It is a conjecture of Wilf that the alternating sum nX j=0 (−1)j S(n, j) ...
Stefan De Wannemacker, Thomas Laffey, Robert Osbur...