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EJC
2006
13 years 4 months ago
Product representations of polynomials
For a fixed polyomial f Z[X], let k(N) denote the maximum size of a set A {1, 2, . . . , N} such that no product of k distinct elements of A is in the value set of f. In this pap...
Jacques Verstraëte
EJC
2006
13 years 4 months ago
Matroid tree-width
Abstract. We show that the tree-width of a graph can be defined without reference to graph vertices, and hence the notion of tree-width can be naturally extended to matroids. (This...
Petr Hlinený, Geoff Whittle
EJC
2006
13 years 4 months ago
Perfect matchings in uniform hypergraphs with large minimum degree
A perfect matching in a k-uniform hypergraph on n vertices, n divisible by k, is a set of n/k disjoint edges. In this paper we give a sufficient condition for the existence of a p...
Vojtech Rödl, Andrzej Rucinski, Endre Szemer&...
EJC
2006
13 years 4 months ago
Antisymmetric flows in matroids
We present a seemingly new definition of flows and flow numbers for oriented matroids and prove that the flow number L and the antisymmetric flow number Las of an oriented matroid...
Winfried Hochstättler, Jaroslav Nesetril
EJC
2006
13 years 4 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
EJC
2006
13 years 4 months ago
Hamilton cycles in random lifts of graphs
An n-lift of a graph K, is a graph with vertex set V (K)
K. Burgin, Prasad Chebolu, Colin Cooper, Alan M. F...