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DAM
2008
67views more  DAM 2008»
14 years 10 months ago
On the variance of Shannon products of graphs
We study the combinatorial problem of finding an arrangement of distinct integers into the ddimensional N-cube so that the maximal variance of the numbers on each -dimensional sec...
József Balogh, Clifford D. Smyth
DAM
2007
141views more  DAM 2007»
14 years 10 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
EJC
2007
14 years 10 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n ...
Oliver Cooley, Daniela Kühn, Deryk Osthus
89
Voted
MP
2008
99views more  MP 2008»
14 years 10 months ago
Compact formulations as a union of polyhedra
We explore one method for finding the convex hull of certain mixed integer sets. The approach is to break up the original set into a small number of subsets, find a compact polyhed...
Michele Conforti, Laurence A. Wolsey
76
Voted
COLT
2007
Springer
15 years 4 months ago
Improved Rates for the Stochastic Continuum-Armed Bandit Problem
Abstract. Considering one-dimensional continuum-armed bandit problems, we propose an improvement of an algorithm of Kleinberg and a new set of conditions which give rise to improve...
Peter Auer, Ronald Ortner, Csaba Szepesvári