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» The Number of Independent Sets in a Regular Graph
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DM
2000
150views more  DM 2000»
14 years 11 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
PROPERTYTESTING
2010
14 years 9 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
DAM
2008
67views more  DAM 2008»
14 years 11 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
SWAT
1994
Springer
113views Algorithms» more  SWAT 1994»
15 years 3 months ago
Trapezoid Graphs and Generalizations, Geometry and Algorithms
Trapezoid graphs are a class of cocomparability graphs containing interval graphs and permutation graphs as subclasses. They were introduced by Dagan, Golumbic and Pinter DGP]. Th...
Stefan Felsner, Rudolf Müller, Lorenz Wernisc...
FCT
2007
Springer
15 years 3 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee