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» Bounding Degrees on RPL
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COMPGEOM
1994
ACM
15 years 1 months ago
Almost Tight Upper Bounds for the Single Cell and Zone Problems in Three Dimensions
We consider the problem of bounding the combinatorial complexity of a single cell in an arrangement of n low-degree algebraic surface patches in 3-space. We show that this complex...
Dan Halperin, Micha Sharir
STOC
2009
ACM
96views Algorithms» more  STOC 2009»
15 years 10 months ago
MaxMin allocation via degree lower-bounded arborescences
We consider the problem of MaxMin allocation of indivisible goods. There are m items to be distributed among n players. Each player i has a nonnegative valuation pij for an item j...
MohammadHossein Bateni, Moses Charikar, Venkatesan...
ANTS
2008
Springer
83views Algorithms» more  ANTS 2008»
14 years 11 months ago
Enumeration of Totally Real Number Fields of Bounded Root Discriminant
We enumerate all totally real number fields F with root discriminant F 14. There are 1229 such fields, each with degree [F : Q] 9. In this article, we consider the following prob...
John Voight
APPML
2011
14 years 4 months ago
Bounds on the k-domination number of a graph
The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove t...
Ermelinda DeLaViña, Wayne Goddard, Michael ...
SIROCCO
2000
14 years 11 months ago
Lower bounds for (weak) sense of direction
A graph with n vertices and maximum degree cannot be given weak sense of direction using less than colours. It is known that n colours are always sufficient, but it has been conje...
Paolo Boldi, Sebastiano Vigna