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» The Polytope of Degree Partitions
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ALGORITHMICA
2007
145views more  ALGORITHMICA 2007»
13 years 5 months ago
Counting Integer Points in Parametric Polytopes Using Barvinok's Rational Functions
Abstract Many compiler optimization techniques depend on the ability to calculate the number of elements that satisfy certain conditions. If these conditions can be represented by ...
Sven Verdoolaege, Rachid Seghir, Kristof Beyls, Vi...
SIAMDM
2008
119views more  SIAMDM 2008»
13 years 4 months ago
On the Graph Bisection Cut Polytope
Given a graph G = (V, E) with node weights v N {0}, v V , and some number F N{0}, the convex hull of the incidence vectors of all cuts (S), S V with (S) F and (V \ S) F is ...
Michael Armbruster, Christoph Helmberg, Marzena F&...
CORR
2010
Springer
94views Education» more  CORR 2010»
12 years 12 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
ICCAD
2003
IEEE
148views Hardware» more  ICCAD 2003»
14 years 1 months ago
Multi.Objective Hypergraph Partitioning Algorithms for Cut and Maximum Subdomain Degree Minimization
In this paper we present a family of multi-objective hypergraph partitioning algorithms based on the multilevel paradigm, which are capable of producing solutions in which both th...
Navaratnasothie Selvakkumaran, George Karypis
COMBINATORICS
2007
75views more  COMBINATORICS 2007»
13 years 4 months ago
Maximal Projective Degrees for Strict Partitions
Let λ be a partition, and denote by fλ the number of standard tableaux of shape λ. The asymptotic shape of λ maximizing fλ was determined in the classical work of Logan and S...
D. Bernstein, A. Henke, A. Regev