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A fast and high quality multilevel scheme for partitioning irregular graphs
 SIAM JOURNAL ON SCIENTIFIC COMPUTING
, 1998
"... Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc. ..."
Abstract

Cited by 1173 (16 self)
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Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc.
A sentimental education: Sentiment analysis using subjectivity summarization based on minimum cuts
 In Proceedings of the ACL
, 2004
"... Sentiment analysis seeks to identify the viewpoint(s) underlying a text span; an example application is classifying a movie review as “thumbs up” or “thumbs down”. To determine this sentiment polarity, we propose a novel machinelearning method that applies textcategorization techniques to just the ..."
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Cited by 589 (7 self)
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the subjective portions of the document. Extracting these portions can be implemented using efficient techniques for finding minimum cuts in graphs; this greatly facilitates incorporation of crosssentence contextual constraints. Publication info: Proceedings of the ACL, 2004. 1
Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
 SIAM Journal on Optimization
, 1993
"... We study the semidefinite programming problem (SDP), i.e the problem of optimization of a linear function of a symmetric matrix subject to linear equality constraints and the additional condition that the matrix be positive semidefinite. First we review the classical cone duality as specialized to S ..."
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Cited by 557 (12 self)
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and maximum stable set problems in perfect graphs, the maximum k partite subgraph problem in graphs, and va...
Circular colorings of edgeweighted graphs
 J. Graph Theory
, 2003
"... The notion of (circular) colorings of edgeweighted graphs is introduced. This notion generalizes the notion of (circular) colorings of graphs, the channel assignment problem, and several other optimization problems. For instance, its restriction to colorings of weighted complete graphs corresponds ..."
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Cited by 12 (4 self)
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The notion of (circular) colorings of edgeweighted graphs is introduced. This notion generalizes the notion of (circular) colorings of graphs, the channel assignment problem, and several other optimization problems. For instance, its restriction to colorings of weighted complete graphs corresponds
LINEAR SYSTEMS ON EDGEWEIGHTED GRAPHS
"... Abstract. Let R be any subring of the reals. We present a generalization of linear systems on graphs where divisors are Rvalued functions on the set of vertices and graph edges are permitted to have nonnegative weights in R. Using this generalization, we provide an independent proof of a RiemannRo ..."
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Abstract. Let R be any subring of the reals. We present a generalization of linear systems on graphs where divisors are Rvalued functions on the set of vertices and graph edges are permitted to have nonnegative weights in R. Using this generalization, we provide an independent proof of a Riemann
Vertexcolouring Edgeweightings
 COMBINATORICA
, 2007
"... A weighting w of the edges of a graph G induces a colouring of the vertices of G where the colour of vertex v, denoted cv, is ∑ w(e). We show that the edges of every graph that e∋v does not contain a component isomorphic to K2 can be weighted from the set {1,...,30} such that in the resulting vertex ..."
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Cited by 11 (0 self)
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A weighting w of the edges of a graph G induces a colouring of the vertices of G where the colour of vertex v, denoted cv, is ∑ w(e). We show that the edges of every graph that e∋v does not contain a component isomorphic to K2 can be weighted from the set {1,...,30} such that in the resulting
On the complexity of vertexcoloring edgeweightings
 Discrete Math. Theor. Comput. Sci
"... Given a graph G = (V,E) and a weight function w: E → R, a coloring of vertices of G, induced by w, is defined by χw(v) = e3v w(e) for all v ∈ V. In this paper, we show that determining whether a particular graph has a weighting of the edges from {1, 2} that induces a proper vertex coloring is NPcom ..."
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Cited by 8 (1 self)
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Given a graph G = (V,E) and a weight function w: E → R, a coloring of vertices of G, induced by w, is defined by χw(v) = e3v w(e) for all v ∈ V. In this paper, we show that determining whether a particular graph has a weighting of the edges from {1, 2} that induces a proper vertex coloring is NP
Learning from Labeled and Unlabeled Data using Graph Mincuts
, 2001
"... Many application domains suffer from not having enough labeled training data for learning. However, large amounts of unlabeled examples can often be gathered cheaply. As a result, there has been a great deal of work in recent years on how unlabeled data can be used to aid classification. We consi ..."
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Cited by 336 (6 self)
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consider an algorithm based on finding minimum cuts in graphs, that uses pairwise relationships among the examples in order to learn from both labeled and unlabeled data. Our algorithm
Results 1  10
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