Results 1  10
of
173,827
A Separator Theorem for Planar Graphs
, 1977
"... Let G be any nvertex planar graph. We prove that the vertices of G can be partitioned into three sets A, B, C such that no edge joins a vertex in A with a vertex in B, neither A nor B contains more than 2n/3 vertices, and C contains no more than 2& & vertices. We exhibit an algorithm which ..."
Abstract

Cited by 465 (1 self)
 Add to MetaCart
Let G be any nvertex planar graph. We prove that the vertices of G can be partitioned into three sets A, B, C such that no edge joins a vertex in A with a vertex in B, neither A nor B contains more than 2n/3 vertices, and C contains no more than 2& & vertices. We exhibit an algorithm which
Community detection in graphs
, 2009
"... The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of th ..."
Abstract

Cited by 801 (1 self)
 Add to MetaCart
The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices
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)
 Add to MetaCart
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.
Graphs over Time: Densification Laws, Shrinking Diameters and Possible Explanations
, 2005
"... How do real graphs evolve over time? What are “normal” growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large network, or in a very small number of snapshots; these include hea ..."
Abstract

Cited by 534 (48 self)
 Add to MetaCart
How do real graphs evolve over time? What are “normal” growth patterns in social, technological, and information networks? Many studies have discovered patterns in static graphs, identifying properties in a single snapshot of a large network, or in a very small number of snapshots; these include
There are planar graphs almost as good as the complete graphs and almost as cheap as minimum spanning trees
 Algorithmica
, 1992
"... Abstract. Let S be a set of n points in the plane. For an arbitrary positive rational r, we construct a planar straightline graph on S that approximates the complete Euclidean graph on S within the factor (1 + 1/r)[2n/3 cos(n/6)], and it has length bounded by 2r + 1 times the length of a minimum Eu ..."
Abstract

Cited by 39 (0 self)
 Add to MetaCart
Abstract. Let S be a set of n points in the plane. For an arbitrary positive rational r, we construct a planar straightline graph on S that approximates the complete Euclidean graph on S within the factor (1 + 1/r)[2n/3 cos(n/6)], and it has length bounded by 2r + 1 times the length of a minimum
Good ErrorCorrecting Codes based on Very Sparse Matrices
, 1999
"... We study two families of errorcorrecting codes defined in terms of very sparse matrices. "MN" (MacKayNeal) codes are recently invented, and "Gallager codes" were first investigated in 1962, but appear to have been largely forgotten, in spite of their excellent properties. The ..."
Abstract

Cited by 741 (23 self)
 Add to MetaCart
. The decoding of both codes can be tackled with a practical sumproduct algorithm. We prove that these codes are "very good," in that sequences of codes exist which, when optimally decoded, achieve information rates up to the Shannon limit. This result holds not only for the binarysymmetric channel
ZTree: Zurich Toolbox for Readymade Economic Experiments, Working paper No
, 1999
"... 2.2.2 Startup of the Experimenter PC............................................................................................... 9 2.2.3 Startup of the Subject PCs....................................................................................................... 9 ..."
Abstract

Cited by 1956 (33 self)
 Add to MetaCart
2.2.2 Startup of the Experimenter PC............................................................................................... 9 2.2.3 Startup of the Subject PCs....................................................................................................... 9
The Architecture of Cognition
, 1983
"... Spanning seven orders of magnitude: a challenge for ..."
Abstract

Cited by 1580 (40 self)
 Add to MetaCart
Spanning seven orders of magnitude: a challenge for
Results 1  10
of
173,827