Results 211 to 220 of about 175,549 (222)

Balanced graph partitioning

Proceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures, 2004
In this paper we consider the problem of (k, υ)-balanced graph partitioning - dividing the vertices of a graph into k almost equal size components (each of size less than υ • nk) so that the capacity of edges between different components is minimized. This problem is a natural generalization of several other problems such as minimum bisection, which is
Harald Räcke, Konstantin Andreev
openaire   +2 more sources

Cycle Partitions in Graphs

Combinatorics, Probability and Computing, 1996
In this paper, we prove that every graph contains a cycle intersecting all maximum independent sets. Using this, we further prove that every graph with stability number α is spanned by α disjoint cycles. Here, the empty set, the graph of order 1 and the path of order 2 are all considered as degenerate cycles.
Chen, C.C., Jin, G.P.
openaire   +2 more sources

Unbalanced Graph Partitioning

Theory of Computing Systems, 2010
We investigate the unbalanced cut problems. A cut (A,B) is called unbalanced if the size of its smaller side is at most k (called k-size) or exactly k (called Ek-size), where k is an input parameter. We consider two closely related unbalanced cut problems, in which the quality of a cut is measured with respect to the sparsity and the conductance ...
Angsheng Li, Peng Zhang
openaire   +2 more sources

Algorithms for partitioning a graph

Computers & Industrial Engineering, 1995
Abstract The k -way graph partitioning problem is considered with two efficient heuristic procedures. Algorithms “local extreme exchange” (LEE) and “overall extreme exchange” (OEE) are presented by modifying Kernighan-Lin's two way uniform partitioning method. In algorithm LEE, a node which maximizes the reduced cost is selected and exchanged with a
PARK, T, LEE, CY Lee, Chae Young
openaire   +2 more sources

Star partitions on graphs

Discrete Optimization, 2019
Abstract Given an undirected graph, a star partition is a partition of the nodes into subsets with at least two nodes so that the subgraph induced by each subset has a spanning star. Star partitions are related to well-known problems concerning domination in graphs and edge covering.
G. Andreatta   +3 more
openaire   +1 more source

Partitions of Graphs

2010
Many difficult optimization problems on graphs become tractable when restricted to some classes of graphs, usually to hereditary classes. A large part of these problems can be expressed in the vertex partitioning formalism, i.e., by partitioning of the vertex set of a given graph into subsets \({V }_{1},\ldots,\!{V }_{k}\) called colour classes ...
openaire   +2 more sources

Home - About - Disclaimer - Privacy