We study graph partitioning problems on graphs with edge capacities and vertex weights. The problems of b-balanced cuts and k-balanced partitions are unified into a new problem ca...
Guy Even, Joseph Naor, Satish Rao, Baruch Schieber
A local graph partitioning algorithm finds a cut near a specified starting vertex, with a running time that depends largely on the size of the small side of the cut, rather than...
In this paper we consider the problem of ^-partitioning the nodes of a graph with capacity restrictions on the sum of the node weights in each subset of the partition, and the obje...
Carlos Eduardo Ferreira, Alexander Martin, C. Carv...
—One of the most common types of functions in mathematics, physics, and engineering is a sum of products, sometimes called a partition function. After “normalization,” a sum ...
The Satisfactory Partition problem consists in deciding if a given graph has a partition of its vertex set into two nonempty sets V1, V2 such that for each vertex v, if v ∈ Vi th...