Apr 23, 2016 · Abstract:In the graph balancing problem the goal is to orient a weighted undirected graph to minimize the maximum weighted in-degree.

A simple 3/2 approximation is described for the graph balancing problem with two-edge types, settling this very special case of makespan minimization.

Sep 11, 2016 · Abstract. In the graph balancing problem the goal is to orient a weighted undirected graph to minimize the maximum weighted in-degree.

In the graph balancing problem the goal is to orient a weighted undirected graph to minimize the maximum weighted in-degree. This special case of makespan ...

Mar 10, 2023 · In this paper, we define a more general variant of the balancing number, the generalized balancing number, by considering 2-coverings of the edge set.

Node 2 directs the edge toward node 3, which in turn causes the next edge ... τ=0 Cτ and consist of only the following two types: 1. Type α: a node v that ...

In mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups.

Jan 11, 2024 · Extending Graph Balancing to Hyperedges and Unrelated Weights. 5.1 Graph Balancing ... Graph Balancing with Two Edge Types. CoRR, abs/1604.06918, ...

There are two types of edge nodes: big edge nodes for edges with weight s; and small edge nodes for those with weight r. From source α 1 , add an arc from α ...