Bisection: A type of graph partitioning that splits the vertex set into two parts of nearly equal size, typically with the aim of minimising inter-part edge crossings.

This repo contains some extensions of the code corresponding to the SIGIR 2021 short paper Faster Index Reordering with Bipartite Graph Partitioning by Joel Mackenzie, Matthias Petri, and Alistair ...

This repo contains the code corresponding to the SIGIR 2021 short paper Faster Index Reordering with Bipartite Graph Partitioning by Joel Mackenzie, Matthias Petri, and Alistair Moffat. This work was ...

The bisection method is an advantageous debugging tool due to its simplicity, reliability, speed, and versatility. It is easy to understand and implement without any special knowledge or skills.

The bisection method is the simplest of the root finding methods. ... Consider the graph of f (x) = (x - 1) 2 plot((x-1)^2, x = 0..2); There are no values of f (x) near the root for which f (x) < 0, ...

Draw graph. To visualise the bisection method, a function must be defined in the field f(x)= (detailed information on the function syntax can be found here). In addition, the domain of the function ...

The bisection method requires only one function evaluation per iteration, but it does not use any information about the slope or shape of the function. Add your perspective.

Abstract: Some interesting theoretical aspects of graph bisection, a fundamental problem with several applications in the design of very-large-scale-integrated (VLSI) circuits, are presented.

We present a novel exact algorithm for the minimum graph bisection problem, whose goal is to partition a graph into two equally-sized cells while minimizing the number of edges between them. Our ...

We introduce new lower bounds for the minimum graph bisection problem. Within a branch-and-bound framework, they enable the solution of a wide variety of instances with tens of thousands of vertices ...