[HTML][HTML] On minimum vertex bisection of random d-regular graphs

J Díaz, ÖY Diner, M Serna, O Serra - Journal of Computer and System …, 2024 - Elsevier
Minimum vertex bisection is a graph partitioning problem in which the aim is to find a
partition of the vertices into two equal parts that minimizes the number of vertices in one …

A variable neighborhood search approach for the vertex bisection problem

A Herrán, JM Colmenar, A Duarte - Information Sciences, 2019 - Elsevier
Abstract The Vertex Bisection Problem (VBP) belongs to the family of well-known graph
partitioning problems, where the main goal is to find a partition of the vertices maximizing or …

Branch and bound algorithm for vertex bisection minimization problem

P Jain, G Saran, K Srivastava - … : Proceedings of the 9th ICACCT, 2015, 2016 - Springer
Abstract Vertex Bisection Minimization problem (VBMP) consists of partitioning the vertex set
V of a graph G=(V, E) into two sets B and B′ where\left| B\right|\,=\left ⌊| V|/2\right ⌋ B=| V|/2 …

On minimizing vertex bisection using a memetic algorithm

P Jain, G Saran, K Srivastava - Information Sciences, 2016 - Elsevier
Abstract Vertex Bisection Minimization problem (VBMP) consists of partitioning a vertex set
into two sets B and B′ where| B|=| V|/2 such that vertex width, VW, is minimized which is …

Cellular processing algorithm for the vertex bisection problem: Detailed analysis and new component design

JD Terán-Villanueva, HJ Fraire-Huacuja, SI Martínez… - Information …, 2019 - Elsevier
The vertex bisection problem splits a graph G=(V, E) into two sets, L⊆ V,| L|=⌊| V|/2⌋ and
R= V∖ L, such that it minimizes the number of vertices in L connected to R. This problem is a …

A new integer linear programming and quadratically constrained quadratic programming formulation for vertex bisection minimization problem

P Jain, G Saran, K Srivastava - Journal of Automation Mobile …, 2016 - yadda.icm.edu.pl
Vertex Bisection Minimization problem (VBMP) consists of partitioning a vertex set V of
graph G=(V, E) into two sets B and B′ where∣ B∣= such that vertex width (VW) is …

Two novel branch and bound algorithms for the vertex bisection problem

C Soto, E Del Ángel-Martínez, H Fraire-Huacuja… - Expert Systems with …, 2022 - Elsevier
In this paper, we address the exact solution of the vertex bisection problem (VBP). We
propose two novel B&B algorithms to solve VBP, which include new upper and lower bound …

[PDF][PDF] Un nuevo algoritmo de ramificación y acotamiento para el problema de la bisección de vértices.

E Del Ángel-Martínez, HJF Huacuja, C Soto… - Res. Comput …, 2019 - rcs.cic.ipn.mx
En este artıculo se aborda el problema de la solución exacta del problema de la bisección
de los vértices de un grafo. Este es un problema NP-duro que surge en el contexto de las …

Clustering driven iterated hybrid search for vertex bisection minimization

Y Jin, B Xiong, K He, JK Hao, CM Li… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
The Vertex Bisection Minimization Problem (VBMP) is a relevant graph partitioning model
with a variety of practical applications. This work introduces a clustering driven iterated …

Two new integer linear programming formulations for the vertex bisection problem

N Castillo-García, P Hernández Hernández - Computational Optimization …, 2019 - Springer
The vertex bisection problem (VBP) is an NP-hard combinatorial optimization problem with
important practical applications in the context of network communications. The problem …