Exact and approximate algorithms for the longest induced path problem

Author:

Marzo Ruslán G.ORCID,Ribeiro Celso C.ORCID

Abstract

The longest induced path problem consists in finding a maximum subset of vertices of a graph such that it induces a simple path. We propose a new exact enumerative algorithm that solves problems with up to 138 vertices and 493 edges and a heuristic for larger problems. Detailed computational experiments compare the results obtained by the new algorithms with other approaches in the literature and investigate the characteristics of the optimal solutions.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

FAPERJ

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

EDP Sciences

Subject

Management Science and Operations Research,Computer Science Applications,Theoretical Computer Science

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. MIP formulations for induced graph optimization problems: a tutorial;International Transactions in Operational Research;2023-04-17

2. New formulations and branch-and-cut procedures for the longest induced path problem;Computers & Operations Research;2022-03

3. Maximum weighted induced forests and trees: new formulations and a computational comparative review;International Transactions in Operational Research;2021-10-31

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