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A GRASP for the Convex Recoloring Problem in Graphs

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Author(s):
dos Santos Dantasa, Ana Paula ; de Souzaa, Cid Carvalho ; Dias, Zanoni
Total Authors: 3
Document type: Journal article
Source: ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE; v. 346, p. 13-pg., 2019-08-30.
Abstract

In this paper, we consider a coloring as a function that assigns a color to a vertex, regardless of the color of its neighbors. The Convex Recoloring Problem finds the minimum number of recolored vertices needed to turn a coloring convex, that is, every set formed by all the vertices with the same color induces a connected subgraph. The problem is most commonly studied considering trees due to its origins in the study of phylogenetic trees, but in this paper, we focus on general graphs and propose a GRASP heuristic to solve the problem. We present computational experiments for our heuristic and compare it to an Integer Linear Programming model from the literature. In these experiments, the GRASP algorithm recolored a similar number of vertices than the model from the literature, and used considerably less time. We also introduce a set of benchmark instances for the problem. (AU)

FAPESP's process: 17/12646-3 - Déjà vu: feature-space-time coherence from heterogeneous data for media integrity analytics and interpretation of events
Grantee:Anderson de Rezende Rocha
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 18/04760-3 - Convex graph Recoloring
Grantee:Ana Paula dos Santos Dantas
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 15/11937-9 - Investigation of hard problems from the algorithmic and structural stand points
Grantee:Flávio Keidi Miyazawa
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 13/08293-7 - CCES - Center for Computational Engineering and Sciences
Grantee:Munir Salomao Skaf
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 17/16246-0 - Sensitive media analysis through deep learning architectures
Grantee:Sandra Eliza Fontes de Avila
Support Opportunities: Regular Research Grants