The orderly colored longest path problem-a survey of applications and new algorithms

M Szachniuk, M Cristina De Cola, G Felici… - RAIRO-Operations …, 2014 - numdam.org
A concept of an Orderly Colored Longest Path (OCLP) refers to the problem of finding the
longest path in a graph whose edges are colored with a given number of colors, under the …

A hybrid metaheuristic for the minimum labeling spanning tree problem

TG Da Silva, E Queiroga, LS Ochi, LAF Cabral… - European Journal of …, 2019 - Elsevier
An edge-labeled graph (ELG) is a graph in which each edge has a label associated. Given
G, an ELG, the minimum labeling spanning tree problem (MLSTP) is an NP-hard problem …

The rainbow spanning forest problem

F Carrabs, C Cerrone, R Cerulli, S Silvestri - Soft Computing, 2018 - Springer
Given an undirected and edge-colored graph G, a rainbow component of G is a subgraph of
G having all the edges with different colors. The Rainbow Spanning Forest Problem consists …

The rainbow steiner tree problem

D Ferone, P Festa, F Guerriero - Computers & Operations Research, 2022 - Elsevier
Given an undirected and edge-colored graph with non-negative edge lengths, the aim of the
Rainbow Steiner Tree Problem (RSTP) is to find a minimum Steiner Tree that uses at most …

Constrained matching problems in bipartite graphs

M Mastrolilli, G Stamoulis - International Symposium on Combinatorial …, 2012 - Springer
We study the following generalization of maximum matchings in bipartite graphs: given a
bipartite graph such that each edge has a unique color cj, we are asked to find a maximum …

[PDF][PDF] Combinatorial optimization in networks with shared risk link groups

D Coudert, S Pérennes, H Rivano… - Discrete Mathematics …, 2016 - dmtcs.episciences.org
The notion of Shared Risk Link Groups (SRLG) captures survivability issues when a set of
links of a network may fail simultaneously. The theory of survivable network design relies on …

[PDF][PDF] Maximum flow problems and an NP-complete variant on edge-labeled graphs

D Granata, R Cerulli, MG Scutella… - Handbook of …, 2013 - academia.edu
The aim of this chapter is to present an overview of the main results for a well-known
optimization problem and an emerging optimization area, as well as introducing a new …

On the complexity of rainbow spanning forest problem

F Carrabs, C Cerrone, R Cerulli, S Silvestri - Optimization Letters, 2018 - Springer
Given a graph G=(V, E, L) G=(V, E, L) and a coloring function ℓ: E → L ℓ: E→ L, that assigns
a color to each edge of G from a finite color set L, the rainbow spanning forest problem …

Two heuristics for the rainbow spanning forest problem

S Ghoshal, S Sundar - European Journal of Operational Research, 2020 - Elsevier
A rainbow spanning forest (say RF) of a given connected, undirected and edge-colored
graph (G) is a spanning forest of a set of rainbow components, where a rainbow component …

A steady-state grou** genetic algorithm for the rainbow spanning forest problem

S Ghoshal, S Sundar - SN Computer Science, 2023 - Springer
Given a connected, undirected and edge-colored graph, the rainbow spanning forest (RSF)
problem aims to find a rainbow spanning forest with the minimum number of rainbow trees …