An introduction to temporal graphs: An algorithmic perspective

O Michail - Internet Mathematics, 2016 - Taylor & Francis
A temporal graph is, informally speaking, a graph that changes with time. When time is
discrete and only the relationships between the participating entities may change and not …

Multirobot rendezvous planning for recharging in persistent tasks

N Mathew, SL Smith… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This paper addresses a multirobot scheduling problem in which autonomous unmanned
aerial vehicles (UAVs) must be recharged during a long-term mission. The proposal is to …

[HTML][HTML] Traveling salesman problems in temporal graphs

O Michail, PG Spirakis - Theoretical Computer Science, 2016 - Elsevier
In this work, we introduce the notion of time to some well-known combinatorial optimization
problems. In particular, we study problems defined on temporal graphs. A temporal graph …

Monochromatic and heterochromatic subgraphs in edge-colored graphs-a survey

M Kano, X Li - Graphs and Combinatorics, 2008 - Springer
Nowadays the term monochromatic and heterochromatic (or rainbow, multicolored)
subgraphs of an edge-colored graph appeared frequently in literature, and many results on …

An introduction to temporal graphs: An algorithmic perspective

O Michail - … , Probability, Networks, and Games: Scientific Papers …, 2015 - Springer
A temporal graph is, informally speaking, a graph that changes with time. When time is
discrete and only the relationships between the participating entities may change and not …

Fixed-parameter tractability of maximum colored path and beyond

FV Fomin, PA Golovach, T Korhonen… - ACM Transactions on …, 2024 - dl.acm.org
We introduce a general method for obtaining fixed-parameter algorithms for problems about
finding paths in undirected graphs, where the length of the path could be unbounded in the …

Approximation algorithms and hardness results for labeled connectivity problems

R Hassin, J Monnot, D Segev - Journal of Combinatorial Optimization, 2007 - Springer
Abstract Let G=(V, E) be a connected multigraph, whose edges are associated with labels
specified by an integer-valued function ℒ: E→ ℕ. In addition, each label ℓ∈ ℕ has a non …

Metaheuristics comparison for the minimum labelling spanning tree problem

R Cerulli, A Fink, M Gentili, S Voß - The Next Wave in Computing …, 2005 - Springer
Abstract We study the Minimum Labelling Spanning Tree Problem: Given a graph G with a
color (label) assigned to each edge (not necessarily properly) we look for a spanning tree of …

A dynamic programming algorithm for solving the k-Color Shortest Path Problem

D Ferone, P Festa, S Fugaro, T Pastore - Optimization Letters, 2021 - Springer
Several variants of the classical Constrained Shortest Path Problem have been presented in
the literature so far. One of the most recent is the k-Color Shortest Path Problem (k k-CSPP) …

Approximation and hardness results for label cut and related problems

P Zhang, JY Cai, LQ Tang, WB Zhao - Journal of Combinatorial …, 2011 - Springer
We investigate a natural combinatorial optimization problem called the Label Cut problem.
Given an input graph G with a source s and a sink t, the edges of G are classified into …