Search Results - "Soulignac, Francisco J"
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Total 2-domination of proper interval graphs
Published in Discrete Applied Mathematics (30-10-2021)“…A set of vertices W of a graph G is a total k-dominating set when every vertex of G has at least k neighbors in W. In a recent article, Chiarelli et al. (2019)…”
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A branch-cut-and-price algorithm for the time-dependent electric vehicle routing problem with time windows
Published in European journal of operational research (01-02-2024)“…•The TDEVRPTW incorporates the time dependency in the travel times and in the battery discharge of the electric vehicles.•We propose a general framework that…”
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Linear edge costs and labeling algorithms: The case of the time‐dependent vehicle routing problem with time windows
Published in Networks (01-07-2020)“…In this paper we implement a branch‐price and cut algorithm for a time dependent vehicle routing problem with time windows in which the goal is to minimize the…”
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Arboricity, h-index, and dynamic algorithms
Published in Theoretical computer science (06-04-2012)“…We propose a new data structure for manipulating graphs, called h-graph, which is particularly suited for designing dynamic algorithms. The structure itself is…”
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Normal Helly circular-arc graphs and its subclasses
Published in Discrete Applied Mathematics (01-05-2013)“…A Helly circular-arc model M=(C,A) is a circle C together with a Helly family A of arcs of C. If no arc is contained in any other, then M is a proper Helly…”
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A faster algorithm for the cluster editing problem on proper interval graphs
Published in Information processing letters (01-12-2015)“…•O(n+m) time algorithm to solve cluster editing problem for proper interval graphs.•A variation of Mannaa's dynamic programming algorithm with O(n)…”
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The clique operator on circular-arc graphs
Published in Discrete Applied Mathematics (28-06-2010)“…A circular-arc graph G is the intersection graph of a collection of arcs on the circle and such a collection is called a model of G . Say that the model is…”
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NP-hardness of the recognition of coordinated graphs
Published in Annals of operations research (01-07-2009)“…A graph G is coordinated if the minimum number of colors that can be assigned to the cliques of H in such a way that no two cliques with non-empty intersection…”
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Disimplicial arcs, transitive vertices, and disimplicial eliminations
Published in Discrete mathematics and theoretical computer science (15-09-2015)“…In this article we deal with the problems of finding the disimplicial arcs of a digraph and recognizing some interesting graph classes defined by their…”
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A certifying and dynamic algorithm for the recognition of proper circular-arc graphs
Published in Theoretical computer science (08-10-2021)“…We present a dynamic algorithm for the recognition of proper circular-arc (PCA) graphs, that supports the insertion and removal of vertices (together with its…”
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Hereditary biclique-Helly graphs: recognition and maximal biclique enumeration
Published in Discrete mathematics and theoretical computer science (01-01-2013)“…Graphs and Algorithms A biclique is a set of vertices that induce a complete bipartite graph. A graph G is biclique-Helly when its family of maximal bicliques…”
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Complexity of solving a system of difference constraints with variables restricted to a finite set
Published in Information processing letters (01-08-2023)“…Fishburn developed an algorithm to solve a system of m difference constraints whose n unknowns must take values from a set with k real numbers (Fishburn, 2002…”
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The eternal dominating set problem for interval graphs
Published in Information processing letters (01-06-2019)“…•The eternal domination and clique-connected cover numbers coincide for interval graphs.•The previous proof of this fact for proper interval graphs is greatly…”
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Fully Dynamic Recognition of Proper Circular-Arc Graphs
Published in Algorithmica (01-04-2015)“…We present a fully dynamic algorithm for the recognition of proper circular-arc (PCA) graphs. The allowed operations on the graph involve the insertion and…”
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Bounded, minimal, and short representations of unit interval and unit circular-arc graphs. Chapter I: theory
Published in Journal of graph algorithms and applications (01-02-2017)“…This is the first of two chapters of a work in which we consider the unrestricted, minimal, and bounded representation problems for unit interval (UIG) and…”
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Bounded, minimal, and short representations of unit interval and unit circular-arc graphs. Chapter II: algorithms
Published in Journal of graph algorithms and applications (01-02-2017)“…This is the second and last chapter of a work in which we consider the unrestricted, minimal, and bounded representation problems for unit interval (UIG) and…”
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The Star and Biclique Coloring and Choosability Problems
Published in Journal of graph algorithms and applications (2014)Get full text
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Loop unrolling of UCA models: distance labeling
Published 21-02-2022“…A proper circular-arc (PCA) model is a pair $M = (C, A)$ where $C$ is a circle and $A$ is a family of inclusion-free arcs on $C$ whose extremes are pairwise…”
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Complexity of solving a system of difference constraints with variables restricted to a finite set
Published 09-11-2022“…Fishburn developed an algorithm to solve a system of $m$ difference constraints whose $n$ unknowns must take values from a set with $k$ real numbers [Solving a…”
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Journal Article -
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Total 2-domination of proper interval graphs
Published 03-12-2018“…A set of vertices $W$ of a graph $G$ is a total $k$-dominating set when every vertex of $G$ has at least $k$ neighbors in $W$. In a recent article, Chiarelli…”
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