A generalization of the Roy-Gallai theorem on the chromatic number of a graph is derived which is also an extension of several other results of Berge and of...

We give characterizations of integral graphs in the family of complete split graphs and a few related families of graphs.

Variable neighborhood search (VNS) is a recent metaheuristic for solving combinatorial and global optimization problems whose basic idea is systematic chang...

This paper introduces a new kind of operational crew scheduling problem which consists in simultaneously modifying, as necessary, the existing flight depart...

Although airlines plan aircraft routes and crew schedules in advance, perturbations occur everyday. As a result, flight schedules may become infeasible and ...

Proposed just a few years ago, Variable Neighborhood Search (VNS) is a new metaheuristic for combinatorial and global optimization, based upon systematic ch...

This paper solves the problem of designing an access tree network for which the users are connected to the switches through SONET channels on fiber optics l...

This paper describes and solves the operational pilot scheduling problem for one day of operations. The problem consists in simultaneously modifying, as nec...

On the basis of a variable-neighbourhood search with the AutoGraphiX software, it is conjectured that for even numbers of atoms the fully conjugated acycli...

A generalization of the Roy-Gallai theorem is presented: it is based on the existence in any oriented graph of a stable set S such that for any node <i>w</i...

Maximum Clique is one of the most studied NP-hard optimization problem on graphs because of its simplicity and its numerous applications. A basic Variable N...

An algorithm with a complexity linear in the number of vertices is proposed for the computation of the Hyper-Wiener index of chemical trees. This complexity...

La Recherche à Voisinage Variable (RVV) est une métaheuristique récente basée sur l'idée d'un chargement systématique de voisinage, à la fois dans une phase...

Given a set of logical sentences and probabilities that these sentences are true, the probabilistic logic problem consists in determining whethe...

Variable Neighborhood Search (VNS) is a recent metaheuristic which exploits systematically the idea of change of neighborhood within the search. After recal...

We review the work of B. Roy in graph theory and its posterity.

Given a set of logical sentences together with nonnegative weights assigned to each of them, the Maximum Weight Satisfiability problem (MAX-WEIGHT SAT) cons...

We modify the algorithm of Pardalos and Rodgers [40] for the minimization of a pseudo-boolean quadratic function by introducing an easy to compute lower bou...

Clique partitionning in Euclidean space <b>R</b>ⁿ consists in finding a partition of a given set of <i>N</i> points into <i>M</i> clusters in ord...

We present a fast tabu search method for the design of access tree networks. We connect a population of users to a set of switches using a variety of SONET ...