With the help of the Graffiti system, Fajtlowicz conjectured around 1992 that the average distance between two vertices of a connected graph <i>G</i> is at ...

Methods, models, heuristic and exact algorithms for clustering are reviewed from a mathematical programming view point.

Let <img src="/cgi-bin/mimetex.cgi?G=(V,E)"> be a simple, undirected graph of order <img src="/cgi-bin/mimetex.cgi?n"> and size <img src="/cgi-bin/mimetex.cg...

In this paper we present a simple technique that uses background information to improve mining the frequent patterns of structured data. This technique uses ...

While recent algorithms for mining the frequent subgraphs of a database are efficient in the general case, these algorithms tend to do poorly on databases th...

With the help of the AutoGraphiX system, we study relations of the form

<img src="/cgi-bin/mimetex.cgi?\underline{b}m \le i1(G) \oplus i_2(G) \le \overl...

Most Fleet Assignment Problem (FAP) formulations use a leg-based estimation of revenue loss to derive the passenger revenue component of their objective fu...

We present a model that rapidly finds an approximation of the expected passenger flow on an airline network, given forecast data concerning 1) the distribut...

When constructing a metro alignment under a historical city centre, it is important to generate a cost effective path while maintaining a minimum distance be...

<p>On étudie à l'aide du système AutoGraphiX 2 (AGX 2) des relations de la forme </p>

<p><center> <img src="/cgi-bin/mimetex.cgi?\underline{b}_{n} \, \l...

In this paper the call admission control (CAC) and routing control (RC) problems for loss network systems are studied as optimal stochastic control (OSC) pr...

Main methods, algorithms and applications of the Variable Neighborhood Search metaheuristic are surveyed, in view of a chapter of the <i>Encyclopedia of Opti...

Given a class of graphs <img src="/cgi-bin/mimetex.cgi?\mathcal{F}">, a forbidden subgraph characterization (FSC) is a set of graphs <img src="/cgi-bin/mimet...

Upper bounds for products of four measures of distances in graphs: diameter, radius, average eccentricity and remoteness with three measures of connectivity:...

In the set of all connected graphs with a given domination number, we characterize the graphs which achieve the maximum value of the spectral radius of the ...

We show that among connected graphs with maximum clique size <img src="/cgi-bin/mimetex.cgi?\omega">, the minimum value of the spectral radius of adjacency m...

We present and compare three new compact linearizations for the quadratic 0-1 minimization problem, two of which achieving the same lower bound than the "sta...

Data clustering methods have been developed extensively in the data mining literature for detecting useful patterns in large datasets in the form of dense...

A set of vertices <i>S</i> in a graph <i>G</i> is a clique if any two of its vertices are adjacent. The clique number <img src="/cgi-bin/mimetex.cgi?\omega"...

In this survey, we examine an important class of facility location problems known as the multisource Weber problem (also referred to as the continuous locat...