A coloring of a graph is an assignment of colors to its vertices such that adjacent vertices have different colors. Two colorings are equivalent if they indu...

Distance metric learning algorithms aim to appropriately measure similarities and distances between data points. In the context of clustering, metric learnin...

We study the average number \(A(G)\) of colors in the non-equivalent colorings of a graph \(G\). We show some general properties of this graph invariant ...

The Bell numbers count the number of different ways to partition a set of \(n\) elements while the graphical Bell numbers count the number of non-equivalen...

Let \(G=(V,E)\) be a graph and let \(S\subseteq V\) be a subset of its vertices. If the subgraph of \(G\) induced by \(V\setminus S\) is acyclic, the...

Given a set \(\mathcal{R}\) of m disjoint finite regions in the 2-dimensional plane, all regions having polygonal boundaries, and given a set `(\mathc...

Les algorithmes de partitionnement de données aident à identifier des sous-groupes homogènes en ce sens que les données de chaque groupe partagent des caract...

This article discusses the precedence-constrained class sequencing problem (PCCSP). In scheduling terms, this is a one-machine scheduling problem with preced...

We consider three colouring problems which are variations of the basic vertex-colouring problem, and are motivated by applications from various domains. We g...

Recommender systems make use of different sources of information for providing users with recommendations of items. Such systems are often based on collabor...

The eccentric connectivity index of a connected graph \(G\) is the sum over all vertices \(v\) of the product \(d_G(v)e_G(v)\), where \(d_G(v)\) is ...

Given a directed graph \(G=(V,A)\), capacity and cost functions on \(A\), a root \(r\), a subset \(T \subset V\) of terminals, and an integer \(k\)...

A graceful difference labeling (gdl for short) of a directed graph \(G\) with vertex set \(V\) is a bijection `(f:V\rightarrow{1,\ldots,\vert V\vert}...

The eccentricity of a vertex \(v\) in a graph \(G\) is the maximum distance between \(v\) and any other vertex of \(G\). The diameter of a graph `(...

Most papers on digital advertising focus on the point of view of Internet companies such as Google and Microsoft, and were written by people working for thos...

We consider the problems of determining the metric dimension and the minimum cardinality of doubly resolving sets in \(n\)-cubes. Most heuristics develope...

Nous donnons des conditions nécessaires et suffisante pour l'existence d'un graphe simple, ou d'un graphe connexe simple, ayant des nombres donnés `(m_{ij}...

This article discusses the problem of unloading a sequence of boxes from a single conveyor line with a minimum number of moves. The problem under study is ef...

Le problème de la détermination du plus grand sous-graphe \(k\)-colorable (\(k\)-MCSP) consiste à colorer autant de sommets que possible avec au plus `...

Étant donné un graphe \(G\) complet, orienté, avec des poids sur les sommets et les arcs, une \(k\)-coloration \(\theta\)-impropre de \(G\) est une...