Alain Hertz
RetourCahiers du GERAD
107 résultats — page 1 de 6
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...
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Distance metric learning algorithms aim to appropriately measure similarities and distances between data points. In the context of clustering, metric learnin...
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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...
Decycling bipartite graphs
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...
référence BibTeXAn exact dynamic programming algorithm for the precedence-constrained class sequencing problem
This article discusses the precedence-constrained class sequencing problem (PCCSP). In scheduling terms, this is a one-machine scheduling problem with preced...
référence BibTeXGraph colouring variations
We consider three colouring problems which are variations of the basic vertex-colouring problem, and are motivated by applications from various domains. We g...
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Recommender systems make use of different sources of information for providing users with recommendations of items. Such systems are often based on collabor...
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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...
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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}...
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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...
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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...