Alain Hertz

Member, GERAD

Professor, Department of Mathematics and Industrial Engineering, Polytechnique Montréal

alain.hertz@gerad.ca

Phone: 514 340-6053 x6037

Fax: 514 340-5665

Office 4487

Research Axes

Axis 1: Data valuation for decision making
Axis 4: Real-time decision support

Research Applications

Smart infrastructure (telecommunications, public transport, smart cities)
Smart logistics (schedule design, supply chains, logistics, manufacturing systems)

Publications

Dec 2021

Using graph theory to derive inequalities for the Bell numbers

Alain Hertz, Anaelle Hertz, and Hadrien Mélot

Journal of Integer Sequences, 24(10), Paper no: 21.10.6, 2021 BibTeX reference

Nov 2021

A Lagrangian-based score for assessing the quality of pairwise constraints in semi-supervised clustering

Rodrigo Alves Randel, Daniel Aloise, Simon Blanchard, and Alain Hertz

Data Mining and Knowledge Discovery, 35, 2341–2368, 2021 BibTeX reference

Sep 2021

Decycling bipartite graphs

Alain Hertz

Journal of Graph Algorithms and Applications, 25(1), 461–480, 2021 BibTeX reference

107 publications

News

GERAD members ranked among top scientists for 2022

Feb 22, 2022

Research.com, a leading academic platform forresearchers, has just released the 2022 Edition of our Ranking of Top 1000 Scientists in many fields.

Several of our members among the world’s most influential researchers

Nov 2, 2021

Several GERAD researchers appear in a ranking of research citations created in August 2021 and published on the Mendeley website, a search tool belonging to Elsevier, the Dutch scientific publisher.

La Fraternité du Verseau: A new book by Alain Hertz

Dec 21, 2020

Professor Alain Hertz (Polytechnique Montréal) has published a new book entitled "La Fraternité du Verseau", published by Éditions Eaux Troubles. His novel is available in all bookstores. Alain Hertz is ready to sign his book for those who wish.

8 news

Events

Aug 22, 201910:45 AM — 12:00 PM

Origins of life: How can bioinformatics help to understand them?

GERAD seminar
Jacek Blazewicz – Poznan University of Technology

Room 4488, André-Aisenstadt Building, Université de Montréal Campus

Nov 20, 201803:30 PM — 04:30 PM

How does the web know our preferences ?

“Meet a GERAD researcher!” seminar
Alain Hertz – Professor, Department of Mathematics and Industrial Engineering, Polytechnique Montréal

Room 4488, André-Aisenstadt Building, Université de Montréal Campus

Apr 25, 201703:30 PM — 04:30 PM

Optimisation des positions des annonces sur les moteurs de recherche

“Meet a GERAD researcher!” seminar
Koukla Azeuli Nkamegni – Polytechnique Montréal

Room 4488, André-Aisenstadt Building, Université de Montréal Campus

Cahiers du GERAD

May 2021

G-2021-28
Upper bounds on the average number of colors in the non-equivalent colorings of a graph

Alain Hertz, Hadrien Mélot, Sébastien Bonte, Gauvain Devillez, and Pierre Hauweele

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...

BibTeX reference

May 2021

G-2021-32
Exploring dual information in distance metric learning for clustering

Rodrigo Alves Randel, Daniel Aloise, and Alain Hertz

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

BibTeX reference

Apr 2021

G-2021-25
Lower bounds and properties for the average number of colors in the non-equivalent colorings of a graph

Alain Hertz, Hadrien Mélot, Sébastien Bonte, and Gauvain Devillez

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 ...

BibTeX reference

107 Papers