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Azeuli Nkamegni, K., Gamache, M., Hertz, A., & Paroz, S. (2017). Optimizing keyword positions for search engine marketing. (Technical Report n° G-2017-26). External link
Altinakar, S., Caporossi, G., & Hertz, A. (2017). Symmetry breaking constraints for the minimum deficiency problem. Journal of Graph Algorithms and Applications, 21(2), 195-218. External link
Altinakar, S., Caporossi, G., & Hertz, A. (2016). A comparison of integer and constraint programming models for the deficiency problem. Computers & Operations Research, 68, 89-96. External link
Adegbindin, M., Hertz, A., & Bellaïche, M. (2016). A new efficient RLF-like algorithm for the vertex coloring problem. Yugoslav Journal of Operations Research, 26(4), 441-456. Available
Absil, R., Camby, E., Hertz, A., & Mélot, H. (2016). A sharp lower bound on the number of non-equivalent colorings of graphs of order n and maximum degree n - 3. Discrete Applied Mathematics, 234, 3-11. External link
Archetti, C., Bianchessi, N., Hertz, A., Colombet, A., & Gagnon, F. (2012, August). Directed weighted improper coloring for cellular channel allocation [Paper]. 8th International Colloquium on Graphs and Optimization (GO VIII), Leukerbad, Switzerland. Published in Discrete Applied Mathematics, 182(19). External link
Archetti, C., Bianchessi, N., & Hertz, A. (2014). A branch-and-price algorithm for the robust graph coloring problem. Discrete Applied Mathematics, 165, 49-59. External link
Archetti, C., Bianchessi, N., Speranza, M. G., & Hertz, A. (2014). Incomplete service and split deliveries in a routing problem with profits. Networks, 63(2), 135-145. External link
Archetti, C., Bianchessi, N., Speranza, M. G., & Hertz, A. (2014). The Split Delivery Capacitated Team Orienteering Problem. Networks, 63(1), 16-33. External link
Archetti, C., Bertazzi, L., Hertz, A., & Speranza, M. G. (2012). A Hybrid Heuristic for an Inventory Routing Problem. INFORMS Journal on Computing, 24(1), 101-116. External link
Altinakar, S., Caporossi, G., & Hertz, A. (2011). On compact k-edge-colorings: A polynomial time reduction from linear to cyclic. Discrete Optimization, 8(3), 502-512. External link
Archetti, C., Feillet, D., Hertz, A., & Speranza, M. G. (2010). The undirected capacitated arc routing problem with profits. Computers & Operations Research, 37(11), 1860-1869. External link
Archetti, C., Feillet, D., Hertz, A., & Speranza, M. G. (2009). The capacitated team orienteering and profitable tour problems. Journal of the Operational Research Society, 60(6), 831-842. External link
Archetti, C., Hertz, A., & Speranza, M. G. (2007). Metaheuristics for the Team Orienteering Problem. Journal of Heuristics, 13(1), 49-76. External link
Archetti, C., Speranza, M. G., & Hertz, A. (2006). A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem. Transportation Science, 40(1), 64-73. External link
Avanthay, C., Hertz, A., & Zufferey, N. (2003). A Variable Neighborhood Search for Graph Coloring. European Journal of Operational Research, 151(2), 379-388. External link
Bürgy, R., Hertz, A., & Baptiste, P. (2020). An exact dynamic programming algorithm for the precedence-constrained class sequencing problem. Computers & Operations Research, 124, 24 pages. External link
Bentz, C., Costa, M.-C., & Hertz, A. (2020). On the edge capacitated Steiner tree problem. Discrete Optimization, 38, 25 pages. External link
Bécotte-Boutin, H.-S., Caporossi, G., Hertz, A., & Leblay, C. (2019). Writing and rewriting: the colored numerical visualization of Keystroke logging. In Lingdgren, E., & Sullivan, K. P. H. (eds.), Observing writing: insights from Keystroke logging and handwriting (pp. 96-114). External link
Bürgy, R., Baptiste, P., Hertz, A., Rebaine, D., & Linhares, A. (2018). A stochastic online algorithm for unloading boxes from a conveyor line. Flexible Services and Manufacturing Journal, 30(4), 764-784. External link
Baptiste, P., Burgy, R., Hertz, A., & Rebaine, D. (2017). Online heuristics for unloading boxes off a gravity conveyor. International Journal of Production Research, 55(11), 3046-3057. External link
Baptiste, P., Hertz, A., Linhares, A., & Reaine, D. (2013). A polynomial time algorithm for unloading boxes off a gravity conveyor. Discrete Optimization, 10(4), 251-262. External link
Bouchard, M., Cangalovic, M., & Hertz, A. (2010). On a Reduction of the Interval Coloring Problem to a Series of Bandwidth Coloring Problems. Journal of Scheduling, 13(6), 583-595. External link
Bouchard, M., Cangalovic, M., & Hertz, A. (2009). About equivalent interval colorings of weighted graphs. Discrete Applied Mathematics, 157(17), 3615-3624. External link
Bouchard, M., Hertz, A., & Desaulniers, G. (2009). Lower bounds and a tabu search algorithm for the minimum deficiency problem. Journal of Combinatorial Optimization, 17(2), 168-191. External link
Contardo, C., & Hertz, A. (2021). An exact algorithm for a class of geometric set-cover problems. Discrete Applied Mathematics, 300, 25-35. External link
Carreau, M., Morgenroth, M., Belashov, O., Mdimagh, A., Hertz, A., & Marcotte, O. (2010, September). Wind farm design optimization [Paper]. 21st World Energy Congress, Montréal, Québec. External link
Cordeau, J.-F., Gendreau, M., Hertz, A., Laporte, G., & Sormany, J.-S. (2005). New heuristics for the vehicle routing problem. In Logistics systems : design and optimization (pp. 279-297). External link
Costa, M.-C., Hertz, A., & Mittaz, M. (2002). Bounds and heuristics for the shortest capacitated paths problem. Journal of Heuristics, 8(4), 449-465. External link
Devillez, G., Hertz, A., Mélot, H., & Hauweele, P. (2019). Minimum eccentric connectivity index for graphs with fixed order and fixed number of pendant vertices. Yugoslav Journal of Operations Research, 29(2), 193-202. External link
de Werra, D., & Hertz, A. (2015). Chromatic scheduling. In Lowell, W. B., & Wilson, R. J. (eds.), Topics in chromatic graph theory (pp. 255-276). External link
Desrosiers, C., Galinier, P., Hansen, P., & Hertz, A. (2014). Automated generation of conjectures on forbidden subgraph characterization. Discrete Applied Mathematics, 162, 177-194. External link
Desrosiers, C., Galinier, P., Hertz, A., & Hansen, P. (2010). Improving constrained pattern mining with first-fail-based heuristics. Data Mining and Knowledge Discovery, 23(1), 1-28. External link
Desrosiers, C., Galinier, P., Hertz, A., & Paroz, S. (2009). Using heuristics to find minimal unsatisfiable subformulas in satisfiability problems. Journal of Combinatorial Optimization, 18(2), 124-150. External link
Desrosiers, C., Galinier, P., & Hertz, A. (2008). Efficient Algorithms for Finding Critical Subgraphs. Discrete Applied Mathematics, 156(2), 244-266. External link
Desrosiers, C., Galinier, P., Hansen, P., & Hertz, A. (2007, August). Improving frequent subgraph mining in the presence of symmetry [Paper]. 5th International Workshop on Mining and Learning with Graphs, Firenze, Italia. External link
Galinier, P., Hertz, A., Paroz, S., & Pesant, G. (2011). Using local search to speed up filtering algorithms for some NP-hard constraints. Annals of Operations Research, 184(1), 121-135. External link
Galinier, P., Hertz, A., & Zufferey, N. (2008). An Adaptive Memory Algorithm for the K-Coloring Problem. Discrete Applied Mathematics, 156(2), 267-279. External link
Gendron, B., Hertz, A., & St-Louis, P. (2008). On a Generalization of the Gallai-Roy-Vitaver Theorem to the Bandwidth Coloring Problem. Operations Research Letters, 36(3), 345-350. External link
Gendron, B., Hertz, A., & St-Louis, P. (2008). A Sequential Elimination Algorithm for Computing Bounds on the Clique Number of a Graph. Discrete Optimization, 5(3), 615-628. External link
Galinier, P., Hertz, A., Paroz, S., & Pesant, G. (2008, May). Using local search to speed up filtering algorithms for some NP-hard constraints [Paper]. 5th International Conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems (CPAIOR 2008), Paris, France. External link
Gamache, M., Hertz, A., & Ouellet, J. O. (2007). A Graph Coloring Model for a Feasibility Problem in Monthly Crew Scheduling With Preferential Bidding. Computers & Operations Research, 34(8), 2384-2395. External link
Gendron, B., Hertz, A., & St-Louis, P. (2007). On Edge Orienting Methods for Graph Coloring. Journal of Combinatorial Optimization, 13(2), 163-178. External link
Galinier, P., & Hertz, A. (2007). Solution Techniques for the Large Set Covering Problem. Discrete Applied Mathematics, 155(3), 312-326. External link
Gerber, M. U., Hertz, A., & Lozin, V. V. (2006). Augmenting Chains in Graphs Without a Skew Star. Journal of Combinatorial Theory: Series B, 96(3), 352-366. External link
Galinier, P., & Hertz, A. (2006). A survey of local search methods for graph coloring. Computers & Operations Research, 33(9), 2547-2562. External link
Gerber, M. U., Hertz, A., & Schindl, D. (2004). P-5-Free Augmenting Graphs and the Maximum Stable Set Problem. Discrete Applied Mathematics, 132(1-3), 109-119. External link
Gerber, M. U., Hertz, A., & Lozin, V. V. (2004). Stable Sets in Two Subclasses of Banner-Free Graphs. Discrete Applied Mathematics, 132(1-3), 121-136. External link
Galinier, P., Hertz, A., & Zufferey, N. (2002, January). Adaptative memory algorithms for graph coloring [Paper]. Computational Symposium on Graph Coloring and Generalizations (COLOR 2002), Ithaca,US. Unavailable
Gerber, M., Hansen, P., & Hertz, A. (2002). Extension of Turan's theorem to the 2-stability number. Graphs and Combinatorics, 18(3), 479-489. External link
Ghiani, G., Hertz, A., & Laporte, G. (2002). Recent algorithmic advances for arc routing problems. In Kozan, E., & Ohuchi, A. (eds.), Operations research/management science at work (Vol. 43, pp. 1-20). External link
Gerber, M. U., & Hertz, A. (2001). Transformation which preserves the clique number. Journal of Combinatorial Theory: Series B, 83(2), 320-330. External link
Hertz, A., Bonte, S., Devillez, G., Dusollier, V., Mélot, H., & Schindl, D. (2024). Extremal Chemical Graphs for the Arithmetic-Geometric Index. match Communications in Mathematical and in Computer Chemistry, 93(3), 791-818. External link
Hertz, A., Bonte, S., Devillez, G., & Melot, H. (2024). The average size of maximal matchings in graphs. Journal of Combinatorial Optimization, 47(3), 46 (34 pages). External link
Hertz, A. (2024). Graphs obtained by disjoint unions and joins of cliques and stable sets. Rairo-Operations Research, 58(3), 2631-2636. External link
Hertz, A., Mélot, H., Bonte, S., & Devillez, G. (2023). Lower bounds and properties for the average number of colors in the non-equivalent colorings of a graph. Discrete Applied Mathematics, 335, 69-81. External link
Hertz, A., Mélot, H., Bonte, S., Devillez, G., & Hauweele, P. (2023). Upper bounds on the average number of colors in the non-equivalent colorings of a graph. Graphs and Combinatorics, 39(3), 49 (22 pages). External link
Hertz, A. (2023). Graphs obtained by disjoint unions and joins of cliques and stable sets. (Technical Report n° G-2023-59). External link
Hertz, A. (2022). Decycling Bipartite Graphs. Journal of Graph Algorithms and Applications, 25(1), 461-480. External link
Hertz, A., Kuflik, T., & Tuval, N. (2021). Resolving sets and integer programs for recommender systems. Journal of Global Optimization, 81(1), 153-178. External link
Hertz, A., Hertz, A., & Melot, H. (2021). Using Graph Theory to Derive Inequalities for the Bell Numbers. Journal of Integer Sequences, 24(10), 21.10.6 (19 pages). External link
Hertz, A. (2020). An IP-based swapping algorithm for the metric dimension and minimal doubly resolving set problems in hypercubes. Optimization Letters, 14(2), 355-367. External link
Hertz, A., & Ridremont, T. (2020). A tabu search for the design of capacitated rooted survivable planar networks. Journal of Heuristics, 26(6), 829-850. External link
Hertz, A., & Picouleau, C. (2019). On graceful difference labelings of disjoint unions of circuits. Open Journal of Discrete Applied Mathematics, 2(3), 38-55. Available
Hertz, A., Montagné, R., & Gagnon, F. (2019). A comparison of integer programming models for the partial directed weighted improper coloring problem. Discrete Applied Mathematics, 261, 229-245. External link
Hauweele, P., Hertz, A., Melot, H., Ries, B., & Devillez, G. (2019). Maximum eccentric connectivity index for graphs with given diameter. Discrete Applied Mathematics, 268, 102-111. External link
Hertz, A., Lozin, V., Ries, B., Zamaraev, V., & de Werra, D. (2018). Dominating induced matchings in graphs containing no long claw. Journal of Graph Theory, 88(1), 18-39. External link
Hansen, P., Aouchiche, M., Caporossi, G., Hertz, A., & Sellal, C. (2018). Mixed integer programming and extremal chemical graphs. International Journal of Chemistry and Chemical Engineering Systems, 3, 22-30. External link
Hansen, P., Hertz, A., Sellal, C., Vukičević, D., Aouchiche, M., & Caporossi, G. (2017). Edge realizability of connected simple graphs. Match-Communications in Mathematical and in Computer Chemistry, 78(3), 689-712. External link
Hertz, A., Montagné, R., & Gagnon, F. (2017). Online algorithms for the maximum k-colorable subgraph problem. Computers & Operations Research, 91, 209-224. External link
Hertz, A., Montagné, R., & Gagnon, F. (2016). Constructive algorithms for the partial directed weighted improper coloring problem. Journal of Graph Algorithms and Applications, 20(2), 159-188. External link
Hertz, A., & Melot, H. (2016). Counting the number of non-equivalent vertex colorings of a graph. Discrete Applied Mathematics, 203, 62-71. External link
Hertz, A., Marcotte, O., Mdimagh, A., Carreau, M., & Welt, F. (2016). Design of a wind farm collection network when several cable types are available. Journal of the Operational Research Society, 68(1), 62-73. External link
Hertz, A. (2016). Dessine-moi un graphe. Accromath, 11(1), 8-13. External link
Hertz, A. (2014). Graphiti - L'inspecteur Manori enquête à Paris. Unavailable
Hertz, A., & Ries, B. (2014). A note on r-equitable k-colorings of trees. Yugoslav Journal of Operations Research, 24(2), 293-298. Available
Hertz, A., Marcotte, O., & Schindl, D. (2014). On the maximum orders of an induced forest, an induced tree, and a stable set. Yugoslav Journal of Operations Research, 24(2), 199-215. Available
Hertz, A. (2012). Quick on the draw : crime-busting with a mathematical twist. External link
Hertz, A. (2012). L'enseignement de la théorie des graphes à l'aide d'intrigues policières. Bulletin de l'APMEP, 499, 290-296. External link
Hertz, A., Uldry, M., & Widmer, M. (2012). Integer linear programming models for a cement delivery problem. European Journal of Operational Research, 222(3), 623-631. External link
Hertz, A., Marcotte, O., Mdimagh, A., Carreau, M., & Welt, F. (2012). Optimizing the Design of a Wind Farm Collection Network. INFOR, 50(2), 95-104. External link
Hertz, A. (2011). Der Graf der Graphen : Kriminalistische Verwicklungen mit mathematischer Pointe. External link
Hertz, A. (2010). L'agrapheur : intrigues policières à saveur mathématique. External link
Hertz, A., & Razanakoto, R. (2010). Confection de calendriers de matchs pour le sport universitaire et collégial au Québec. INFOR, 48(3), 181-189. External link
Hertz, A., Lahrichi, N., & Widmer, M. (2010). A flexible MILP model for multiple-shift workforce planning under annualized hours. European Journal of Operational Research, 200(3), 860-873. External link
Hertz, A., & Zufferey, N. (2010). Vertex coloring using ant colonies. In Artificial ants : from collective intelligence to real-life optimization and beyond (pp. 219-236). External link
Hansen, P., Hertz, A., Kilani, R., Marcotte, O., & Schindl, D. (2009). Average distance and maximum induced forest. Journal of Graph Theory, 60(1), 31-54. External link
Hertz, A., & Zuffery, N. (2009). La coloration des sommets d'un graphe par colonies de fourmis. In Fourmis artificielles, des bases de l'optimisation aux applications industrielles . External link
Hertz, A., Plumettaz, M., & Zufferey, N. (2009). Corrigendum to ''variable space search for graph coloring'' [discrete appl. math. 156 (2008) 2551-2560]. Discrete Applied Mathematics, 157(7), 1335-1336. External link
Hertz, A., & De Werra, A. (2009). A magnetic procedure for the stability number. Graphs and Combinatorics, 25(5), 707-716. External link
Hertz, A., & Lahrichi, N. (2009). A Patient Assignment Algorithm for Home Care Services. Journal of the Operational Research Society, 60(4), 481-495. External link
Hertz, A., Schindl, D., & Zufferey, N. (2009). A solution method for a car fleet management problem with maintenance constraints. Journal of Heuristics, 15(5), 425-450. External link
Hertz, A., & Varone, S. (2008). The Metric cutpoint partition problem. Journal of Classification, 25(2), 159-175. External link
Hertz, A., & Mittaz, M. (2008). Pickup and delivery problems with services on nodes or arcs of a network. In Operations research and networks (pp. 165-188). External link
Hertz, A., Plumettaz, M., & Zufferey, N. (2008). Variable Space Search for Graph Coloring. Discrete Applied Mathematics, 156(13), 2551-2560. External link
Hertz, A., & Varone, S. (2007). The Metric Bridge Partition Problem: Partitioning of a Metric Space Into Two Subspaces Linked by an Edge in Any Optimal Realization. Journal of Classification, 24(2), 235-249. External link
Hertz, A., & Varone, S. (2007). A Note on Tree Realizations of Matrices. RAIRO: Operations Research, 41(4), 361-366. External link
Hertz, A. (2005). Les métaheuristiques : quelques conseils pour en faire bon usage. In Baptiste, P., Giard, V., Haït, A., & Soumis, F. (eds.), Gestion de production et ressources humaines : méthodes de planification dans les systèmes productifs (pp. 205-222). External link
Hertz, A., Schindl, D., & Zufferey, N. (2005). Lower bounding and tabu search procedures for the frequency assignement problem with polarization constraints. 4OR, 3(2), 69-99. External link
Hertz, A., & Lozin, V. V. (2005). The maximum independent set problem and augmenting graphs. In Avis, D., Hertz, A., & Marcotte, O. (eds.), Graph theory and combinatorial optimization (pp. 69-100). External link
Hertz, A. Recent Trends in Arc Routing [Paper]. Haifa Workshops on Interdisciplinary Applications of Graph Theory, Combinatorics and Algorithms, Haifa, Israel. Unavailable
Hertz, A., Lozin, V., & Schindl, D. (2003). Finding Augmenting Chains in Extensions of Claw-Free Graphs. Information Processing Letters, 86(6), 311-316. External link
Hertz, A., & Widmer, M. (2003). Guidelines for the use of meta-heuristics in combinatorial optimization. European Journal of Operational Research, 151(2), 247-252. External link
Herrmann, F., & Hertz, A. (2002). Finding the chromatic number by means of critical graphs. Journal of Experimental Algorithmics, 7(10), 1-9. External link
Hertz, A. (2002). Operations research in logistics. In The essentials of logistics and management (pp. 253-279). Unavailable
Hertz, A., & Mittaz, M. (2002). Tournées de livraisons et de ramassages sur les noeuds ou les arcs d'un réseau. In Recherche opérationnelle et réseaux: méthodes d'analyse spatiale (pp. 167-189). Unavailable
Hertz, A. (2001). Application des métaheuristiques à la coloration des sommets d'un graphe. In Pirlot, M., & Teghem, J. (eds.), Résolution de problèmes de RO par les métaheuristiques (pp. 21-48). External link
Hertz, A., & Mittaz, M. (2001). Variable neighbourhood descent algorithm for the undirected capacitated arc routing problem. Transportation Science, 35(4), 425-434. External link
Herrmann, F., & Hertz, A. (2000). Finding the chromatic number by means of critical graphs. Electronic Notes in Discrete Mathematics, 5, 174-176. External link
Hertz, A., Jaumard, B., & Ribeiro, C. C. (1994). A graph theory approach to subcontracting, machine duplication and intercell moves in cellular manufacturing. Discrete Applied Mathematics, 50(3), 255-265. External link
Hertz, A., Jaumard, B., & de Aragao, M. P. Local optima topology for the k-coloring problem [Paper]. Viewpoints on Optimization; and Graph Labelling, Grimentz, Switzerland; Boston, Mass. Published in Discrete Applied Mathematics, 49(1-3). External link
Hertz, A., Jaumard, B., Ribeiro, C. C., & Formosinho Filho, W. P. (1994). A multi-criteria tabu search approach to cell formation problems in group technology with multiple objectives. RAIRO: Recherche opérationnelle, 28(3), 303-328. External link
Hansen, P., Hertz, A., & Kuplinsky, J. (1993). Bounded vertex colorings of graphs. Discrete Mathematics, 111(1-3), 305-312. External link
Kis, T., & Hertz, A. (2003). A Lower Bound for the Job Insertion Problem. Discrete Applied Mathematics, 128(2-3), 395-419. External link
Liu, D., Perreault, V., Hertz, A., & Lodi, A. (2023). A machine learning framework for neighbor generation in metaheuristic search. Frontiers in Applied Mathematics and Statistics, 9, 15 pages. Available
Lahrichi, N., Lapierre, S. D., Hertz, A., Talib, A., & Bouvier, L. (2006). Analysis of a territorial approach to the delivery of nursing home care services based on historical data. Journal of Medical Systems, 30(4), 283-291. External link
Montagné, R., Hertz, A., & Gagnon, F. (2017). A multi-cell graph based dynamic resource allocation scheme for multi-user wireless networks. AEU - International Journal of Electronics and Communications, 76, 60-70. External link
Neveu, F., Bécotte-Boutin, H.-S., Caporossi, G., Hertz, A., Leblay, C., Bergounioux, G., Côté, M. H., Fournier, J. M., Hriba, L., & Prévost, S. (2016). Analyse automatique des données scripturales prétraitées par des outils de visualization. SHS Web of Conferences, 27, 06001 (18 pages). Available
Perreault, V., Hertz, A., & Lodi, A. (2023). Tactical wireless network design with multi-beam antennas. (Technical Report n° G-2023-34). External link
Pepin, A.-S., Desaulniers, G., Hertz, A., & Huisman, D. (2009). A comparison of five heuristics for the multiple depot vehicle scheduling problem. Journal of Scheduling, 12(1), 17-30. External link
Randel, R., Aloise, D., & Hertz, A. (2023, April). A Lagrangian-based approach to learn distance metrics for clustering with minimal data transformation [Paper]. SIAM International Conference on Data Mining (SDM 2023), Minneapolis, MN, USA. External link
Randel, R., Aloise, D., Blanchard, S. J., & Hertz, A. (2021). A Lagrangian-based score for assessing the quality of pairwise constraints in semi-supervised clustering. Data Mining and Knowledge Discovery, 35(6), 2341-2368. Available
Randel, R., Aloise, D., & Hertz, A. (2021). Exploring dual information in distance metric learning for clustering. (Technical Report n° G-2021-32). External link
Rybarczyk, A., Hertz, A., Kasprzak, M., & Blazewicz, J. (2017). Tabu search for the RNA partial degradation problem. International Journal of Applied Mathematics and Computer Science, 27(2), 401-415. Available
St-Louis, P., Gendron, B., & Hertz, A. (2012). Total domination and the Caccetta–Häggkvist conjecture. Discrete Optimization, 9(4), 236-240. External link
Widmer, M., Hertz, A., & Costa, D. (2008). Metaheuristics and Scheduling. In Production Scheduling (pp. 33-68). External link