Facets of the graph coloring polytope
2002, Annals of Operations Research 116, 79-90, 2002Citas: 67
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Autor(es)
Pablo Coll and Javier Marenco and Isabel Méndez Díaz and Paula Zabala
Abstract
In this paper we present a study of the polytope associated to a classic linear integer programming formulation of the graph coloring problem. We determine some families of facets. This is the initial step for the development of a branch-and-cut algorithm to solve large instances of the graph coloring problem.
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# | Año | #Citas | Título | Autores | Journal | Editor |
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1 | 2010 | 335 | A supernodal formulation of vertex colouring with applications in course timetabling | EK Burke, J Mareček, AJ Parkes, H Rudová | Annals of Operations …, 2010 | Springer |
2 | 2006 | 279 | A branch-and-cut algorithm for graph coloring | I Méndez-Díaz, P Zabala | Discrete Applied Mathematics, 2006 | Elsevier |
3 | 2013 | 105 | Minimizing warehouse space with a dedicated storage policy | A Fumi, L Scarabotti… | International Journal of …, 2013 | journals.sagepub.com |
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7 | 2013 | 96 | Dual connectivity in LTE HetNets with split control-and user-plane | A Zakrzewska, D López-Pérez… | 2013 IEEE …, 2013 | ieeexplore.ieee.org |
8 | 2012 | 94 | A branch-and-cut procedure for the Udine course timetabling problem | EK Burke, J Mareček, AJ Parkes, H Rudová | Annals of Operations …, 2012 | Springer |
9 | 2009 | 73 | Set covering and packing formulations of graph coloring: Algorithms and first polyhedral results | P Hansen, M Labbé, D Schindl | Discrete Optimization, 2009 | Elsevier |
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20 | 2020 | 7 | Symmetry-breaking inequalities for ILP with structured sub-symmetry | P Bendotti, P Fouilhoux, C Rottner | Mathematical Programming, 2020 | Springer |
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27 | 2005 | 16 | Set covering and packing formulations of graph coloring: algorithms and first polyhedral results | P Hansen, M Labbé, D Schindl | 2005 | Citeseer |
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29 | 2016 | 8 | Polyhedral studies of vertex coloring problems: The standard formulation | D Delle Donne, J Marenco | Discrete Optimization, 2016 | Elsevier |
30 | 2015 | 6 | Branch-and-cut algorithms for graph problems | B Yüceoglu | 2015 | cris.maastrichtuniversity.nl |
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32 | 2015 | 5 | Polyhedral studies of vertex coloring problems: The asymmetric representatives formulation | V Campos, RC Corrêa, DD Donne, J Marenco… | arXiv preprint arXiv …, 2015 | arxiv.org |
33 | 2022 | 1 | Handling sub-symmetries in integer linear programming using activation handlers | S Wessel, T Verhoeff, CAJ Hurkens | Master's thesis, Eindhoven …, 2022 | assets.w3.tue.nl |
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38 | 2023 | 0 | J Staszek | 2023 | Dissertation, Erlangen, Friedrich … | |
39 | 2018 | 2 | Cache placement phase based on graph coloring | M Javedankherad, Z Zeinalpour-Yazdi… | 2018 9th International …, 2018 | ieeexplore.ieee.org |
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41 | 2019 | 2 | Sub-symmetry-breaking inequalities for ILP with structured symmetry | P Bendotti, P Fouilhoux, C Rottner | … Conference, IPCO 2019, Ann Arbor, MI …, 2019 | Springer |
42 | 2022 | 0 | Minimum Conflict Balanced Graph Coloring Problem | NE Hanoğlu | 2022 | search.proquest.com |
43 | 2015 | 2 | Evaluation of transparent optical multiplexing techniques in transport networks | I Popescu | 2015 | hal.science |
44 | 2014 | 2 | Mixed Integer Linear Programming Models for Combinatorial Optimization Problems | F Della Croce | Concepts of Combinatorial Optimization, 2014 | Wiley Online Library |
45 | 2007 | 6 | Optimised grid-partitioning for block structured grids in parallel computing | D Junglas | 2007 | tuprints.ulb.tu-darmstadt.de |
46 | 2017 | 1 | Bilevel Clique Interdiction and Related Problems | T Becker | 2017 | repository.rice.edu |
47 | 2006 | 2 | On forests, stable sets and polyhedra associated with clique partitions | D Cornaz | Manuscript available on Optimization Online, 2006 | optimization-online.org |
48 | 2016 | 1 | A polyhedral investigation of star colorings | C Hojny, ME Pfetsch | Discrete Applied Mathematics, 2016 | Elsevier |
49 | 2013 | 1 | 4G and Beyond-Exploiting Heterogeneity in Mobile Networks | A Zakrzewska | 2013 | orbit.dtu.dk |
50 | 2013 | 1 | Branch and price for a reliability oriented darp model | A Quilliot, S Deleplanque, B Benoit | 2013 | hal.science |
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52 | 2012 | 2 | Finite-domain cuts for graph coloring | D Bergman, JN Hooker | 2012 | Citeseer |
53 | 2017 | 0 | Exact algorithms for the Vertex Coloring Problem and its generalisations | IC Ternier | 2017 | theses.hal.science |
54 | 0 | Master Degree Thesis Report | I Popescu, I Cerutti, N Sambo | researchgate.net | ||
55 | 2015 | 0 | Decomposition of Integer Programs with Matchability Structure | F Dahms | 2015 | fdahms.com |
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57 | 0 | 11vo Simposio Argentino de Investigacion Operativa, SIO 2013 | D Delle Donnea, J Marencob | academia.edu | ||
58 | 2009 | 0 | Quotient and power methods for the graph colouring problem | I Juhos | 2009 | doktori.bibl.u-szeged.hu |
59 | 0 | Graph Coloring via Constraint Programming-based Column Generation | SGF Malucelli | researchgate.net | ||
60 | 0 | Univerzitní rozvrhování pomocí celoˇcíselného programování | J Marecek | is.muni.cz | ||
61 | 2012 | 1 | Estudio poliedral y algoritmo branch-and-cut para el problema de coloreo equitativo en grafos | DE Severin | 2012 | bibliotecadigital.exactas.uba.ar |
62 | 2012 | 1 | 組合せ最適化問題に対する効率的な厳密解法のための問題の記述法に関する研究 | 乾伸雄 | (No Title), 2012 | ir.soken.ac.jp |
63 | 2008 | 1 | Limites inferiores para o problema de coloração de vértices via geração de cortes e colunas | CD Rodrigues | 2008 | repositorio.ufc.br |
64 | 2015 | 0 | MG Vilas Boas | 2015 | ||
65 | 2013 | 0 | Polyhedral studies on vertex coloring problems | D Delle Donne, J Marenco | XI Simposio Argentino de …, 2013 | sedici.unlp.edu.ar |
66 | 0 | 組み合わせ最適化問題に対する効率的な厳密解法のための問題の記述法に関する研究 | 乾伸雄, イヌイノブオ | ir.soken.ac.jp | ||
67 | 2013 | 0 | Mixed Integer Linear Programming Models for Combinatorial Optimization Problems | FD Croce | Concepts of Combinatorial Optimization, 2013 | Wiley Online Library |
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