| Issue |
RAIRO-Oper. Res.
Volume 57, Number 4, July-August 2023
Graphs, Combinatorics, Algorithms and Optimization
|
|
|---|---|---|
| Page(s) | 1821 - 1841 | |
| DOI | https://doi.org/10.1051/ro/2023062 | |
| Published online | 14 July 2023 | |
- E. Balas and J. Xue, Weighted and unweighted maximum clique algorithms with upper bounds from fractional coloring. Algorithmica 15 (1996) 397–412. [CrossRef] [MathSciNet] [Google Scholar]
- D. Brélaz, New methods to color the vertices of a graph. Commun. ACM 22 (1979) 251–256. [CrossRef] [Google Scholar]
- M. Campêlo and R.C. Corrêa, A combined parallel lagrangian decomposition and cutting-plane generation for maximum stable set problems. Elec. Notes Discrete Math. 36 (2010) 503–510. [CrossRef] [Google Scholar]
- M. Campêlo, V.A. Campos and R.C. Corrêa, On the asymmetric representatives formulation for the vertex coloring problem. Discrete Appl. Math. 156 (2008) 1097–1111. [CrossRef] [MathSciNet] [Google Scholar]
- M. Campêlo, V.A. Campos and R.C. Corrêa, Um algoritmo de planos-de-corte para o número cromático fracionário de um grafo. Pesqui. Operacional 29 (2009) 179–193. [CrossRef] [Google Scholar]
- A. Caprara, M. Fischetti and P. Toth, A heuristic method for the set covering problem. Oper. Res. 47 (1995) 730–743. [Google Scholar]
- F.C. Chow and J.L. Hennessy, The priority-based coloring approach to register allocation. ACM Trans. Program. Lang. Syst. 12 (1990) 501–536. [CrossRef] [Google Scholar]
- F. Clarke and R. Jamison, Multicolorings, measures and games on graphs. Discrete Math. 14 (1976) 241–245. [CrossRef] [MathSciNet] [Google Scholar]
- D. de Werra, An introduction to timetabling. Eur. J. Oper. Res. 19 (1985) 151–162. [CrossRef] [Google Scholar]
- Z. Dvořák and X. Hu, Fractional coloring of planar graphs of girth five. SIAM J. Discrete Math. 34 (2020) 538–555. [CrossRef] [MathSciNet] [Google Scholar]
- Z. Dvořák, J.-S. Sereni and J. Volec, Subcubic triangle-free graphs have fractional chromatic number at most 14/5. J. London Math. Soc. 89 (2014) 641–662. [CrossRef] [MathSciNet] [Google Scholar]
- A. Gamst, Some lower bounds for a class of frequency assignment problems. IEEE Trans. Veh. Technol. 35 (1986) 8–14. [CrossRef] [Google Scholar]
- M.R. Garey and D.S. Johnson, Computers and Intractability; A Guide to the Theory of NP-Completeness. W.H. Freeman & Co., New York, NY, USA (1990). [Google Scholar]
- J. Gimbel, A. Kündgen, B. Li and C. Thomassen, Fractional coloring methods with applications to degenerate graphs and graphs on surfaces. SIAM J. Discrete Math. 33 (2019) 1415–1430. [CrossRef] [MathSciNet] [Google Scholar]
- A.M. Gleixner, D.E. Steffy and K. Wolter, Iterative refinement for linear programming. INFORMS J. Comput. 28 (2016) 449–464. [CrossRef] [MathSciNet] [Google Scholar]
- N. Gvozdenovic, Approximating the stability number and the chromatic number of a graph via semidefinite programming. Ph.D. thesis, Faculty of Science (2008). [Google Scholar]
- P. Hell and F. Roberts, Analogues of the shannon capacity of a graph. Ann. Discrete Math. 12 (1982) 155–168. [Google Scholar]
- A. Hilton, R. Rado and S. Scott, A (≤5)-color theorem for planar graphs. Bull. London Math. Soc. 5 (1973) 302–306. [CrossRef] [MathSciNet] [Google Scholar]
- R.v.d. Hulst, A branch-price-and-cut algorithm for graph coloring. Master’s thesis, University of Twente, The Netherlands (2021). [Google Scholar]
- R. Klasing, N. Morales and S. Pérennes, On the complexity of bandwidth allocation in radio networks. Theor. Comput. Sci. 406 (2008) 225–239. [CrossRef] [Google Scholar]
- M. Larsen, J. Propp and D. Ullman, The fractional chromatic number of mycielski’s graphs. J. Graph Theory 19 (1995) 411–416. [CrossRef] [MathSciNet] [Google Scholar]
- A.N. Letchford and P. Ventura, Strengthened clique-family inequalities for the stable set polytope. Oper. Res. Lett. 49 (2021) 586–589. [CrossRef] [MathSciNet] [Google Scholar]
- C. Lund and M. Yannakakis, On the hardness of approximating minimization problems. J. ACM 41 (1994) 960–981. [CrossRef] [Google Scholar]
- A. Mehrotra and M.A. Trick, A column generation approach for graph coloring. Informs J. Comput. 8 (1996) 344–354. [CrossRef] [Google Scholar]
- F. Pirot and J.-S. Sereni, Fractional chromatic number, maximum degree, and girth. SIAM J. Discrete Math. 35 (2021) 2815–2843. [CrossRef] [MathSciNet] [Google Scholar]
- S. Rebennack, M. Oswald, D.O. Theis, H. Seitz, G. Reinelt and P.M. Pardalos, A branch and cut solver for the maximum stable set problem. J. Comb. Optim. 21 (2011) 434–457. [CrossRef] [MathSciNet] [Google Scholar]
- C.R. Reeves, Modern Heuristic Techniques for Combinatorial Problems. Halsted Press, New York (1993). [Google Scholar]
- F. Rossi and S. Smriglio, A branch-and-cut algorithm for the maximum cardinality stable set problem. Oper. Res. Lett. 28 (2001) 63–74. [CrossRef] [MathSciNet] [Google Scholar]
- Y. Saad, Iterative Methods for Sparse Linear Systems. Second edition. Society for Industrial and Applied Mathematics (2003). [Google Scholar]
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