A Stable Set Formulation for the Equitable Coloring Problem

Published Online:https://doi.org/10.1287/ijoc.2025.1294

References

  • Bahiense L, Frota Y, Noronha TF, Ribeiro CC (2014) A branch-and-cut algorithm for the equitable coloring problem using a formulation by representatives. Discrete Appl. Math. 164(1):34–46.CrossrefGoogle Scholar
  • Chen BL, Yen CH (2012) Equitable Δ-coloring of graphs. Discrete Math. 312(9):1512–1517.CrossrefGoogle Scholar
  • Das SK, Finocchi I, Petreschi R (2006) Conflict-free star-access parallel memory systems. J. Parallel Distrib. Comput. 66(11):1431–1441.CrossrefGoogle Scholar
  • Furmańczyk H (2005) The complexity of equitable vertex coloring of graphs. J. Appl. Comput. Sci. 13(2):95–107.Google Scholar
  • Furmańczyk H (2006) Equitable coloring of graph products. Opuscula Math. 26(1):31–44.Google Scholar
  • Furmańczyk H, Jastrzebski A, Kubale M (2016) Equitable coloring of graphs. Recent theoretical results and new practical algorithms. Arch. Control Sci. 26(3):281–295.CrossrefGoogle Scholar
  • Gomes GCM, Guedes MR, dos Santos VF (2023) Structural parameterizations for equitable coloring: Complexity, FPT algorithms, and kernelization. Algorithmica 85(7):1912–1947.CrossrefGoogle Scholar
  • Hajnal A, Szemerédi E (1970) Proof of a conjecture of P. Erdos. Erdos P, Renyi A, Sos VT, eds. Combinatorial Theory and its Application (North Holland Publishing Company, Amsterdam), 601–623.Google Scholar
  • Held S, Cook W, Sewell EC (2012) Maximum-weight stable sets and safe lower bounds for graph coloring. Math. Programming Comput. 4:363–381.CrossrefGoogle Scholar
  • Kierstead HA, Kostochka AV, Mydlarz M, Szemerédi E (2010) A fast algorithm for equitable coloring. Combinatorica 30(2):217–224.CrossrefGoogle Scholar
  • Lai X, Hao JK, Glover F (2015) Backtracking based iterated tabu search for equitable coloring. Engrg. Appl. Artificial Intelligence 46(A):269–278.CrossrefGoogle Scholar
  • Lih KW (2013) Equitable coloring of graphs. Du DZ, Pardalos PM, eds. Handbook of Combinatorial Optimization (Springer, Berlin, Heidelberg) 1199–1248.CrossrefGoogle Scholar
  • Mehrotra A, Trick MA (1996) A column generation approach for graph coloring. INFORMS J. Comput. 8(4):344–354.LinkGoogle Scholar
  • Méndez-Díaz I, Nasini G, Severín D (2014a) A tabu search heuristic for the equitable coloring problem. Fouilhoux P, Gouveia L, Mahjoub A, Paschos V, eds. Internat. Sympos. Combinatorial Optim. LNCS, vol. 8596 (Springer, Berlin, Heidelberg), 347–358.CrossrefGoogle Scholar
  • Méndez-Díaz I, Nasini G, Severín D (2014b) A polyhedral approach for the equitable coloring problem. Discrete Appl. Math. 164:413–426.CrossrefGoogle Scholar
  • Méndez-Díaz I, Nasini G, Severín D (2015) A DSATUR-based algorithm for the equitable coloring problem. Comput. Oper. Res. 57:41–50.CrossrefGoogle Scholar
  • Meyer W (1973) Equitable coloring. Amer. Math. Monthly 80(8):920–922.CrossrefGoogle Scholar
  • Olariu EF, Frăsinaru C (2022) Improving lower bounds for equitable chromatic number. Comput. Oper. Res. 143:105790.CrossrefGoogle Scholar
  • Olariu EF, Frăsinaru C (2026) A stable set formulation for the Equitable Coloring Problem. INFORMS J. Comput. https://doi.org/10.1287/ijoc.2025.1294.cd, https://github.com/INFORMSJoC/2025.1294.CrossrefGoogle Scholar
  • Sun W, Hao JK, Lai X, Wu Q (2017) On feasible and infeasible search for equitable graph coloring. GECCO ‘17: Proc. Genetic Evolutionary Computat. Conf. (Association for Computing Machinery, New York), 369–376.Google Scholar
  • Sun W, Hao JK, Wang W, Wu Q (2020) Memetic search for the equitable coloring problem. Knowl. Based Systems 188:105000.CrossrefGoogle Scholar
  • Wang W, Hao JK, Wu Q (2018) Tabu search with feasible and infeasible searches for equitable colouring. Engrg. Appl. Artificial Intelligence 71:1–14.CrossrefGoogle Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.