Open Access
Issue
RAIRO-Oper. Res.
Volume 56, Number 2, March-April 2022
Page(s) 565 - 582
DOI https://doi.org/10.1051/ro/2022027
Published online 25 March 2022
  • F. Abu-Khzam and P. Heggernes, Enumerating minimal dominating sets in chordal graphs. Inf. Process. Lett. 116 (2016) 739–743. [CrossRef] [Google Scholar]
  • M.I. Andreou, V.G. Papadopoulou, P.G. Spirakis, B. Theodorides and A. Xeros, Generating and radiocoloring families of perfect graphs. In: Experimental and Efficient Algorithms. Springer (2005) 302–314. [CrossRef] [Google Scholar]
  • J.R.S. Blair and B.W. Peyton, An introduction to chordal graphs and clique trees. In: Graph Theory and Sparse Matrix Computations. IMA in Math. Appl., Vol. 56. Springer (1993) 1–27. [CrossRef] [Google Scholar]
  • M. Bougeret, N. Bousquet, R. Giroudeau and R. Watrigant, Parameterized complexity of the sparsest k-subgraph problem in chordal graphs. SOFSEM. Springer (2014) 150–161. [Google Scholar]
  • A. Brandstädt, V.B. Le and J. Spinrad, Graph Classes: A Survey. SIAM Monographs on Discrete Mathematics and Applications (1999). [Google Scholar]
  • P. Buneman, A characterisation of rigid circuit graphs. Disc. Math. 9 (1974) 205–212. [CrossRef] [Google Scholar]
  • G.A. Dirac, On rigid circuit graphs. Ann. Math. Sem. Univ. Hamburg 25 (1961) 71–76. [CrossRef] [Google Scholar]
  • T. Ekim, M. Shalom and O. Şeker, The complexity of subtree intersection representation of chordal graphs and linear time chordal graph generation. J. Comb. Optim. 41 (2021) 710–735. [CrossRef] [MathSciNet] [Google Scholar]
  • D. Fulkerson and O. Gross, Incidence matrices and interval graphs. Pac. J. Math. 15 (1965) 835–855. [CrossRef] [Google Scholar]
  • F. Gavril, Algorithms for minimum coloring, maximum clique, minimum covering by cliques, and maximum independent set of a chordal graph. SIAM J. Comp. 1 (1972) 180–187. [CrossRef] [Google Scholar]
  • F. Gavril, The intersection graphs of subtrees in trees are exactly the chordal graphs. J. Comb. Th. B 16 (1974) 47–56. [Google Scholar]
  • P. Golovach, P. Heggernes, D. Kratsch and R. Saei, An exact algorithm for Subset Feedback Vertex Set on chordal graphs. J. Disc. Alg. 26 (2014) 7–15. [Google Scholar]
  • P. Golovach, P. Heggernes and D. Kratsch, Enumerating minimal connected dominating sets in graphs of bounded chordality. Theor. Comput. Sci. 630 (2016) 63–75. [CrossRef] [Google Scholar]
  • M.C. Golumbic, Algorithmic Graph Theory and Perfect Graphs. Ann. Disc. Math. Vol. 57. Elsevier (2004). [Google Scholar]
  • A. Hajnal and J. Surányi, Über die Auflösung von Graphen in vollständige Teilgraphen. Ann. Univ. Sci. Budapest (1958) 113–121. [Google Scholar]
  • G.H. Hardy and J.E. Littlewood, Some problems of diophantine approximation: Part II. The trigonometrical series associated with the elliptic ν-functions. Acta Math. 37 (1914) 193–239. [CrossRef] [MathSciNet] [Google Scholar]
  • P. Heggernes, Minimal triangulations of graphs: a survey. Disc. Math. 306 (2006) 297–317. [CrossRef] [Google Scholar]
  • D.E. Knuth, The Art of Computer Programming: Seminumerical Algorithms. Vol. 2, Chapter 4. Addison-Wesley (1969). [Google Scholar]
  • D. Loksthanov, Dagstuhl Seminar 14071 “Graph Modification Problems (2014). [Google Scholar]
  • G.S. Lueker and K.S. Booth, A linear time algorithm for deciding interval graph isomorphism. JACM 26 (1979) 183–195. [CrossRef] [Google Scholar]
  • L. Markenzon, O. Vernet and L.H. Araujo, Two methods for the generation of chordal graphs. Ann. Oper. Res. 157 (2008) 47–60. [Google Scholar]
  • D. Marx, Parameterized coloring problems on chordal graphs. Theor. Comput. Sci. 351 (2006) 407–424. [CrossRef] [Google Scholar]
  • N. Misra, F. Panolan, A. Rai, V. Raman and S. Saurabh, Parameterized Algorithms for Max Colorable Induced Subgraph Problem on Perfect Graphs, LNCS, vol. 8165 Springer (2013) 370–381. [Google Scholar]
  • J. Pearl, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann (2014). [Google Scholar]
  • S.V. Pemmaraju, S. Penumatcha and R. Raman, Approximating interval coloring and max-coloring in chordal graphs. J. Exp. Alg. 10 (2005) 2–8. [Google Scholar]
  • A.S. Rodionov and H. Choo, On generating random network structures: trees. International Conference on Computational Science. LNCS, Vol. 2658. Springer (2003) 879–887. [Google Scholar]
  • D.J. Rose, A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations. Graph Theory Comput. 183 (1972) 217. [Google Scholar]
  • D.J. Rose, R.E. Tarjan and G.S. Lueker, Algorithmic aspects of vertex elimination on graphs. SIAM J. Comp. 5 (1976) 266–283. [CrossRef] [Google Scholar]
  • O. Şeker, P. Heggernes, T. Ekim and Z.C. Taşkn, Linear-time generation of random chordal graphs. In: Algorithms and Complexity: 10th International Conference, CIAC 2017, LNCS, Vol. 10236. Springer (2017) 442–453. [Google Scholar]
  • J.P. Spinrad, Efficient Graph Representations. Fields Institute Monograph Series. Vol. 19. AMS (2003). [Google Scholar]
  • R.E. Tarjan, Data Structures and Network Algorithms. SIAM, Philadelphia, (1983). [CrossRef] [Google Scholar]

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