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ЖУРНАЛЫ // Журнал Средневолжского математического общества

Журнал СВМО, 2016, том 18, номер 3, страницы 19–31 (Mi svmo603)

Сложность некоторых задач на графах с ограниченными минорами их матриц ограничений
Д. В. Грибанов, Д. С. Малышев

Список литературы

1. V. E. Alekseev, D. V. Zakharova, “Independent sets in the graphs with bounded minors of the extended incidence matrix”, Journal of Applied and Industrial Mathematics, 5:1 (2011), 14–18  crossref  mathscinet  scopus
2. S. Arnborg, A. Proskurowski, “Linear time algorithms for NP-hard problems restricted to partial $k$-trees”, Discrete Applied Mathematics, 23:1 (1989), 11–-24  crossref  mathscinet  zmath  scopus
3. S. Artmann, F. Eisenbrand, C. Glanzer, T. Oertel, S. Vempala, R. Weismantel, A note on non-degenerate integer programs with small sub-determinants, arXiv: 1603.09595v1  mathscinet
4. R. Boliac, V. Lozin, “On the clique-width of graphs in hereditary classes”, Lecture Notes in Computer Science, 2518, 2002, 44–54  crossref  mathscinet  zmath  scopus
5. A. Brandstädt, F. F. Dragan, “On linear and circular structure of (claw, net)-free graphs”, Discrete Applied Mathematics, 129:2–3 (2003), 285–303  crossref  mathscinet  zmath
6. B. Courcelle, J. Makowsky, U. Rotics, “Linear time solvable optimization problems on graphs of bounded clique-width”, Theory of Computing Systems, 33:2 (2000), 125–150  crossref  mathscinet  zmath  scopus
7. R. M. Gray, “Toeplitz and circulant matrices: a review”, Foundations and Trends in Communications and Information Theory, 2:3 (2006), 155–239  crossref  scopus
8. N. Karmarkar, “A new polynomial time algorithm for linear programming”, Combinatorica, 4:4 (1984), 373–395  crossref  mathscinet  zmath  scopus
9. L. G. Khachiyan, “Polynomial algorithms in linear programming”, USSR Computational Mathematics and Mathematical Physics, 20:1 (1980), 53–72  mathnet  crossref  mathscinet  zmath  scopus
10. D. Kobler, U. Rotics, “Edge dominating set and colorings on graphs with fixed clique-width”, Discrete Applied Mathematics, 126:2–3 (2003), 197–221  crossref  mathscinet  zmath  scopus
11. Y. E. Nesterov, A. S. Nemirovsky, Interior point polynomial methods in convex programming, SIAM, 1994  mathscinet
12. P. M. Pardalos, C. G. Han, Y. Ye, “Interior point algorithms for solving nonlinear optimization problems”, COAL Newsletter, 19 (1991), 45–54
13. B. Reed, “Mangoes and Blueberries”, Combinatorica, 19:2 (1999), 267–296  crossref  mathscinet  zmath
14. V. N. Shevchenko, Qualitative topics in integer linear, AMS, 1997  mathscinet
15. S. I. Veselov, A. J. Chirkov, “Integer program with bimodular matrix”, Discrete Optimization, 6:2 (2009), 220–222  crossref  mathscinet  zmath  elib  scopus
16. S. H. Whitesides, “A method for solving certain graph recognition and optimization problems, with applications to perfect graphs.”, Annals of Discrete Mathematics, 88 (1984), 281–297  mathscinet


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