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@article{MZM_2000_67_2_a12, author = {A. A. Chernyak}, title = {Domination of cyclic monotone $(s,t)$-graphs}, journal = {Matemati\v{c}eskie zametki}, pages = {288--294}, publisher = {mathdoc}, volume = {67}, number = {2}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2000_67_2_a12/} }
A. A. Chernyak. Domination of cyclic monotone $(s,t)$-graphs. Matematičeskie zametki, Tome 67 (2000) no. 2, pp. 288-294. http://geodesic.mathdoc.fr/item/MZM_2000_67_2_a12/
[1] Satyanarayana A., Prabhakar A., “New topological formula and rapid algorithm for reliability analysis of complex networks”, IEEE Trans. Reliability, 27 (1978), 82–100 | MR | Zbl
[2] Huseby A. B., “Domination theory and Crapo $b$-invariant”, Networks, 19 (1989), 135–149 | DOI | MR | Zbl
[3] Satyanarayana A., Chang M. K., “Network reliability and the factoring theorem”, Networks, 13 (1983), 107–120 | DOI | MR | Zbl
[4] Huseby A. B., A unified theory of domination and signed domination with application to exact reliability computations, Tech. Rep. 3, Institute of Math., Oslo, 1983
[5] Hagstorm J. N., “Directed network reliability: domination and computing coefficients of the success-marginal expansion”, Networks, 20 (1990), 65–78 | DOI | MR
[6] Barlow R. E., Iyer S., “Computational complexity of coherent systems and the reliability polynomial”, Probab. Engrg. Inform. Sci., 2 (1988), 461–469
[7] Kahn J., Sturtevant D., Möbius inversion and directed network reliability, Tech. Rep., Rutgers Univ., New Brunswick, 1983
[8] Rodriguez J., Traldi L., “$(K,j)$-domination and $(K,j)$-reliability”, Networks, 30 (1997), 293–306 | 3.0.CO;2-E class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl
[9] Chernyak A. A., “A new graph-combinatorial method for reliability analysis of monotone graphs”, Proc. 8th Internat. Sympos. Reliability, V. 1, Budapest, 1991, 135–140
[10] Satyanarayana A., “A unified formula for analysis of some network reliability problems”, IEEE Trans. Reliability, 31 (1982), 23–32 | Zbl
[11] Satyanarayana A., Hagstorm J. N., “A new algorithm for the reliability analysis of multi-terminal networks”, IEEE Trans. Reliability, 30 (1981), 325–334 | Zbl
[12] Baikhelt F., Franken P., Nadezhnost: matematicheskii podkhod, Radio i svyaz, M., 1988
[13] Chernyak A. A., “Atsiklicheskie monotonnye grafy: dominirovanie i nadezhnost”, Vestsi NAN Belarusi. Ser. fiz.-tekhn. navuk, 1998, no. 3, 108–114
[14] Chernyak A. A., Chernyak Zh. A., “A unified domination approach for reliability analysis for networks with arbitrary logic in vertices”, IEEE Trans. Reliability, 45 (1996), 114–119 | DOI
[15] Chernyak A. A., “Kombinatorno-grafovyi metod analiza nadezhnosti slozhnykh sistem s monotonnymi bulevymi funktsiyami”, Avtomatika i telemekhanika, 1991, no. 4, 165–174 | MR | Zbl
[16] Ball V. O., Provan J. S., “Calculating bounds on reachability and connectedness in stochastic networks”, Networks, 13 (1981), 253–278 | DOI
[17] Willie R. R., “A theorem concerning cyclic directed graphs with application to network reliability”, Networks, 10 (1980), 71–78 | DOI | MR | Zbl
[18] Valiant L. G., “The complexity of enumeration and reliability problems”, SIAM J. Comput., 8 (1979), 410–421 | DOI | MR | Zbl
[19] Geri M., Dzhonson D., Vychislitelnye mashiny i trudnorazreshimye zadachi, Mir, M., 1982
[20] Chernyak A. A., Chernyak Zh. A., “Note on complexity of computing the domination of binary systems”, Discrete Appl. Math., 73 (1997), 289–295 | DOI | MR | Zbl