@article{UZKU_2009_151_2_a12,
author = {R. G. Mubarakzjanov},
title = {On the {Complexity} of {Randomized} {Read-once} {Branching} {Programs}},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {107--113},
year = {2009},
volume = {151},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a12/}
}
TY - JOUR AU - R. G. Mubarakzjanov TI - On the Complexity of Randomized Read-once Branching Programs JO - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki PY - 2009 SP - 107 EP - 113 VL - 151 IS - 2 UR - http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a12/ LA - ru ID - UZKU_2009_151_2_a12 ER -
R. G. Mubarakzjanov. On the Complexity of Randomized Read-once Branching Programs. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 2, pp. 107-113. http://geodesic.mathdoc.fr/item/UZKU_2009_151_2_a12/
[1] Wegener I., Branching Programs and Binary Decision Diagrams: Theory and Applications, SIAM Monographs on Discrete Mathematics and Applications, Soc. Ind. Appl. Math., Philadelphia, USA, 2000, 408 pp. | MR | Zbl
[2] Ablayev F., Karpinski M., “On the power of randomized ordered branching programs”, Proc. ICALP' 96, Lecture Notes Comput. Sci., 1099, Springer, 1996, 348–356 | DOI | MR | Zbl
[3] Ablayev F., Karpinski M., Mubarakzjanov R., “On $BPP$ versus $NP\cup coNP$ for Ordered Read-Once Branching Programs”, Theoret. Comp. Sci., 264 (2001), 127–137 | DOI | MR | Zbl
[4] Ablayev F., “Randomization and nondeterminism are incomparable for ordered read-once branching programs”, Proc. ICALP' 97, Lecture Notes Comput. Sci., 1256, Springer, 1997, 195–202 | DOI | MR
[5] Ablayev F., Karpinski M., A lower bound for integer multiplication on randomized read-once branching programs, Electronical Colloquium on Computational Complexity: ECCC TR98-011, Trier University, Trier, 1998 ; http://www.eccc.uni-trier.de/ECCC/ | Zbl
[6] Mubarakzyanov R. G., “Nizhnie otsenki slozhnosti veroyatnostnykh binarnykh programm s bolshoi uporyadochennoi chastyu”, Izv. vuzov. Matem., 2006, no. 6, 56–64 | MR | Zbl
[7] Gergov J., Meinel C., “Efficient Boolean manipulation with $OBDD$s can be extended to $FBDD$s”, IEEE Trans. on Computers, 43 (1994), 1197–1209 | DOI | Zbl
[8] Sieling D., Wegener I., “Graph driven BDDs – a new data structure for Boolean functions”, Theoret. Comp. Sci., 141 (1995), 283–310 | DOI | MR | Zbl
[9] Bollig B., “Restricted nondeterministic read-once branching programs and an exponential lower bound for integer multiplication”, RAIRO Theoretical Informatics and Applications, 35 (2001), 149–162 | DOI | MR | Zbl
[10] Bollig B., Woelfel Ph., “A lower bound technique for nondeterministic graph-driven read-once branching programs and its applications”, Proc. of MFCS, Lecture Notes Comput. Sci., 2420, Springer, 2002, 131–142 | DOI | MR | Zbl
[11] Bollig B., Waack S., Woelfel Ph., “Parity graph-driven read-once branching programs and an exponential lower bound for integer multiplication”, Proc. of IFIP 2nd Int. Conf. on Theoretical Computer Science, 2002, 83–94
[12] Chernoff H., “A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations”, Ann. Math. Stat., 23 (1952), 493–509 | DOI | MR