منابع مشابه
Refutation of Aslam's Proof that NP = P
Aslam presents an algorithm he claims will count the number of perfect matchings in any incomplete bipartite graph with an algorithm in the function-computing version of NC, which is itself a subset of FP. Counting perfect matchings is known to be #P-complete; therefore if Aslam's algorithm is correct, then NP=P. However, we show that Aslam's algorithm does not correctly count the number of per...
متن کاملNP versus P : A proof that NP is not equaled to P
This proof of P ≠ NP is based on better estimates of lower bounds on the time complexity that hold for all solution algorithms. Almost no special knowledge is needed to understand the proof. A short review of the main steps and ideas of the proof can be seen in the Introduction below.
متن کاملconjugate $p$-elements of full support that generate the wreath product $c_{p}wr c_{p}$
for a symmetric group $g:=sym(n)$ and a conjugacy class $mathcal{x}$ of involutions in $g$, it is known that if the class of involutions does not have a unique fixed point, then - with a few small exceptions - given two elements $a,x in mathcal{x}$, either $angbrac{a,x}$ is isomorphic to the dihedral group $d_{8}$, or there is a further element $y in mathcal{x}$ such that $angbrac{a,y} cong ang...
متن کاملP ≠ RP Proof
This paper demonstrates that P ≠ RP. The way was to generalize the traditional definitions of the classes P and RP, to construct an artificial problem (Maj2/3-XG-SAT) and then to demonstrate that it is in RP but not in P (where the classes P and RP are generalized and called too simply P and RP in this paper, and then it is explained why the traditional classes P and RP should be fixed and repl...
متن کاملResearch Announcement: a Computer-generated Proof That P=np
Doron ZEILBERGER Abstract: Using 3000 hours of CPU time on a CRAY machine, we settle the notorious P vs. NP problem in the affirmative, by presenting a “polynomial” time algorithm for the NP-complete subset sum problem. Alas the complexity of our algorithm is O(n 10000 ) (with the implied constant being larger than the Skewes number). This anticlimatic resolution of the “central” problem in the...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1992
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)90595-7