Results 31 to 40 of about 73,753 (309)

Evaluating the Tutte Polynomial for Graphs of Bounded Tree-Width

open access: yes, 1998
It is known that evaluating the Tutte polynomial, $T(G; x, y)$, of a graph, $G$, is $\#$P-hard at all but eight specific points and one specific curve of the $(x, y)$-plane.
Noble, Steven, S. D. Noble, Noble, S D
core   +1 more source

Polynomial time algorithm for checking strong equivalence of program

open access: yesТруды Института системного программирования РАН, 2018
To unify a pair of algebraic expressions t1 and t2 is to find out such a substitution θ that both terms t1θ and t2θ have the same meaning. Unification problem can be extended to computational programs.
T. A. Novikova, V. A. Zakharov
doaj   +2 more sources

Constructing Concise Characteristic Samples for Acceptors of Omega Regular Languages [PDF]

open access: yesLogical Methods in Computer Science
A characteristic sample for a language $L$ and a learning algorithm $\textbf{L}$ is a finite sample of words $T_L$ labeled by their membership in $L$ such that for any sample $T \supseteq T_L$ consistent with $L$, on input $T$ the learning algorithm ...
Dana Angluin, Dana Fisman
doaj   +1 more source

Clustering Affine Subspaces: Algorithms and Hardness [PDF]

open access: yes, 2012
We study a generalization of the famous k-center problem where each object is an affine subspace of dimension Δ, and give either the first or significantly improved algorithms and hardness results for many combinations of parameters.
Lee, Euiwoong
core   +1 more source

Representing Small Ordinals by Finite Automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2010
It is known that an ordinal is the order type of the lexicographic ordering of a regular language if and only if it is less than omega^omega. We design a polynomial time algorithm that constructs, for each well-ordered regular language L with respect to ...
Zoltan Ésik
doaj   +1 more source

Simultaneously dominating all spanning trees of a graph

open access: yesElectronic Journal of Graph Theory and Applications, 2022
We investigate the problem of simultaneously dominating all spanning trees of a given graph. We prove that on 2-connected graphs, a subset of the vertices dominates all spanning trees of the graph if and only if it is a vertex cover.
Sebastian Johann   +2 more
doaj   +1 more source

Impact of decreasing polynomial degree in time needed to factor a 100 digits integer by General Number field sieve algorithm [PDF]

open access: yesEngineering and Technology Journal, 2012
Factoring is very important in the field of cryptography, specifically in the Rivest, Shamir, Adleman(RSA) public-key cryptosystem, one of the most prevalent methods for transmitting and receiving secret data which its security relies on the fact that ...
Jamal A. Othman
doaj   +1 more source

Exon 7 splicing of ERα predicts poor prognosis and increases phenotypic heterogeneity in luminal a subtype breast cancer

open access: yesFEBS Open Bio, EarlyView.
ERα splice variant ERα∆7 lacks the C‐terminus, and its expression may change phenotypes of breast cancers. Our results showed that ERα∆7 is found in the luminal A subtype, and elevated ERα∆7 levels are linked to improved cell survival with lower proliferation and migration.
Long Wai Tsui   +10 more
wiley   +1 more source

A Polynomial Time Algorithm for 3SAT

open access: yesCoRR
It is shown that any two clauses in an instance of 3SAT sharing the same terminal which is positive in one clause and negated in the other can imply a new clause composed of the remaining terms from both clauses. Clauses can also imply other clauses as long as all the terms in the implying clauses exist in the implied clause. It is shown an instance of
openaire   +4 more sources

A (quasi-)polynomial time heuristic algorithm for synthesizing T-depth optimal circuits

open access: yesnpj Quantum Information, 2022
We investigate the problem of synthesizing T-depth optimal quantum circuits for exactly implementable unitaries over the Clifford+T gate set. We construct a subset, $${{\mathbb{V}}}_{n}$$ V n , of T-depth 1 unitaries.
Vlad Gheorghiu   +2 more
doaj   +1 more source

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