Results 11 to 20 of about 381,752 (282)

On the Complexity of the Interlace Polynomial [PDF]

open access: yesCoRR, 2007
We consider the two-variable interlace polynomial introduced by Arratia, Bollobas and Sorkin (2004). We develop graph transformations which allow us to derive point-to-point reductions for the interlace polynomial.
Christian Hoffmann, Markus Bl, Äser
core   +8 more sources

On the Complexity of Noncommutative Polynomial Factorization [PDF]

open access: yesInformation and Computation, 2015
In this paper we study the complexity of factorization of polynomials in the free noncommutative ring $\mathbb{F}\langle x_1,x_2,\dots,x_n\rangle$ of polynomials over the field $\mathbb{F}$ and noncommuting variables $x_1,x_2,\ldots,x_n$.
Arvind, V.   +2 more
core   +3 more sources

The Complexity of Approximating the Matching Polynomial in the Complex Plane [PDF]

open access: yesACM Transactions on Computation Theory, 2021
We study the problem of approximating the value of the matching polynomial on graphs with edge parameter γ, where γ takes arbitrary values in the complex plane. When γ is a positive real, Jerrum and Sinclair showed that the problem admits an FPRAS on general graphs.
Ivona Bezáková   +3 more
openaire   +5 more sources

On the Nash equilibrium in the inspector problem

open access: yesLietuvos Matematikos Rinkinys, 2014
Inspector problem represents an economic duel of inspector and law violator and is formulated as a bimatrix game. In general, bimatrix game is NP-complete problem.
Martynas Sabaliauskas, Jonas Mockus
doaj   +1 more source

Long step homogeneous interior point algorithm for the p* nonlinear complementarity problems [PDF]

open access: yesYugoslav Journal of Operations Research, 2002
A P*-Nonlinear Complementarity Problem as a generalization of the P*-Linear Complementarity Problem is considered. We show that the long-step version of the homogeneous self-dual interior-point algorithm could be used to solve such a problem.
Lešaja Goran
doaj   +1 more source

Linear Complexity of New Binary Sequence Derived From Polynomial Quotients Modulo p in General Case and Their Generalizations

open access: yesIEEE Access, 2022
Pseudorandom sequences with large linear complexity have been widely applied in electronic countermeasures, mobile communication and cryptography.
Jiang Ma   +3 more
doaj   +1 more source

Polynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length [PDF]

open access: yes, 2016
We provide an implicit characterization of polynomial time computation in terms of ordinary differential equations: we characterize the class $\operatorname{PTIME}$ of languages computable in polynomial time in terms of differential equations with ...
Bournez, Olivier   +2 more
core   +3 more sources

Complexity of Ising Polynomials [PDF]

open access: yesCombinatorics, Probability and Computing, 2012
This paper deals with the partition function of the Ising model from statistical mechanics, which is used to study phase transitions in physical systems. A special case of interest is that of the Ising model with constant energies and external field. One may consider such an Ising system as a simple graph together with vertex and edge weights.
openaire   +3 more sources

A polynomial-time algorithm for linear optimization based on a new kernel function with trigonometric barrier term [PDF]

open access: yesYugoslav Journal of Operations Research, 2015
In this paper, we propose a large-update interior-point algorithm for linear optimization based on a new kernel function. New search directions and proximity measure are defined based on this kernel function.
Kheirfam B., Moslemi M.
doaj   +1 more source

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