$Open Mathematics$

Open Access Published by De Gruyter Open Access

Volume 17 Issue 1

January 2019

Issue of Open Mathematics

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Contents
Journal Overview

In this work, we propose to approximate the Gaussian integral, the error function and the cumulative distribution function by using the power series extender method (PSEM). The approximations proposed in this paper present a high accuracy for the complete domain [–∞,∞]. Furthermore, the approximations are handy and easy computable, avoiding the application of special numerical algorithms. In order to show its high accuracy, three case studies are presented with applications to science and engineering.

A graph is said to be NSSD (=non-singular with a singular deck) if it has no eigenvalue equal to zero, whereas all its vertex-deleted subgraphs have eigenvalues equal to zero. NSSD graphs are of importance in the theory of conductance of organic compounds. In this paper, a novel method is described for constructing NSSD molecular graphs from the commuting graphs of the H v -group. An algorithm is presented to construct the NSSD graphs from these commuting graphs.

About this journal

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20 YEARS - 20 VOLUMES

Look back at the journal’s 20-year journey and browse its high-impact content. Visit the website

On this occasion seven papers of excellent and profound mathematics have been published to encourage reflection about further directions in the field.
See the content of the SPECIAL ISSUE ON "FUTURE DIRECTIONS OF FURTHER DEVELOPMENTS IN MATHEMATICS"　　　

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SPECIAL ISSUE PROPOSALS

If you have an idea for a prospective topical issue, please complete Special Issue proposal questionaire (in DOC), addressing your proposal to the Managing Editor (Dr. Justyna Zuk, Justyna.Zuk@degruyter.com).

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Open Mathematics is a fully peer-reviewed open access journal that publishes significant, original and relevant works on topics across the full span of mathematics. Coverage includes:

Algebra, Algebraic Geometry, Category Theory, Complex Analysis, Control Theory and Optimization, Differential Equations, Differential Geometry, Discrete Mathematics, Dynamical Systems and Ergodic Theory, Functional Analysis, Geometry, Mathematical Logic and Foundations, Mathematical Physics, Number Theory, Numerical Analysis, Operator Theory, Probability Theory and Statistics, Real Analysis, Topology.

In order to sustain the publishing process, each article accepted for publication in Open Mathematics is subject to an Article Processing Charge of €1000. This fee is used to cover the costs of the peer-review process, professional typesetting and copyediting, as well as online hosting, long-term preservation, and extensive promotion to potential readers. There is no submission fee. Information regarding payment of the charge will be provided following acceptance for publication. Inquiries concerning Article Processing Charges should be addressed to the Managing Editor (Dr. Justyna Zuk, Justyna.Zuk@degruyter.com) before or just after submission of a manuscript.

Detailed information on　Article Processing Charges, Editorial Policy, Instructions for Authors etc. can be found as documents (in PDF) in the Supplementary Materials below. Publishing Ethics, Open Access Services at DG, FAQ for Authors and Editors etc. can be directed from External Links.

Volume 17 Issue 1

Issue of Open Mathematics

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one

Abstract

Centralizers of automorphisms permuting free generators

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Extreme points and support points of conformal mappings

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Arithmetical properties of double Möbius-Bernoulli numbers

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The product of quasi-ideal refined generalised quasi-adequate transversals

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Characterizations of the Solution Sets of Generalized Convex Fuzzy Optimization Problem

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Augmented, free and tensor generalized digroups

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Time-dependent attractor of wave equations with nonlinear damping and linear memory

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A new smoothing method for solving nonlinear complementarity problems

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Almost periodic solution of a discrete competitive system with delays and feedback controls

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On a problem of Hasse and Ramachandra

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Hopf bifurcation and stability in a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay incorporating prey refuge

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A note on the formulas for the Drazin inverse of the sum of two matrices

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Completeness theorem for probability models with finitely many valued measure

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Periodic solution for ϕ-Laplacian neutral differential equation

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Asymptotic orbital shadowing property for diffeomorphisms

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Modular equations of a continued fraction of order six

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Solutions with concentration and cavitation to the Riemann problem for the isentropic relativistic Euler system for the extended Chaplygin gas

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Stability Problems and Analytical Integration for the Clebsch’s System

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Topological Indices of Para-line Graphs of V-Phenylenic Nanostructures

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On split Lie color triple systems

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Triangular Surface Patch Based on Bivariate Meyer-König-Zeller Operator

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Generators for maximal subgroups of Conway group Co1

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Positivity preserving operator splitting nonstandard finite difference methods for SEIR reaction diffusion model

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Characterizations of Convex spaces and Anti-matroids via Derived Operators

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On Partitions and Arf Semigroups

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Arithmetic properties for Andrews’ (48,6)- and (48,18)-singular overpartitions

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A concise proof to the spectral and nuclear norm bounds through tensor partitions

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A categorical approach to abstract convex spaces and interval spaces

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Dynamics of two-species delayed competitive stage-structured model described by differential-difference equations

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Parity results for broken 11-diamond partitions

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A new fourth power mean of two-term exponential sums

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The new operations on complete ideals

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Soft covering based rough graphs and corresponding decision making

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Complete convergence for arrays of ratios of order statistics

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Sufficient and necessary conditions of convergence for ρ͠ mixing random variables

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Attractors of dynamical systems in locally compact spaces

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Random attractors for stochastic retarded strongly damped wave equations with additive noise on bounded domains

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Statistical approximation properties of λ-Bernstein operators based on q-integers

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Generators for maximal subgroups of Conway group Co₁

A note on the structure of a finite group G having a subgroup H maximal in 〈H, H^g〉