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Symmetry, Volume 9, Issue 1

2017 January - 18 articles

Cover Story: The border lines of terraces in vicinal surfaces and the shape of diffusion-limited eroding surfaces are described by the same underlying mathematical model. The roughness of these interfaces obeys Family–Viscek scaling with dynamical exponent z=1. Although the continuum equation of the surface height is non-local, it has an infinite-dimensional dynamical symmetry which is isomorphic to the direct sum of three centre-less Virasoro algebras. The explicit construction of this symmetry involves spatially non-local Lie algebra generators. View the paper
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Articles (18)

  • Article
  • Open Access
23 Citations
7,200 Views
15 Pages

Some Invariants of Jahangir Graphs

  • Mobeen Munir,
  • Waqas Nazeer,
  • Shin Min Kang,
  • Muhammad Imran Qureshi,
  • Abdul Rauf Nizami and
  • Youl Chel Kwun

23 January 2017

In this report, we compute closed forms of M-polynomial, first and second Zagreb polynomials and forgotten polynomial for Jahangir graphs Jn,m for all values of m and n. From the M-polynomial, we recover many degree-based topological indices such as...

  • Article
  • Open Access
7 Citations
7,496 Views
12 Pages

22 January 2017

This paper presents a fully integrated on-chip switched-capacitor (SC) DC–DC converter that supports a programmable regulated power supply ranging from 2.6 to 3.2 V out of a 5 V input supply. The proposed 4-to-3 step-down topology utilizes two conven...

  • Article
  • Open Access
7 Citations
5,002 Views
16 Pages

21 January 2017

The Crank–Nicolson method can be used to solve the Black–Scholes partial differential equation in one-dimension when both accuracy and stability is of concern. In multi-dimensions, however, discretizing the computational grid with a Crank–Nicolson sc...

  • Article
  • Open Access
27 Citations
9,913 Views
13 Pages

Data-Filtering System to Avoid Total Data Distortion in IoT Networking

  • Dae-Young Kim,
  • Young-Sik Jeong and
  • Seokhoon Kim

20 January 2017

In the Internet of Things (IoT) networking, numerous objects are connected to a network. They sense events and deliver the sensed information to the cloud. A lot of data is generated in the IoT network, and servers in the cloud gather the sensed data...

  • Feature Paper
  • Article
  • Open Access
6 Citations
5,500 Views
17 Pages

20 January 2017

A simplified Keller–Segel model is studied by means of Lie symmetry based approaches. It is shown that a (1 + 2)-dimensional Keller–Segel type system, together with the correctly-specified boundary and/or initial conditions, is invariant with respect...

  • Article
  • Open Access
1 Citations
6,294 Views
15 Pages

Generalized Null 2-Type Surfaces in Minkowski 3-Space

  • Dae Won Yoon,
  • Dong-Soo Kim,
  • Young Ho Kim and
  • Jae Won Lee

20 January 2017

For the mean curvature vector field H and the Laplace operator Δ of a submanifold in the Minkowski space, a submanifold satisfying the condition Δ H = f H + g C is known as a generalized null 2-type, where f and g are smooth functions,...

  • Article
  • Open Access
8 Citations
7,217 Views
19 Pages

20 January 2017

A novel orthogonal multi-swarm cooperative particle swarm optimization (PSO) algorithm with a particle trajectory knowledge base is presented in this paper. Different from the traditional PSO algorithms and other variants of PSO, the proposed orthogo...

  • Article
  • Open Access
4 Citations
4,528 Views
9 Pages

13 January 2017

In this paper, we discuss stochastic comparisons of lifetimes of series and parallel systems with heterogeneous Fréchet components in terms of the usual stochastic order, reversed hazard rate order and likelihood ratio order. The partial results esta...

  • Article
  • Open Access
9 Citations
9,075 Views
16 Pages

12 January 2017

This study develops a model for essay scoring and article relevancy. Essay scoring is a costly process when we consider the time spent by an evaluator. It may lead to inequalities of the effort by various evaluators to apply the same evaluation crite...

  • Article
  • Open Access
7 Citations
6,942 Views
17 Pages

DIaaS: Resource Management System for the Intra-Cloud with On-Premise Desktops

  • Hyun-Woo Kim,
  • Jaekyung Han,
  • Jong Hyuk Park and
  • Young-Sik Jeong

9 January 2017

Infrastructure as a service with desktops (DIaaS) based on the extensible mark-up language (XML) is herein proposed to utilize surplus resources. DIaaS is a traditional surplus-resource integrated management technology. It is designed to provide fast...

  • Article
  • Open Access
7 Citations
4,978 Views
10 Pages

Improved Asymmetric Cipher Based on Matrix Power Function with Provable Security

  • Eligijus Sakalauskas,
  • Aleksejus Mihalkovich and
  • Algimantas Venčkauskas

7 January 2017

The improved version of the author’s previously declared asymmetric cipher protocol based on matrix power function (MPF) is presented. Proposed modification avoids discrete logarithm attack (DLA) which could be applied to the previously declared prot...

  • Article
  • Open Access
15 Citations
5,217 Views
9 Pages

First and Second Zagreb Eccentricity Indices of Thorny Graphs

  • Nazeran Idrees,
  • Muhammad Jawwad Saif,
  • Asia Rauf and
  • Saba Mustafa

6 January 2017

The Zagreb eccentricity indices are the eccentricity reformulation of the Zagreb indices. Let H be a simple graph. The first Zagreb eccentricity index ( E 1 ( H ) ) is defined to be the summation of squares of the eccentricity of vert...

  • Article
  • Open Access
31 Citations
6,125 Views
10 Pages

Some Computational Aspects of Boron Triangular Nanotubes

  • Mobeen Munir,
  • Waqas Nazeer,
  • Shazia Rafique,
  • Abdul Rauf Nizami and
  • Shin Min Kang

1 January 2017

The recent discovery of boron triangular nanotubes competes with carbon in many respects. The closed form of M‐polynomial of nanotubes produces closed forms of many degree‐based topological indices which are numerical parameters of the structure and,...

  • Article
  • Open Access
25 Citations
5,609 Views
12 Pages

Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks

  • Muhammad Ajmal,
  • Waqas Nazeer,
  • Mobeen Munir,
  • Shin Min Kang and
  • Young Chel Kwun

29 December 2016

A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compu...

  • Article
  • Open Access
10 Citations
5,588 Views
19 Pages

24 December 2016

Unmanned aerial vehicles (UAVs) with auto-pilot capabilities are often used for surveillance and patrol. Pilots set the flight points on a map in order to navigate to the imaging point where surveillance or patrolling is required. However, there is t...

  • Article
  • Open Access
7 Citations
5,330 Views
22 Pages

24 December 2016

Diffusion-limited erosion is a distinct universality class of fluctuating interfaces. Although its dynamical exponent z = 1 , none of the known variants of conformal invariance can act as its dynamical symmetry. In d = 1 spatial dimens...

  • Article
  • Open Access
21 Citations
7,742 Views
19 Pages

24 December 2016

State of health (SOH) prediction in Li-ion batteries plays an important role in intelligent battery management systems (BMS). However, the existence of capacity regeneration phenomena remains a great challenge for accurately predicting the battery SO...

  • Article
  • Open Access
5 Citations
4,406 Views
15 Pages

22 December 2016

Reduction operators, i.e., the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities, are investigated within the framework of a singular reduction operator. A classi...

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Symmetry - ISSN 2073-8994