You are currently viewing a new version of our website. To view the old version click .

Symmetry, Volume 9, Issue 12

December 2017 - 36 articles

Cover Story: The theory of knotoids can be regarded as a refinement of classical knot theory. Knotoids provide a natural topological domain for studying the knotting of physical structures involving open-ended curves, for example, polymers. In analogy, braidoids extend the classical braids and they form a counterpart theory to the theory of knotoids. Any braidoid gives rise to a knotoid via the closure map and any knotoid can be turned into a braidoid whose closure is topologically equivalent to the starting knotoid. Braidoids can be used for encoding the topological information of knotoids in terms of algebraic expressions. View this paper
  • Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
  • You may sign up for email alerts to receive table of contents of newly released issues.
  • PDF is the official format for papers published in both, html and pdf forms. To view the papers in pdf format, click on the "PDF Full-text" link, and use the free Adobe Reader to open them.

Articles (36)

  • Feature Paper
  • Article
  • Open Access
3 Citations
3,471 Views
16 Pages

20 December 2017

It is shown that complex-valued boundary value problems for several classes of recurrent relations with two independent variables, of some considerable interest, are solvable on the following domain: C = { ( n , k ) : 0 ≤ k ≤ n , k ∈ N 0 , n...

  • Article
  • Open Access
3 Citations
3,636 Views
18 Pages

20 December 2017

In this paper, we develop a genetically oriented rule-based Incremental Granular Model (IGM). The IGM is designed using a combination of a simple Linear Regression (LR) model and a local Linguistic Model (LM) to predict the modeling error obtained by...

  • Article
  • Open Access
9 Citations
5,435 Views
24 Pages

19 December 2017

Sign language is a basic method for solving communication problems between deaf and hearing people. In order to communicate, deaf and hearing people normally use hand gestures, which include a combination of hand positioning, hand shapes, and hand mo...

  • Article
  • Open Access
69 Citations
5,220 Views
21 Pages

19 December 2017

As an effective aggregation tool, power average (PA) allows the input arguments being aggregated to support and reinforce each other, which provides more versatility in the information aggregation process. Under the probabilistic linguistic term envi...

  • Article
  • Open Access
33 Citations
8,283 Views
23 Pages

19 December 2017

A complex system is a set of mutually interacting elements for which it is possible to construct a mathematical model. This article focuses on the cellular automata theory and the graph theory in order to compare various types of cellular automata an...

  • Article
  • Open Access
5 Citations
3,088 Views
19 Pages

Algebraic Aspects of the Supersymmetric Minimal Surface Equation

  • Alfred Michel Grundland and
  • Alexander Hariton

18 December 2017

In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal symmetries of this equation is determined. A classification of the one-dimensional subalgebras is...

  • Article
  • Open Access
27 Citations
4,923 Views
16 Pages

New Applications of m-Polar Fuzzy Matroids

  • Musavarah Sarwar and
  • Muhammad Akram

18 December 2017

Mathematical modelling is an important aspect in apprehending discrete and continuous physical systems. Multipolar uncertainty in data and information incorporates a significant role in various abstract and applied mathematical modelling and decision...

  • Article
  • Open Access
26 Citations
7,014 Views
15 Pages

Analyzing Spatial Behavior of Backcountry Skiers in Mountain Protected Areas Combining GPS Tracking and Graph Theory

  • Karolina Taczanowska,
  • Mikołaj Bielański,
  • Luis-Millán González,
  • Xavier Garcia-Massó and
  • José L. Toca-Herrera

14 December 2017

Mountain protected areas (PAs) aim to preserve vulnerable environments and at the same time encourage numerous outdoor leisure activities. Understanding the way people use natural environments is crucial to balance the needs of visitors and site capa...

  • Article
  • Open Access
5,248 Views
22 Pages

Tangible Visualization Table for Intuitive Data Display

  • Jongyong Kim,
  • Cheongun Lee,
  • Seung-Hyun Yoon and
  • Sanghun Park

13 December 2017

We propose a new tangible visualization table for intuitive and effective visualization of terrain data transferred from a remote server in real time. The shape display approximating the height field of remote terrain data is generated by linear actu...

  • Feature Paper
  • Article
  • Open Access
22 Citations
5,128 Views
24 Pages

Knotoids, Braidoids and Applications

  • Neslihan Gügümcü and
  • Sofia Lambropoulou

12 December 2017

This paper is an introduction to the theory of braidoids. Braidoids are geometric objects analogous to classical braids, forming a counterpart theory to the theory of knotoids. We introduce these objects and their topological equivalences, and we con...

of 4

Get Alerted

Add your email address to receive forthcoming issues of this journal.

XFacebookLinkedIn
Symmetry - ISSN 2073-8994