Mathematics and Applications

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 20 May 2025 | Viewed by 2122

Special Issue Editors


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Guest Editor
School of Computer Science and Informatics, De Montfort University, The Gateway, Leicester LE1 9BH, UK
Interests: fuzzy decision making; fuzzy preference modeling; decision support systems; consensus; recommender systems; social networks; rationality/consistency; aggregation; type-2 fuzzy logic; opinion dynamics; trust propagation
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Special Issue Information

Dear Colleagues,

The Special Issue not only reflects on the title itself, as it also celebrates the 1st International Electronic Conference on Mathematics and Applications held by the journal from 1 to 15 May 2023. Mathematics highlights studies devoted to the mathematical treatment of questions arising in physics, chemistry, biology, statistics, finance, computer science, engineering and sociology, particularly those that engage with analytical/ algebraic aspects and novel problems and their solution.

The following topics in different sections are all of great interest to the Special Issue:

  • Engineering Mathematics: Submissions reporting novel mathematical methods and computational techniques for engineering and industry problems are welcome.
  • Mathematics and Computer Science: Research paradigms combining mathematical reasoning and computing will be welcome.
  • Dynamical Systems: Open to research in the following areas (in which mathematics play a key role): complex dynamical systems; nonlinear systems; arithmetic dynamics; chaos theory; control theory; ergodic theory; functional analysis; graph dynamical systems; symbolic dynamics; system dynamics; topological dynamics.
  • Financial Mathematics: Applications of mathematical methods/modeling to financial problems, such as derivatives pricing, risk and portfolio management, etc.
  • Mathematical Physics: Contributions that discuss modern methods of functional analysis, probability theory, differential geometry, ordinary and partial differential equations, algebraic topology, algebra and mathematical logic to any area of physics are of particular interest.
  • Algebra and Geometry with Applications to Related Fields: Includes algebra, differential geometry, global analysis, complex geometry, computational aspects, arithmetic, cryptography, and topology.
  • Probability and Statistics: Research on the theory and applications of probability and statistical techniques in regard to random phenomena and diverse areas are welcome.
  • Mathematical Biology: Focusing on research reporting new concepts or an understanding of biological systems using mathematical models/approaches.
  • Network Science: Research at the interface of mathematics, physics, biology, sociology, data science, and network science is the focus.
  • Fuzzy Set Theory: Aiming to disseminate and communicate fuzzy-set-theory-driven scientific knowledge and impactful discoveries for academia, the industry, and the public worldwide.
  • Difference and Differential Equations: Both qualitative and qualitative theories of difference and differential equations along with their cross-disciplinary applications will be of interest.
  • Computational Mathematics: Covering all areas of modern computational mathematics and analysis, such as functional analysis, numerical linear algebra, numerical optimization, numerical approximation, computational geometry, numerical ODEs and PDEs, inverse problems, etc.

The Special Issue is open to submissions from all the authors who are interested in the topic even if they did not participate in the event. All papers accepted in this Special Issue will meet the usual standards for publication held by Mathematics.

Prof. Dr. Francisco Chiclana
Prof. Dr. Paolo Mercorelli
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • engineering mathematics
  • mathematical biology
  • mathematics and computer science
  • network science
  • dynamical systems
  • computational and applied mathematics
  • fuzzy sets, systems and decision making
  • difference and differential equations
  • financial mathematics
  • mathematical physics
  • algebra and geometry
  • probability and statistics
  • functional interpolation

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Published Papers (1 paper)

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Research

14 pages, 457 KiB  
Article
Counting Rules for Computing the Number of Independent Sets of a Grid Graph
by Guillermo De Ita Luna, Pedro Bello López and Raymundo Marcial-Romero
Mathematics 2024, 12(6), 922; https://doi.org/10.3390/math12060922 - 21 Mar 2024
Cited by 2 | Viewed by 1127
Abstract
The issue of counting independent sets of a graph, G, represented as i(G), is a significant challenge within combinatorial mathematics. This problem finds practical applications across various fields, including mathematics, computer science, physics, and chemistry. In chemistry, [...] Read more.
The issue of counting independent sets of a graph, G, represented as i(G), is a significant challenge within combinatorial mathematics. This problem finds practical applications across various fields, including mathematics, computer science, physics, and chemistry. In chemistry, i(G) is recognized as the Merrifield–Simmons (M-S) index for molecular graphs, which is one of the most relevant topological indices related to the boiling point in chemical compounds. This article introduces an innovative algorithm designed for tallying independent sets within grid-like structures. The proposed algorithm is based on the ‘branch-and-bound’ technique and is applied to compute i(Gm,n) for a square grid formed by m rows and n columns. The proposed approach incorporates the widely recognized vertex reduction rule as the basis for splitting the current subgraph. The methodology involves breaking down the initial grid iteratively until outerplanar graphs are achieved, serving as the ’basic cases’ linked to the leaf nodes of the computation tree or when no neighborhood is incident to a minimum of five rectangular internal faces. The time complexity of the branch-and-bound algorithm speeds up the computation of i(Gm,n) compared to traditional methods, like the transfer matrix method. Furthermore, the scope of the proposed algorithm is more general than the algorithms focused on grids since it could be applied to process general mesh graphs. Full article
(This article belongs to the Special Issue Mathematics and Applications)
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