The 1st International Online Conference on Mathematics and Applications—a Celebration of the 10th Anniversary of Mathematics' Impact on Our Wellbeing

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

Deadline for manuscript submissions: closed (31 December 2023) | Viewed by 1234

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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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Dear Colleagues,

You are invited to participate in the 1st International Electronic Conference on Mathematics and Applications. This event aims to bring together researchers working in the field of mathematics to present and discuss their recent contributions, without the need for travel.

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 stress analytical/ algebraic aspects and novel problems and their solution. This conference will address a variety of research topics, which reflect some of the current areas of focus. These are organized into several sessions, and include the following:

S1. Engineering Mathematics: submissions reporting novel mathematical methods and computational techniques for engineering and industry problems are welcome for this session.

S2. Mathematics and Computer Science: this session welcomes research paradigms combining mathematical reasoning and computing.

S3. Dynamical Systems: this session is open to research on the following areas, in which mathematics plays 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.

S4. Financial Mathematics: this session will focus on applications of mathematical methods/modeling to financial problems, such as derivatives pricing, risk and portfolio management, etc.

S5. Mathematical Physics: for this session, 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.

S6. Algebra and Geometry with Applications to Related Fields: this session includes algebra, differential geometry, global analysis, complex geometry, computational aspects, arithmetic, cryptography, and topology.

S7. Probability and Statistics: research on the theory and applications of probability and statistical techniques to random phenomena and diverse areas are welcome.

S8. Mathematical Biology: this session will focus on research reporting new concepts or an understanding of biological systems using mathematical models/approaches.

S9. Network Science: research at the interface of mathematics, physics, biology, sociology, data science, and network science is the focus of this session.

S10. Fuzzy Set Theory: this session aims to disseminate and communicate fuzzy-set-theory-driven scientific knowledge and impactful discoveries to academia, industry, and the public worldwide.

S11. Difference and Differential Equations: Both qualitative and qualitative theories of difference and differential equations along with their cross-disciplinary applications will be of interest to the session.

S12. Computational Mathematics: the Session covers 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.

We hope that you will join this symposium to exchange ideas, engage in fruitful collaborations and make the first edition of the conference a success.

Accepted abstract submissions will be published in the proceedings of the conference, and authors are invited to convert their abstracts into full manuscripts that will be considered for publication in Mathematics, with a 20% discount on the APC. Mathematics is an open access journal from MDPI and the journal is indexed in the SCIE-Science Citation Index Expanded (Clarivate Analytics) and Scopus. Please visit the following website for more information.

https://www.mdpi.com/journal/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

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
Viewed by 538
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
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