Mathematics and Its Applications in Other Disciplines

A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: 20 May 2026 | Viewed by 1559

Special Issue Editors


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Guest Editor
Department of Mathematics, Xiamen University of Technology, Xiamen 361024, China
Interests: graph theory; fault tolerance of networks; network optimization

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Guest Editor
Department of Mathematics and Computer Science, Cubo 31/A, Università della Calabria, 87036 Rende, Italy
Interests: number theory; iwasawa theory; combinatorics; fibonacci numbers; mumber sequences; graph theory; unimaginable numbers; combinatorics on words; fractal geometry; polytopes; elliptic curves; cryptography; applied mathematics; cellular automata; mathematical models; chaos theory; nonlinear dynamics; shallow water
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Special Issue Information

Dear Colleagues,

Mathematics, an ancient and fundamental discipline, possesses boundless charm and power. It is by no means merely a collection of numbers and formulas. Instead, it serves as a universal language capable of precisely describing the world and uncovering the laws of all things. From the exploration of geometry by ancient Greek scholars to the continuous expansion of mathematical theories in the present day, mathematics has always provided the cornerstone of humanity's understanding of the world through rigorous logic and abstract thinking.

In the modern scientific system, mathematics is omnipresent. Physics utilizes mathematical models to describe the laws of the universe's operation. From the formulas of Newtonian mechanics to the complex tensor equations of the theory of relativity, mathematics enables physicists to accurately predict the motion trajectories of celestial bodies. Furthermore, in biology, mathematical models are employed to study population growth and ecological balance, helping us understand the mechanisms behind life phenomena. In engineering, whether in architectural design, circuit optimization, or aerospace technology, mathematical algorithms ensure the safety and efficiency of designs.

This Special Issue focuses on the remarkable applications of mathematics in various disciplines and aims to explore points of crossover between mathematics and different fields. We aim to show how mathematics injects vitality into other disciplines and promotes the continuous progress of science and technology, and to show its influence across disciplinary boundaries. We look forward to your contributions, and to jointly exploring the significance of mathematics as it stands across a range of fields.

Prof. Dr. Litao Guo
Dr. Fabio Caldarola
Guest Editors

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Keywords

  • pure mathematics
  • applied mathematics
  • control theory
  • combinatorics
  • graph theory
  • network optimization
  • network design
  • computational theory
  • algorithm design and analysis
  • computer-aided geometric design
  • algorithmic complexity
  • automata theory

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Published Papers (2 papers)

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Research

21 pages, 1292 KB  
Article
Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems and Fixed Point Problems with Applications in Optimal Control Problems
by Yaling Bai, Guolin Yu, Linqi Sun and Shengquan Weng
Axioms 2025, 14(12), 881; https://doi.org/10.3390/axioms14120881 - 28 Nov 2025
Viewed by 197
Abstract
This paper presents an enhanced inertial Tseng’s extragradient method designed to address variational inequality problems involving pseudomonotone operators, along with fixed point problems governed by quasi-nonexpansive operators in real Hilbert spaces. Provided that the parameters satisfy appropriate conditions, the proposed method is shown [...] Read more.
This paper presents an enhanced inertial Tseng’s extragradient method designed to address variational inequality problems involving pseudomonotone operators, along with fixed point problems governed by quasi-nonexpansive operators in real Hilbert spaces. Provided that the parameters satisfy appropriate conditions, the proposed method is shown to converge strongly. Finally, we provide computational results and illustrate their utility through optimal control applications. These aim to show the efficacy and superiority of the proposed algorithm compared with some existing algorithms. Full article
(This article belongs to the Special Issue Mathematics and Its Applications in Other Disciplines)
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15 pages, 459 KB  
Article
On Order Degree Problem for Moore Bound
by Himihami Mudiyanselage Chinthaka Wijerathne, Jayantha Lanel, Kissani Perera and Chathura Wanigasekara
Axioms 2025, 14(11), 802; https://doi.org/10.3390/axioms14110802 - 30 Oct 2025
Viewed by 625
Abstract
The degree diameter problem is a quest to determine the largest graph in terms of vertices satisfying given degree and diameter constraints. The largest possible graphs that can exist and that are subject to degree and diameter constraints are called Moore graphs. Since [...] Read more.
The degree diameter problem is a quest to determine the largest graph in terms of vertices satisfying given degree and diameter constraints. The largest possible graphs that can exist and that are subject to degree and diameter constraints are called Moore graphs. Since Moore graphs are rare, researchers are eager to build graphs closer to Moore graphs. This paper discusses the possibility of constructing graphs closer to Moore graphs, keeping a fixed order and minimizing the number of vertex pairs that break the diameter constraint, and suggests a new general relative index that measures the closeness to optimality. Based on the proposed index, it is highlighted that some of the graphs constructed in this work are closer to Moore graphs than the existing best results in the degree diameter problem. Furthermore, a fitness landscape analysis is conducted to identify the nature and the difficulty of the problem. This new method can be considered a new approach to constructing graphs closer to Moore graphs. Full article
(This article belongs to the Special Issue Mathematics and Its Applications in Other Disciplines)
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