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Mathematics, Volume 12, Issue 3

February-1 2024 - 143 articles

Cover Story: The main purpose of this paper is to study unicyclic graphs that minimize the Graovac–Ghorbani index, a topological descriptor that has predictive potential compared to analogous descriptors and is used to model both the boiling point and melting point of molecules. The problem of maximizing the Graovac–Ghorbani index of unicyclic graphs was solved in 2013, while the minimization problem is currently still unsolved. This research shows that cycles are the unicyclic graphs with even girth that minimize Graovac–Ghorbani index. In the case of odd girth, partial results were given, pointing to cycles as well. As an auxiliary result, Graovac–Ghorbani indices of paths and cycles with an odd number of vertices were compared. View this paper
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Articles (143)

  • Article
  • Open Access
5 Citations
2,910 Views
20 Pages

Using Simulated Annealing to Solve the Multi-Depot Waste Collection Vehicle Routing Problem with Time Window and Self-Delivery Option

  • Vincent F. Yu,
  • Panca Jodiawan,
  • Shih-Wei Lin,
  • Winy Fara Nadira,
  • Anna Maria Sri Asih and
  • Le Nguyen Hoang Vinh

5 February 2024

This research introduces the Multi-Depot Waste Collection Vehicle Routing Problem with Time Windows and Self-Delivery Option (MDWCVRPTW-SDO). The problem comes from the waste bank operation implemented in Yogyakarta City, Indonesia. A set of vehicles...

  • Article
  • Open Access
1 Citations
1,273 Views
18 Pages

5 February 2024

In this study, Ostrowski-type inequalities in fuzzy settings were investigated. A detailed theory of fuzzy analysis is provided and utilized to establish the Ostrowski-type inequality in the fuzzy number-valued space. The results obtained in this res...

  • Article
  • Open Access
2 Citations
1,589 Views
16 Pages

A Class of Efficient Sixth-Order Iterative Methods for Solving the Nonlinear Shear Model of a Reinforced Concrete Beam

  • José J. Padilla,
  • Francisco I. Chicharro,
  • Alicia Cordero,
  • Alejandro M. Hernández-Díaz and
  • Juan R. Torregrosa

5 February 2024

In this paper, we present a three-step sixth-order class of iterative schemes to estimate the solutions of a nonlinear system of equations. This procedure is designed by means of a weight function technique. We apply this procedure for predicting the...

  • Article
  • Open Access
1,827 Views
20 Pages

Analysis of Fuzzy Vector Spaces as an Algebraic Framework for Flag Codes

  • Carlos Bejines,
  • Manuel Ojeda-Hernández and
  • Domingo López-Rodríguez

5 February 2024

Flag codes are a recent network coding strategy based on linear algebra. Fuzzy vector subspaces extend the notions of classical linear algebra. They can be seen as abstractions of flags to the point that several fuzzy vector subspaces can be identifi...

  • Article
  • Open Access
5 Citations
3,604 Views
19 Pages

5 February 2024

This study adopts a data-driven methodology to address the challenge of garment fitting for individuals with diverse body shapes. Focusing on young Chinese women aged 18–25 from Central China, we utilized the German VITUS SMART LC3 3D body scan...

  • Article
  • Open Access
3 Citations
1,693 Views
22 Pages

5 February 2024

Mobile Edge Computing (MEC) is a new distributed computing method based on the mobile communication network. It can provide cloud services and an IT service environment for application developers and service providers at the edge of the network. Comp...

  • Article
  • Open Access
3 Citations
1,463 Views
20 Pages

A Comprehensive Analysis of MSE in Estimating Conditional Hazard Functions: A Local Linear, Single Index Approach for MAR Scenarios

  • Abderrahmane Belguerna,
  • Hamza Daoudi,
  • Khadidja Abdelhak,
  • Boubaker Mechab,
  • Zouaoui Chikr Elmezouar and
  • Fatimah Alshahrani

4 February 2024

In unveiling the non-parametric estimation of the conditional hazard function through the local linear method, our study yields key insights into the method’s behavior. We present rigorous analyses demonstrating the mean square convergence of t...

  • Article
  • Open Access
2 Citations
1,643 Views
20 Pages

4 February 2024

Due to the non-linear and non-stationary nature of daily new 2019 coronavirus disease (COVID-19) case time series, existing prediction methods struggle to accurately forecast the number of daily new cases. To address this problem, a hybrid prediction...

  • Feature Paper
  • Article
  • Open Access
2 Citations
2,938 Views
20 Pages

4 February 2024

Over the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their...

  • Article
  • Open Access
2 Citations
1,681 Views
14 Pages

4 February 2024

The utilization of seismic barriers for protection against the hazardous impact of natural or technogenic waves is an extremely promising emerging technology to secure buildings, structures and entire areas against earthquake-generated seismic waves,...

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Mathematics - ISSN 2227-7390