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Mathematics, Volume 11, Issue 10

May-2 2023 - 189 articles

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Cover Story: 2-rainbow domination is a variant of domination where two colors are assigned to vertices. It is used in models where two distinct resources are to be provided to customers, i.e., uncolored vertices. A vertex is said to be 2RD-dominated if it is allocated a non-empty set of colors or if two colors are assigned to the vertices in its locality. New results on 2-rainbow domination numbers, denoted by γrt(G), of generalized Petersen graphs, P(ck,k), are provided, including the exact values for all infinite families where the general lower bound \({\frac{4}{5}}\)ck is attained. In all other cases, lower and upper bounds with small gaps are given. View this paper

Articles (189)

  • Article
  • Open Access
26 Citations
1,846 Views
26 Pages

A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium

  • Emad E. Ghandourah,
  • Ahmed Amine Daikh,
  • Samir Khatir,
  • Abdulsalam M. Alhawsawi,
  • Essam M. Banoqitah and
  • Mohamed A. Eltaher

22 May 2023

Theoretical research has numerous challenges, particularly about modeling structures, unlike experimental analysis, which explores the mechanical behavior of complex structures. Therefore, this study suggests a new model for functionally graded shell...

  • Article
  • Open Access
5 Citations
2,369 Views
17 Pages

Splines Parameterization of Planar Domains by Physics-Informed Neural Networks

  • Antonella Falini,
  • Giuseppe Alessio D’Inverno,
  • Maria Lucia Sampoli and
  • Francesca Mazzia

22 May 2023

The generation of structured grids on bounded domains is a crucial issue in the development of numerical models for solving differential problems. In particular, the representation of the given computational domain through a regular parameterization...

  • Article
  • Open Access
22 Citations
1,877 Views
16 Pages

22 May 2023

This paper investigates the mean-square stability of uncertain time-delay stochastic systems driven by G-Brownian motion, which are commonly referred to as G-SDDEs. To derive a new set of sufficient stability conditions, we employ the linear matrix i...

  • Article
  • Open Access
1 Citations
1,720 Views
13 Pages

Rethinking the Role of Organizational Reflex in Maintaining a Company’s Sustainability

  • Sigitas Vaitkevicius,
  • Ojaras Purvinis,
  • Leonidas Sakalauskas and
  • Palmira Papsiene

22 May 2023

The organizational reflex in relation to the company is considered to be an instinctive reaction of its employees to an external stimulus that has arisen or, in other words, the ability of the employee to spontaneously generate a competitive response...

  • Article
  • Open Access
7 Citations
2,108 Views
17 Pages

22 May 2023

Any small environmental changes in the driving environment of a traffic vehicle can become a risk factor directly leading to major safety incidents. Therefore, it is necessary to assist drivers in automatically detecting risk factors during the drivi...

  • Article
  • Open Access
1 Citations
4,932 Views
11 Pages

Mathematical Physics of Time Dilation through Curved Trajectories with Applications

  • Ayman Kamel,
  • Abdelhalim Ebaid,
  • Essam R. El-Zahar,
  • Riadh Chteoui and
  • Laila F. Seddek

22 May 2023

In special relativity, the time dilation formula has been obtained by particles propagation in a straight line trajectory relative to an observer in motion. Up to now, there are no available formulas for other possible trajectories of particles. Howe...

  • Article
  • Open Access
32 Citations
2,570 Views
26 Pages

22 May 2023

The present research examines the steady, one-dimensional thermal distribution and heat transfer of a wavy fin. This heat transfer analysis considers convective effects as well as temperature-dependent thermal conductivity. Furthermore, a novel imple...

  • Article
  • Open Access
14 Citations
2,156 Views
29 Pages

22 May 2023

The assignment of tasks for unmanned aerial vehicles (UAVs) during forest fire reconnaissance is a highly complex and large-scale problem. Current task allocation methods struggle to strike a balance between solution speed and effectiveness. In this...

  • Article
  • Open Access
4 Citations
1,550 Views
14 Pages

22 May 2023

The aim of this research article is to obtain fixed point results in the context of F-bipolar metric spaces. The obtained results extend some fixed point theorems in the existing literature. We also provide a non-trivial example to validate our claim...

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