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AppliedMath, Volume 3, Issue 1

2023 March - 14 articles

Cover Story: The underpopulation rule is graph dynamics derived by simplifying the set of rules constituting the Game of Life. The number of label configurations met by a graph during the dynamic process defined by this rule is bounded by a polynomial in the size of the graph if the graph is undirected. As a consequence, predicting the label evolution is an easy problem (i.e., a problem in P) in such a case. In this paper, the generalization of the underpopulation rule to signed and directed graphs is studied. It is proved here that the number of label configurations met by a graph during the dynamic process defined by any generalized underpopulation rule is still bounded by a polynomial in the size of the graph if the graph is undirected and structurally balanced, while it is not bounded by any polynomial in the size of the graph if the graph is directed but unsigned unless P = PSpace. View this paper
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Articles (14)

  • Article
  • Open Access
14 Citations
4,762 Views
25 Pages

A Rule-Based Approach for Mining Creative Thinking Patterns from Big Educational Data

  • Nasrin Shabani,
  • Amin Beheshti,
  • Helia Farhood,
  • Matt Bower and ,
  • Michael Garrett and
  • Hamid Alinejad-Rokny
  • + 1 author+ 0 author

20 March 2023

Numerous studies have established a correlation between creativity and intrinsic motivation to learn, with creativity defined as the process of generating original and valuable ideas, often by integrating perspectives from different fields. The field...

  • Article
  • Open Access
9 Citations
3,623 Views
22 Pages

The Harris Extended Bilal Distribution with Applications in Hydrology and Quality Control

  • Radhakumari Maya,
  • Muhammed Rasheed Irshad,
  • Muhammed Ahammed and
  • Christophe Chesneau

10 March 2023

In this research work, a new three-parameter lifetime distribution is introduced and studied. It is called the Harris extended Bilal distribution due to its construction from a mixture of the famous Bilal and Harris distributions, resulting from a br...

  • Article
  • Open Access
2 Citations
3,925 Views
21 Pages

Linear Trees, Lattice Walks, and RNA Arrays

  • Jasmine Renee Evans and
  • Asamoah Nkwanta

The leftmost column entries of RNA arrays I and II count the RNA numbers that are related to RNA secondary structures from molecular biology. RNA secondary structures sometimes have mutations and wobble pairs. Mutations are random changes that occur...

(This article belongs to the Special Issue Feature Papers in AppliedMath)
  • Article
  • Open Access
30 Citations
15,270 Views
25 Pages

Analyzing Health Data Breaches: A Visual Analytics Approach

  • Wullianallur Raghupathi,
  • Viju Raghupathi and
  • Aditya Saharia

This research studies the occurrence of data breaches in healthcare provider settings regarding patient data. Using visual analytics and data visualization tools, we study the distribution of healthcare breaches by state. We review the main causes an...

(This article belongs to the Special Issue Feature Papers in AppliedMath)
  • Article
  • Open Access
6 Citations
2,916 Views
28 Pages

Copula analysis was created to explain the dependence of two or more quantitative variables. Due to the need for in-depth data analysis involving complex variable relationships, there is always a need for new copula models with original features. As...

  • Article
  • Open Access
3 Citations
5,228 Views
30 Pages

Renormalization in Quantum Brain Dynamics

  • Akihiro Nishiyama,
  • Shigenori Tanaka and
  • Jack A. Tuszynski

22 February 2023

We show renormalization in Quantum Brain Dynamics (QBD) in 3+1 dimensions, namely Quantum Electrodynamics with water rotational dipole fields. First, we introduce the Lagrangian density for QBD involving terms of water rotational dipole fields,...

  • Article
  • Open Access
3,266 Views
19 Pages

13 February 2023

A multilevel Monte Carlo (MLMC) method is applied to simulate a stochastic optimal problem based on the gradient projection method. In the numerical simulation of the stochastic optimal control problem, the approximation of expected value is involved...

  • Article
  • Open Access
3 Citations
2,398 Views
8 Pages

3 February 2023

The eigenvalue bounds of interval matrices are often required in some mechanical and engineering fields. In this paper, we improve the theoretical results presented in a previous paper “A property of eigenvalue bounds for a class of symmetric t...

  • Article
  • Open Access
2 Citations
2,825 Views
28 Pages

16 January 2023

Different hypotheses of carcinogenesis have been proposed based on local genetic factors and physiologic mechanisms. It is assumed that changes in the metric invariants of a biologic system (BS) determine the general mechanisms of cancer development....

  • Article
  • Open Access
6 Citations
2,883 Views
11 Pages

Linking errors in item response models quantify the dependence on the chosen items in means, standard deviations, or other distribution parameters. The jackknife approach is frequently employed in the computation of the linking error. However, this j...

  • Article
  • Open Access
6 Citations
7,944 Views
12 Pages

Effects of the Queue Discipline on System Performance

  • Serban Raicu,
  • Dorinela Costescu and
  • Mihaela Popa

Queue systems are essential in the modelling of transport systems. Increasing requirements from the beneficiaries of logistic services have led to a broadening of offerings. Consequently, models need to consider transport entities with priorities bei...

  • Article
  • Open Access
3 Citations
2,826 Views
27 Pages

28 December 2022

Graph dynamics for a node-labeled graph is a set of updating rules describing how the labels of each node in the graph change in time as a function of the global set of labels. The underpopulation rule is graph dynamics derived by simplifying the set...

(This article belongs to the Special Issue Feature Papers in AppliedMath)
  • Article
  • Open Access
18 Citations
3,383 Views
9 Pages

The main idea of this paper is to study the chaotic behavior of Zakharov–Kuznetsov equation with perturbation. By taking the traveling wave transformation, we transform the perturbed Zakharov–Kuznetsov equation with dual-power law and tri...

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AppliedMath - ISSN 2673-9909