scholarly journals Graph Theory in the Analysis of Arithmophobia

2019 ◽  
Vol 8 (12) ◽  
pp. 3637-3640
Keyword(s):  
Graph Theory ◽  
Graphical Interface ◽  
Theoretical Concepts ◽  
Wheel Graph ◽  
Student’S Performance

In this paper, Graph theoretical concepts are applied to analyze the reasons behind Arithmophobia commonly found among the students.Bull graph is used to epitomize Mild Arithmophobia which occurs when the preparation of students to face any test is deficient.Flower graph is used to represent Intense Arithmophobia. Wheel graph is used to depict the factors which desensitize Arithmophobia. Inferring information from these types of graphs is much more easier than inferring from a self map. This analysis will help in treating Arithmophobia and improve the student’s performance in Mathematics progressively. The benefits of using interactive graphical interface, graphs and graph theory metrics for a client centered analysis is also discussed

Total Irregularity Strengths of an Arbitrary Disjoint Union of (3,6)- Fullerenes

2020 ◽  
Vol 23 ◽  
Author(s):  
Ayesha Shabbir ◽  
Muhammad Faisal Nadeem ◽  
Mohammad Ovais ◽  
Faraha Ashraf ◽  
Sumiya Nasir
Keyword(s):  
Graph Theory ◽  
Lower Bound ◽  
Coding Theory ◽  
Disjoint Union ◽  
Fullerene Molecule ◽  
Graph Labeling ◽  
Fullerene Graph ◽  
Theoretical Concepts ◽  
Large Numbers ◽  
Fullerene Graphs

Aims and Objective: A fullerene graph is a mathematical model of a fullerene molecule. A fullerene molecule or simply a fullerene is a polyhedral molecule made entirely of carbon atoms other than graphite and diamond. Chemical graph theory is a combination of chemistry and graph theory where graph theoretical concepts used to study physical properties of mathematically modeled chemical compounds. Graph labeling is a vital area of graph theory which has application not only within mathematics but also in computer science, coding theory, medicine, communication networking, chemistry and in many other fields. For example, in chemistry vertex labeling is being used in the constitution of valence isomers and transition labeling to study chemical reaction networks. Method and Results: In terms of graphs vertices represent atoms while edges stand for bonds between atoms. By tvs (tes) we mean the least positive integer for which a graph has a vertex (edge) irregular total labeling such that no two vertices (edges) have same weights. A (3,6)-fullerene graph is a non-classical fullerene whose faces are triangles and hexagons. Here, we study the total vertex (edge) irregularity strength of an arbitrary disjoint union of (3,6)-fullerene graphs and providing their exact values. Conclusion: The lower bound for tvs (tes) depending on the number of vertices, minimum and maximum degree of a graph exists in literature while to get different weights one can use sufficiently large numbers, but it is of no interest. Here, by proving that the lower bound is the upper bound we close the case for (3,6)-fullerene graphs.

scholarly journals Spectrum Matriks Detour dari Graf Roda dengan n +1 Titik W_n

2020 ◽  
Vol 3 (1) ◽  
pp. 32
Author(s):  
Muhammad Abdy ◽  
Rahmat Syam ◽  
Agnes Monica Putri
Keyword(s):  
Graph Theory ◽  
Linear Algebra ◽  
Eigenvalues And Eigenvectors ◽  
Interesting Topic ◽  
Order Matrix ◽  
Wheel Graph

Penelitian ini bertujuan untuk  menentukan spectrum matriks detour dari graf roda dengan n+1 titik Wn. Spectrum dalam teori graf merupakan suatu topik menarik untuk dikaji dengan mempertemukan teori graf dan aljabar linear. Bentuk spectrum matriks detour adalah salah satu spectrum yang dapat ditentukan dalam graf roda. Matriks berordo (2 × n) yang terdiri dari nilai eigen berbeda dan banyak basis ruang eigen dari matriks terhubung langsung graf roda merupakan spectrum dari graf roda. Hasil penelitian ini menunjukkan bahwa langkah-langkah dalam menentukan spectrum matriks detour dari graf roda n+1 titik Wn, yaitu: menentukan graf roda dengan n + 1 titik Wn; menentukan detour, nilai eigen dan vektor eigen dari graf roda dengan n + 1 titik Wn,; melihat spectrum dan pola spectrum matriks detour dari graf roda n+1 titik Wn; pola yang didapat berupa dugaan kemudian dibuktikan dengan merumuskan suatu teorema yang dilengkapi dengan bukti.   Kata Kunci: Spectrum, Matriks Detour, Graf RodaThis study aims to determine the spectrum of detour matrix from the wheel graph with n+1 point Wn. Spectrum in graph theory is an interesting topic to review by bringing together graph theory and linear algebra. The form of the spectrum of detour matrix is one of the spectrums that can be determined in the wheel graph. The order matrix (2 × n) which consists of different eigenvalues and many the eigen space base from matrix adjacent wheel graph  is the spectrum of wheel graph. The results of this study show that steps in determining spectrum of detour matrix from the wheel graph with n+1 point Wn, that is: determine the wheel graph with n+1 point Wn; determine the detour; eigenvalues and eigenvectors of the wheel graph with n+1 point Wn; see the spectrum and patterns spectrum of detour matrix from the wheel graph with n+1 point Wn; pattern obtained in the form of conjecture then proved by formulating a theorem equipped with proof.Keywords: Spectrum, Detour Matrix, Wheel Graph.

Models of Thermodynamic Properties of Prominences

1979 ◽  
Vol 44 ◽  
pp. 349-355
Author(s):  
R.W. Milkey
Keyword(s):  
Thermodynamic Properties ◽  
Mass Transport ◽  
Emission Spectrum ◽  
Thermodynamic Parameters ◽  
Working Group ◽  
Physical Processes ◽  
Theoretical Concepts ◽  
Group 3 ◽  
Observational Techniques

The focus of discussion in Working Group 3 was on the Thermodynamic Properties as determined spectroscopically, including the observational techniques and the theoretical modeling of physical processes responsible for the emission spectrum. Recent advances in observational techniques and theoretical concepts make this discussion particularly timely. It is wise to remember that the determination of thermodynamic parameters is not an end in itself and that these are interesting chiefly for what they can tell us about the energetics and mass transport in prominences.

What’s Next?

2011 ◽  
Vol 23 (1) ◽  
pp. 60-63 ◽  
Author(s):  
Peter Vorderer
Keyword(s):  
Cultural Differences ◽  
Factor Model ◽  
New Developments ◽  
Theoretical Concepts ◽  
Open Questions ◽  
Entertainment Products ◽  
Entertainment Theory

This paper points to new developments in the context of entertainment theory. Starting from a background of well-established theories that have been proposed and elaborated mainly by Zillmann and his collaborators since the 1980s, a new two-factor model of entertainment is introduced. This model encompasses “enjoyment” and “appreciation” as two independent factors. In addition, several open questions regarding cultural differences in humans’ responses to entertainment products or the usefulness of various theoretical concepts like “presence,” “identification,” or “transportation” are also discussed. Finally, the question of why media users are seeking entertainment is brought to the forefront, and a possibly relevant need such as the “search for meaningfulness” is mentioned as a possible major candidate for such an explanation.

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