Graph-Theoretic Problems and Their New Applications

Werner, Frank

doi:10.3390/math8030445

Cited by 7 publications

(4 citation statements)

References 23 publications

(20 reference statements)

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“…Graph theory is an area of discrete mathematics whose popularity has increased in recent years, not only regarding theoretical developments, but also regarding its applications for numerous aspects [39][40][41][42][43][44][45]. Graph theory can be easily used in solving daily life problems, and it has been employed quite frequently in more theoretical studies, data analyses, and artificial intelligence applications.…”

Section: Directed Correlation Networkmentioning

confidence: 99%

Network-Induced Soft Sets and Stock Market Applications

2022

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The intricacy of the financial systems reflected in bilateral ties has piqued the interest of many specialists. In this research, we introduce network-induced soft sets, a novel mathematical model for studying the dynamics of a financial stock market with several orders of interaction. To achieve its intelligent parameterization, this model relies on the bilateral connections between economic actors, who are agents in a financial network, rather than relying on any other single feature of the network itself. Our study also introduces recently developed statistical measures for network-induced soft sets and provides an analysis of their application to the study of financial markets. Findings validate the efficacy of this novel method in assessing the effects of various economic stress periods registered in Borsa Istanbul.

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Section: Directed Correlation Networkmentioning

confidence: 99%

Network-Induced Soft Sets and Stock Market Applications

2022

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“…Graph theory has one special advantage-a mathematical approach, which enables visualization of the problems and easy application of graph algorithms to some new problems [23], even if they are not closely related to graphs. Graph theory is widely used in various fields: computer science [24][25][26], energy, chemistry [27][28][29][30][31][32], traffic [33][34][35], medicine [36,37], social networks [38][39][40], etc.…”

Section: Graph Theorymentioning

confidence: 99%

Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization

et al. 2022

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Many recently published research papers examine the representation of nanostructures and biomimetic materials, especially using mathematical methods. For this purpose, it is important that the mathematical method is simple and powerful. Theory of fractals, artificial neural networks and graph theory are most commonly used in such papers. These methods are useful tools for applying mathematics in nanostructures, especially given the diversity of the methods, as well as their compatibility and complementarity. The purpose of this paper is to provide an overview of existing results in the field of electrochemical and magnetic nanostructures parameter modeling by applying the three methods that are “easy to use”: theory of fractals, artificial neural networks and graph theory. We also give some new conclusions about applicability, advantages and disadvantages in various different circumstances.

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“…Cahit 2002 [4]-canonic labeling technique, R.E. Aldred et al 1998 [5] -lobsters, Jesintha et al 2011 [6]-constructed certain infinite families of graceful Acharya 1982 [7], A. Gallian 2019 [8]-surveyed on graceful tree conjecture [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. A star graph can be defined as the complete bipartite graph ?…”

Section: Introductionmentioning

confidence: 99%

Labeling On Pentagonal Pyramidal Graceful Graph

AKannan

Meenakshi

Bramila³

2022

Preprint

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Numbers that can be expressed as (r (r+1)) /2 for all r ≥ 1 are called pentagonal pyramidal numbers. Assume G to be a graph with p vertices and q edges. Let Φ: V(G) →{0, 1, 2… B } where B is the c number with a pentagonal pyramid, be an injective function. Define the function Φ* :E(G) →{1,6,18,.., B } such that Φ * (ab) = |Φ(a)- Φ(b)| which is true for each and every edge abϵE(G). If Φ*(E(G)) represents a sequential arrangement of non-identical successive pentagonal pyramidal numbers {B , B , …, B }, then Φ can be regarded as the pentagonal pyramidal graceful labeling. The graph permitting labeling of such kind can be referred to as a pentagonal pyramidal graceful graph. This study examines some unique pentagonal pyramidal elegant graph labeling outcomes.

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Graph-Theoretic Problems and Their New Applications

Abstract: Graph theory is an important area of Applied Mathematics with a broad spectrum of applications in many fields [...]

Cited by 7 publications

References 23 publications

Network-Induced Soft Sets and Stock Market Applications

Network-Induced Soft Sets and Stock Market Applications

Fractal Nature Bridge between Neural Networks and Graph Theory Approach within Material Structure Characterization

Labeling On Pentagonal Pyramidal Graceful Graph

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