Introduction to Quantum Graphs and Their Stability Analysis

Samanta, Sovan; Allahviranloo, Tofigh

doi:10.22034/cmde.2025.63178.2816

Introduction to Quantum Graphs and Their Stability Analysis

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, W.B-721636, India.

² Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Türkiye.

10.22034/cmde.2025.63178.2816

Abstract

Quantum graphs have dynamic vertices and edges. The vertices and edges are assigned by functions. These type of representations of graphs can represent time dependent network structures. The network characteristics can be visible at any point of time. The networks such as brain networks, or biological disease networks can be represented by quantum graphs and hence the characteristics and parameters of quantum graphs are important research area. This study discusses the properties of quantum graphs. Additionally, the real examples and the area of applications are provided.

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