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

Document Type : Research Paper

Authors

¹ 1. Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, W.B-721636, India. 2. Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Türkiye.

² 1. Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Türkiye. 2. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

10.22034/cmde.2025.63178.2816

Abstract

Quantum graphs have dynamic vertices and edges. The vertices and edges are assigned by functions. These types of representations of graphs can represent time-dependent network structures. The network characteristics can be visible at any point in 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 an important research area. This study discusses the properties of quantum graphs. Additionally, real examples and the area of applications are provided.

Keywords

Main Subjects

Dynamical systems and ergodic theory

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