Quantum Graphs and Related Works

Editors: Prof. Pushpendra Kumar & Dr. Dhilshath Shajahan

Publisher: ProVista Publishing

Type: Edited Book

Status: Call for Chapters Open

Chapter Submission Deadline: 30 July, 2026

About the Book

This edited volume presents recent advances and emerging research trends in quantum graph theory and its interdisciplinary applications across mathematics, physics, computer science, network science, biology, medicine, and engineering. Quantum graphs; metric graphs equipped with differential operators on their edges have become a powerful mathematical framework for modelling wave propagation, spectral phenomena, and complex network dynamics, bridging pure mathematical analysis with real-world scientific and technological applications.

The book brings together leading researchers and emerging scholars to explore both the theoretical foundations and practical implementations of quantum graph models. It welcomes rigorous mathematical analysis, computational methods, spectral graph theory, quantum walks, differential models on quantum graphs, quantum-inspired machine learning, and emerging applications across science and engineering.

Scope / Topics

The book is structured around three core pillars:

1. Foundations of Quantum Graph Theory

Covering the mathematical and spectral underpinnings of quantum graphs, including:

  • Quantum graph theory and spectral graph analysis
  • Differential equations on quantum graphs
  • Quantum walks on graphs
  • Graph Laplacians and spectral methods
  • Schrödinger equations on graphs
  • Fractional quantum graph models

2. Computational and AI-Driven Models

Focusing on algorithmic, computational, and intelligent modelling approaches, including:

  • Quantum graph neural networks
  • Quantum computing and graph algorithms
  • Quantum graph optimization
  • AI and machine learning with quantum graphs
  • Quantum-inspired computational methods

3. Interdisciplinary Applications

Exploring real-world applications of quantum graph models across domains, including:

  • Biological and medical network modelling
  • Protein–protein interaction networks
  • Drug–drug interaction prediction and drug discovery
  • Transport and diffusion on quantum graphs
  • Complex networks and synchronization
  • Engineering applications: communication and sensor networks
  • Cybersecurity using graph-theoretic methods
  • Financial and social network analysis
  • Future directions in quantum graph research

Submission Details

Full Chapter Submission Deadline: 30 July, 2026

Submission Emails: Submit your chapter to the editors at kumarsaraswatpk@gmail.com or dhilshajahan@gmail.com

Format: Kindly collect the LaTeX / Word template from the editors before submission.

Review Process: All submitted chapters will undergo peer review before acceptance.

Plagiarism and AI Content Policy

All submitted chapters must be original and should not be under consideration elsewhere. The maximum allowed similarity index is 25% (excluding references and properly cited content). Additionally, AI-generated content should be limited to no more than 10%.

Authors are expected to ensure that their work maintains academic integrity, proper citations, and originality. AI-assisted writing must be appropriately disclosed and scientifically verified by the authors, and should not replace the authors’ original intellectual contribution. Submissions that do not meet these criteria may be rejected without review.

Why Publish with Provista Publishers

  • Fast review process
  • ISBN assigned edited volume
  • Global visibility
  • Academic recognition

👉 Submit Your Chapter Now

Prof. Pushpendra Kumar  —  kumarsaraswatpk@gmail.com

Dr. Dhilshath Shajahan  —  dhilshajahan@gmail.com