# Network Flow of Graph Theory and Its Application

### Ruiheng Zhang

#### 2024

#### Abstract

Network flow in graph theory is a theory that studies the most effective way to transport data or goods in various networks. This paper comprehensively reviews the basic concepts, theorems, algorithms, and their practical applications of network flow theory in graph theory. First, it introduces the basic concepts, origins, development process, and application scenarios of network flow in daily life, clarifying the motivation and purpose of studying network flow. Then, it defines some important terms and explains their relationships. Subsequently, this paper further discusses the core theorems and algorithms of network flow, analyzing the working principles, advantages and disadvantages, and application scenarios of each algorithm. In addition, this paper also explores advanced issues and special applications related to network flow. In the application and expansion section, it continues to analyze practical application cases of network flow in logistics and supply chain optimization, communication network design, project management key path analysis, and other fields. Finally, it discusses the current main challenges in the field of network flow and looks forward to possible research directions in the future.

Download#### Paper Citation

#### in Harvard Style

Zhang R. (2024). **Network Flow of Graph Theory and Its Application**. In *Proceedings of the 1st International Conference on Engineering Management, Information Technology and Intelligence - Volume 1: EMITI*; ISBN 978-989-758-713-9, SciTePress, pages 692-696. DOI: 10.5220/0012968800004508

#### in Bibtex Style

@conference{emiti24,

author={Ruiheng Zhang},

title={Network Flow of Graph Theory and Its Application},

booktitle={Proceedings of the 1st International Conference on Engineering Management, Information Technology and Intelligence - Volume 1: EMITI},

year={2024},

pages={692-696},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012968800004508},

isbn={978-989-758-713-9},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference on Engineering Management, Information Technology and Intelligence - Volume 1: EMITI

TI - Network Flow of Graph Theory and Its Application

SN - 978-989-758-713-9

AU - Zhang R.

PY - 2024

SP - 692

EP - 696

DO - 10.5220/0012968800004508

PB - SciTePress