Metanalysis of Algebraic Graph Theory

Recent advancements in Algebraic Graph Theory (AGT) emphasize community detection, graph clustering, and biological networks, such as Sequence Similarity Networks, Protein-Protein Interaction Networks (PPIs), and Gene Regulatory Networks (GRNs), which help researchers understand the complexity of biological systems.Environmental and Ecosystem Networks, including Ecological networks, Food webs, and Phylogenetic networks, contribute to understanding the mechanisms affecting fragile ecosystems and disease transmission.Novel graph networks, such as knowledge networks, graph neural networks, and brain networks, enable researchers to comprehend complex relationships in various systems.This article presents a comprehensive analysis of the recent advancements, trends, impact, and collaborative patterns within the field of AGT, with a focus on networks and graphs, biological networks, environmental and ecosystem networks, and several interconnected disciplines.A total of 772 scholarly publications from 1980 to 2022 were examined, revealing substantial growth in the field since 1990, along with an increasing number of publications, authors, and institutions involved.The United States and China have dominated AGT research, with 18,998 and 14,503 total citations, respectively, and high H-index scores of 58 for China and 35 for the United States.Countries such as Australia, with an average citation per publication of 74.8, demonstrate the quality and impact of their research, while Saudi Arabia, Qatar, Denmark, and South Africa exhibit high collaboration rates.The analysis of the top twenty institutions in AGT showed that 35% were from China and 30% from the United States.