Graph theory is a branch of mathematics and becoming progressively more important research area owing to its usefulness in diverse research fields. Usually, graph theory is used to model some empirical situation or binary relationship among various entities. This study aims to reveal the global research trends and the contribution from various countries, research institutes, scientific journals as well as areas of research through scientometric analysis. Alongside, this study aims to identify the research fronts of graph theory during successive periods by analyzing the research areas and research topics. About 20,260 publications in the graph theory research within a time span of 1986–2015 were retrieved and analyzed from Web of Science. This study revealed the most important and newly emerged research areas. Evolving trend of the research fronts in this field was visualized by drawing the keyword co-occurrence maps during successive periods.

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图论研究进展及其应用的科学计量分析

图论是数学的一个分支，由于其在不同研究领域的实用性，它逐渐成为越来越重要的研究领域。通常，图论用于模拟各种实体之间的一些经验情况或二元关系。本研究旨在通过科学计量分析揭示全球研究趋势和各国、研究机构、科学期刊以及研究领域的贡献。此外，本研究旨在通过分析研究领域和研究主题，确定连续时期图论的研究前沿。从 Web of Science 检索和分析了 1986 年至 2015 年期间图论研究中的大约 20,260 篇出版物。这项研究揭示了最重要和新出现的研究领域。