Graph theory and applications
Graph theory and applications is a research topic within Geometry and Topology. Science Explorer counts 18k research works in it since 1950. 15.6% of them reached the world's top 10% most cited for their field and year.
This cluster of papers focuses on the study of graph spectra, topological indices, Laplacian energy, resistance distance, and their applications in analyzing molecular structures and networks.
- Graph Spectra
- Topological Indices
- Laplacian Energy
- Resistance Distance
- Molecular Structure
- Eccentric Connectivity Index
- Spectral Radius
- Distance Spectra
- Eigenvalues
- Networks
- Research works
- 18k fractional, since 1950
- In the world top 10%
- 2.8k per year above
- Top-10% rate
- 15.6% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- +29% the tick is no change
Which countries lead Graph theory and applications research?
By volume, China and India publish the most (855 and 495 works in 2022–2025).
By volume, 2022–2025
- 1 China 855 works
- 2 India 495 works
- 3 United States 349 works
- 4 Pakistan 158 works
- 5 Russia 102 works
- 6 Iran 99 works
- 7 United Kingdom 81 works
- 8 Türkiye 80 works
- 9 Germany 79 works
- 10 Saudi Arabia 76 works
How concentrated that is
The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.
Shares of the rows listed above, not of the whole node.
Which institutions lead Graph theory and applications research?
By volume in 2022–2025, Vellore Institute of Technology University publishes the most Graph theory and applications research, followed by Xinjiang University and COMSATS University Islamabad.
By volume, 2022–2025
- 1 Vellore Institute of Technology UniversityIndia 41 works
- 2 Xinjiang UniversityChina 32 works
- 3 COMSATS University IslamabadPakistan 26 works
- 4 South China Normal UniversityChina 22 works
- 5 Qinghai Normal UniversityChina 21 works
- 6 East China University of Science and TechnologyChina 21 works
- 7 Nankai UniversityChina 20 works
- 8 Northwestern Polytechnical UniversityChina 19 works
- 9 Gulbarga UniversityIndia 19 works
- 10 Alfréd Rényi Institute of MathematicsHungary 18 works
Who are the leading researchers in Graph theory and applications?
The most-cited researchers publishing on Graph theory and applications include H. Eugene Stanley, Guanrong Chen and Steven J. Miller.
- 1 H. Eugene Stanley United States 5.5k citations
- 2 Guanrong Chen Hong Kong 5.4k citations
- 3 Steven J. Miller United States 3.8k citations
- 4 Jean‐Loup Guillaume France 3.6k citations
- 5 Terence Tao United States 3.1k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Graph theory and applications research done?
The largest centres of Graph theory and applications research in 2022–2025 are Shanghai (China), Beijing (China), Chennai (India) and Lahore (Pakistan). Among places with at least 20 works in it, it is an unusually large share of all research in Xining.
Largest cities, 2022–2025
Where it is the local speciality
- XiningCN · 35.3 works36×
Location quotient: how much more of its research is in Graph theory and applications than the world average.
Where is the best place to study Graph theory and applications?
Among universities, judged by research, COMSATS University Islamabad, Vellore Institute of Technology University and University of Lahore score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.
One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.
| # | University | Score | Top 10% | Specialisation | Works | Growth |
|---|---|---|---|---|---|---|
| 1 | COMSATS University IslamabadPakistan | 72.2 | 37.4% | 32.5× | 26 | — |
| 2 | Vellore Institute of Technology UniversityIndia | 69.4 | 38.7% | 12.2× | 41 | +35.6% |
| 3 | University of LahorePakistan | 62.7 | 44.6% | 20.0× | 12 | — |
| 4 | Sungkyunkwan UniversitySouth Korea | 62.3 | 63.9% | 6.9× | 13 | +62.5% |
| 5 | United Arab Emirates UniversityUnited Arab Emirates | 61.5 | 43.8% | 11.8× | 10 | — |
| 6 | Riphah International UniversityPakistan | 60.0 | 32.0% | 34.6× | 16 | — |
| 7 | East China University of Science and TechnologyChina | 59.8 | 30.8% | 12.4× | 21 | +78.8% |
| 8 | Jazan UniversitySaudi Arabia | 58.6 | 33.5% | 16.9× | 12 | — |
| 9 | Northumbria UniversityUnited Kingdom | 57.5 | 42.5% | 10.7× | 8 | — |
| 10 | University of KashmirIndia | 56.3 | 41.2% | 24.7× | 12 | — |
Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.
Is Graph theory and applications research growing?
Output in 2018–2022 was 29% higher than in 2013–2017, peaking in 2025. The fastest-growing topics are Graph theory and applications.
The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.
Which topics inside it are moving
Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.