Limits and Structures in Graph Theory
Limits and Structures in Graph Theory is a research topic within Discrete Mathematics and Combinatorics. Science Explorer counts 13k research works in it since 1950. 14.3% of them reached the world's top 10% most cited for their field and year.
This cluster of papers explores limits, structures, and extremal problems in graph theory, focusing on topics such as graph limits, Szemerédi's theorem, hypergraphs, regularity lemma, Erdos-Rényi random graphs, Ramsey numbers, the sum-product phenomenon, quasirandomness, random regular graphs, and Dirac's theorem.
- Graph Limits
- Szemerédi's Theorem
- Hypergraphs
- Regularity Lemma
- Erdos-Rényi Random Graphs
- Ramsey Numbers
- Sum-Product Phenomenon
- Quasirandomness
- Random Regular Graphs
- Dirac's Theorem
- Research works
- 13k fractional, since 1950
- In the world top 10%
- 1.9k per year above
- Top-10% rate
- 14.3% share of its works in the world top 10%
- Growth, 2013–17 → 2018–22
- -2% the tick is no change
Which countries lead Limits and Structures in Graph Theory research?
By volume, China and the United States publish the most (430 and 387 works in 2022–2025).
By volume, 2022–2025
- 1 China 430 works
- 2 United States 387 works
- 3 United Kingdom 131 works
- 4 Canada 86 works
- 5 France 86 works
- 6 India 82 works
- 7 Germany 81 works
- 8 Russia 75 works
- 9 Hungary 71 works
- 10 Israel 58 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 Limits and Structures in Graph Theory research?
By volume in 2022–2025, Alfréd Rényi Institute of Mathematics publishes the most Limits and Structures in Graph Theory research, followed by ETH Zurich and University of Oxford.
By volume, 2022–2025
- 1 Alfréd Rényi Institute of MathematicsHungary 42 works
- 2 ETH ZurichSwitzerland 30 works
- 3 University of OxfordUnited Kingdom 26 works
- 4 Tel Aviv UniversityIsrael 18 works
- 5 Nankai UniversityChina 18 works
- 6 Centre National de la Recherche ScientifiqueFrance 17 works
- 7 Princeton UniversityUnited States 17 works
- 8 University of WarwickUnited Kingdom 17 works
- 9 University of Science and Technology of ChinaChina 16 works
- 10 Charles UniversityCzechia 16 works
Who are the leading researchers in Limits and Structures in Graph Theory?
The most-cited researchers publishing on Limits and Structures in Graph Theory include Donald E. Knuth, Steven J. Miller and Terence Tao.
- 1 Donald E. Knuth United States 4k citations
- 2 Steven J. Miller United States 3.8k citations
- 3 Terence Tao United States 3.1k citations
- 4 Oded Goldreich Israel 2.7k citations
- 5 Rudolf Ahlswede Germany 2.3k citations
Ranked by citations received across their whole record, among researchers with at least three works on this topic.
Where is Limits and Structures in Graph Theory research done?
The largest centres of Limits and Structures in Graph Theory research in 2022–2025 are Budapest (Hungary), Shanghai (China), Beijing (China) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Princeton, Budapest and Tel Aviv.
Largest cities, 2022–2025
Where it is the local speciality
- PrincetonUS · 21.1 works18×
- BudapestHU · 65.7 works17×
- Tel AvivIL · 21.8 works14×
Location quotient: how much more of its research is in Limits and Structures in Graph Theory than the world average.
Where is the best place to study Limits and Structures in Graph Theory?
Among universities, judged by research, ETH Zurich, University of Warwick and University of Oxford 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 | ETH ZurichSwitzerland | 68.4 | 14.1% | 22.5× | 30 | +79.4% |
| 2 | University of WarwickUnited Kingdom | 64.6 | 26.7% | 19.0× | 17 | +27.2% |
| 3 | University of OxfordUnited Kingdom | 63.0 | 11.1% | 10.4× | 26 | +82.2% |
| 4 | University of BirminghamUnited Kingdom | 60.2 | 22.5% | 11.7× | 13 | +48.5% |
| 5 | Moscow Institute of Physics and TechnologyRussia | 58.1 | 15.9% | 39.9× | 10 | +291.6% |
| 6 | Tel Aviv UniversityIsrael | 56.8 | 15.2% | 17.5× | 18 | +36.7% |
| 7 | Georgia Institute of TechnologyUnited States | 55.8 | 29.9% | 10.5× | 13 | -63.8% |
| 8 | Massachusetts Institute of TechnologyUnited States | 54.9 | 17.4% | 13.0× | 16 | +8.4% |
| 9 | Princeton UniversityUnited States | 51.6 | 16.6% | 20.0× | 17 | -33.7% |
| 10 | Hunan UniversityChina | 51.6 | 41.1% | 6.5× | 9 | +81.2% |
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 Limits and Structures in Graph Theory research growing?
Output in 2018–2022 was 2% lower than in 2013–2017, peaking in 2023. The fastest-growing topics are Limits and Structures in Graph Theory.
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.