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Complexity and Algorithms in Graphs

Complexity and Algorithms in Graphs is a research topic within Computational Theory and Mathematics. Science Explorer counts 21k research works in it since 1959. 24.4% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on combinatorial optimization, approximation algorithms, complexity theory, graph algorithms, submodular functions, network flows, matrix multiplication, communication complexity, linear programming, and algorithmic applications.

  • Combinatorial Optimization
  • Approximation Algorithms
  • Complexity Theory
  • Graph Algorithms
  • Submodular Functions
  • Network Flows
  • Matrix Multiplication
  • Communication Complexity
  • Linear Programming
  • Algorithmic Applications
Research works
21k
fractional, since 1959
In the world top 10%
5.2k
per year above
Top-10% rate
24.4%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
-2%
the tick is no change

Which countries lead Complexity and Algorithms in Graphs research?

By volume, the United States and China publish the most (618 and 478 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 618 works
  2. 2 China 478 works
  3. 3 India 200 works
  4. 4 Germany 186 works
  5. 5 France 148 works
  6. 6 Japan 132 works
  7. 7 Israel 131 works
  8. 8 United Kingdom 114 works
  9. 9 Canada 89 works
  10. 10 Italy 64 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.

United States: 28.6%China: 22.1%India: 9.2%Germany: 8.6%6 others listed: 31.4%29%largest
United States618 · 28.6%China478 · 22.1%India200 · 9.2%Germany186 · 8.6%6 others listed677 · 31.4%

Shares of the rows listed above, not of the whole node.

Which institutions lead Complexity and Algorithms in Graphs research?

By volume in 2022–2025, ETH Zurich publishes the most Complexity and Algorithms in Graphs research, followed by Centre National de la Recherche Scientifique and Massachusetts Institute of Technology.

Who are the leading researchers in Complexity and Algorithms in Graphs?

The most-cited researchers publishing on Complexity and Algorithms in Graphs include Dan Boneh, Ronald L. Rivest and Adi Shamir.

  1. 1 Dan Boneh United States 7.5k citations
  2. 2 Ronald L. Rivest United States 7.3k citations
  3. 3 Adi Shamir Israel 6.3k citations
  4. 4 David R. Karger United States 5.2k citations
  5. 5 Michael I. Jordan United States 4.8k citations
  6. 6 Robert E. Tarjan United States 3.9k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Complexity and Algorithms in Graphs research done?

The largest centres of Complexity and Algorithms in Graphs research in 2022–2025 are Beijing (China), Paris (France), Tokyo (Japan) and Shanghai (China). Among places with at least 20 works in it, it is an unusually large share of all research in Saarbrücken, Beersheba and Haifa.

Largest cities, 2022–2025

  1. 1 Beijing China 111 works
  2. 2 Paris France 59 works
  3. 3 Tokyo Japan 57 works
  4. 4 Shanghai China 43 works
  5. 5 Cambridge United States 40 works
  6. 6 New York United States 37 works
  7. 7 Zurich Switzerland 34 works
  8. 8 Chennai India 33 works
  9. 9 Pittsburgh United States 29 works
  10. 10 Haifa Israel 27 works

Where it is the local speciality

  1. SaarbrückenDE · 24.0 works25×
  2. BeershebaIL · 21.9 works20×
  3. HaifaIL · 27.4 works14×
  4. WaterlooCA · 25.6 works13×
  5. Tel AvivIL · 27.4 works13×
← less than its size predictsmore →

Location quotient: how much more of its research is in Complexity and Algorithms in Graphs than the world average.

See Complexity and Algorithms in Graphs on the map

Where is the best place to study Complexity and Algorithms in Graphs?

Among universities, judged by research, École Polytechnique Fédérale de Lausanne, ETH Zurich and Aarhus University 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.

0%20%40%mean 20.49%fractional works in this node (log) →share in the world top 10% →École Polytechnique Fédérale de Lausanne: 14, 25.3%ETH Zurich: 30, 12.8%Aarhus University: 14, 38.5%Massachusetts Institute of Technology: 27, 16.5%Carnegie Mellon University: 27, 15.5%Tel Aviv University: 25, 14.6%Weizmann Institute of Science: 20, 15.9%University of Waterloo: 24, 10.3%The University of Texas at Austin: 14, 37.0%Bar-Ilan University: 13, 18.5%Aarhus UniversityÉcole Polytechnique …Massachusetts Instit…ETH Zurich
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 École Polytechnique Fédérale de LausanneSwitzerland 64.025.3%11.8×14 +33.7%
2 ETH ZurichSwitzerland 63.912.8%16.2×30 +5.1%
3 Aarhus UniversityDenmark 63.338.5%7.0×14 -16.5%
4 Massachusetts Institute of TechnologyUnited States 60.016.5%15.8×27 -18.4%
5 Carnegie Mellon UniversityUnited States 58.115.5%23.6×27 -5.5%
6 Tel Aviv UniversityIsrael 57.214.6%16.6×25 -14.3%
7 Weizmann Institute of ScienceIsrael 56.715.9%49.4×20 -24.7%
8 University of WaterlooCanada 54.010.3%15.8×24 -14.2%
9 The University of Texas at AustinUnited States 53.237.0%5.9×14 -16.3%
10 Bar-Ilan UniversityIsrael 51.318.5%18.1×13 +19.0%

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 Complexity and Algorithms in Graphs research growing?

Output in 2018–2022 was 2% lower than in 2013–2017, peaking in 2015. The fastest-growing topics are Complexity and Algorithms in Graphs.

19801990200020102020
grewheldshrank

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.