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Graph Labeling and Dimension Problems

Graph Labeling and Dimension Problems is a research topic within Computational Theory and Mathematics. Science Explorer counts 15k research works in it since 1951. 8.7% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on various graph labeling and dimension problems, including metric dimension, resolvability, edge coloring, distinguishing number, irregularity strength, total edge irregularity, neighbor sum distinguishing, antimagic labeling, and computational complexity. The papers explore different aspects of assigning labels to the vertices and edges of graphs with applications in network discovery, security, and cryptographic constructions.

  • Graph Labeling
  • Metric Dimension
  • Resolvability
  • Edge Coloring
  • Distinguishing Number
  • Irregularity Strength
  • Total Edge Irregularity
  • Neighbor Sum Distinguishing
  • Antimagic Labeling
  • Computational Complexity
Research works
15k
fractional, since 1951
In the world top 10%
1.3k
per year above
Top-10% rate
8.7%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+25%
the tick is no change

Which countries lead Graph Labeling and Dimension Problems research?

By volume, India and China publish the most (575 and 506 works in 2022–2025).

By volume, 2022–2025

  1. 1 India 575 works
  2. 2 China 506 works
  3. 3 United States 272 works
  4. 4 Indonesia 257 works
  5. 5 Brazil 105 works
  6. 6 Pakistan 80 works
  7. 7 France 79 works
  8. 8 Iran 77 works
  9. 9 United Kingdom 59 works
  10. 10 Germany 54 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.

India: 27.8%China: 24.5%United States: 13.2%Indonesia: 12.5%6 others listed: 22.0%28%largest
India575 · 27.8%China506 · 24.5%United States272 · 13.2%Indonesia257 · 12.5%6 others listed454 · 22.0%

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

Which institutions lead Graph Labeling and Dimension Problems research?

By volume in 2022–2025, Universitas Jember publishes the most Graph Labeling and Dimension Problems research, followed by Universidade Federal de Santa Catarina and Vellore Institute of Technology University.

Who are the leading researchers in Graph Labeling and Dimension Problems?

The most-cited researchers publishing on Graph Labeling and Dimension Problems include Robert E. Tarjan, Bo Liu and Avi Wigderson.

  1. 1 Robert E. Tarjan United States 3.9k citations
  2. 2 Bo Liu China 2k citations
  3. 3 Avi Wigderson United States 1.8k citations

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

Where is Graph Labeling and Dimension Problems research done?

The largest centres of Graph Labeling and Dimension Problems research in 2022–2025 are Chennai (India), Jember (Indonesia), Florianópolis (Brazil) and Beijing (China). Among places with at least 20 works in it, it is an unusually large share of all research in Tirunelveli, Xining and Jinhua.

Largest cities, 2022–2025

  1. 1 Chennai India 93 works
  2. 2 Jember Indonesia 52 works
  3. 3 Florianópolis Brazil 47 works
  4. 4 Beijing China 43 works
  5. 5 Bengaluru India 40 works
  6. 6 Vellore India 39 works
  7. 7 Shanghai China 34 works
  8. 8 Nanjing China 28 works
  9. 9 Tianjin China 28 works
  10. 10 Lanzhou China 26 works

Where it is the local speciality

  1. TirunelveliIN · 26.0 works67×
  2. XiningCN · 23.6 works29×
  3. JinhuaCN · 20.8 works20×
  4. FlorianópolisBR · 47.3 works18×
← less than its size predictsmore →

Location quotient: how much more of its research is in Graph Labeling and Dimension Problems than the world average.

See Graph Labeling and Dimension Problems on the map

Where is the best place to study Graph Labeling and Dimension Problems?

Among universities, judged by research, Riphah International University, Vellore Institute of Technology University and Jazan 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 11.02%fractional works in this node (log) →share in the world top 10% →Riphah International University: 13, 33.9%Vellore Institute of Technology University: 34, 4.6%Jazan University: 11, 12.5%Universitas Jember: 49, 1.0%Menoufia University: 10, 19.3%Christ University: 22, 5.3%COMSATS University Islamabad: 12, 12.6%Universidade Federal de Santa Catarina: 47, 0.0%Bandung Institute of Technology: 21, 1.3%Central China Normal University: 12, 19.7%Riphah International…Jazan UniversityVellore Institute of…Universitas Jember
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 Riphah International UniversityPakistan 72.333.9%34.5×13
2 Vellore Institute of Technology UniversityIndia 61.84.6%12.4×34 +347.1%
3 Jazan UniversitySaudi Arabia 61.712.5%18.7×11 +207.8%
4 Universitas JemberIndonesia 61.11.0%30.4×49 +4065.8%
5 Menoufia UniversityEgypt 60.319.3%15.1×10 +148.6%
6 Christ UniversityIndia 57.45.3%22.6×22 +534.8%
7 COMSATS University IslamabadPakistan 56.212.6%18.6×12
8 Universidade Federal de Santa CatarinaBrazil 52.90.0%27.2×47
9 Bandung Institute of TechnologyIndonesia 52.71.3%11.2×21 +266.6%
10 Central China Normal UniversityChina 52.419.7%16.2×12 +17.3%

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 Labeling and Dimension Problems research growing?

Output in 2018–2022 was 25% higher than in 2013–2017, peaking in 2023. The fastest-growing topics are Graph Labeling and Dimension Problems.

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.