Everything About ___
Live briefing

Everything about Clustering coefficient

Measure of how connected and clustered a node is in its graph

In graph theory, a clustering coefficient is a measure of the degree to which nodes in a graph tend to cluster together. Evidence suggests that in most real-world networks, and in particular social networks, nodes tend to create tightly knit groups characterised by a relatively high density of ties; this likelihood tends to be greater than the average probability of a tie randomly established between two nodes. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Clustering coefficientA 5-minute orientation
  2. Skim a recent paper: Finding compact and well-separated clusters: Clustering using silhouette coefficientsInfluential work since 2022
  3. Pick up a classic book: Communications, Signal Processing, and SystemsThe most-reprinted book on the subject
  4. Read the landmark paper: Generalizations of the clustering coefficient to weighted complex networksCited 591 times
  5. Go sideways: Erdős–Rényi modelA closely related topic
  6. Go sideways: Betweenness centralityA closely related topic

📖 Definitions

Noun A quantitative measure of how often the nodes of a graph cluster together, defined as the ratio of the number of links among the nodes to the maximum possible number of links.

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics