Everything About ___
Live briefing

Everything about Common graph

Concept in extremal graph theory

In graph theory, an area of mathematics, common graphs belong to a branch of extremal graph theory concerning inequalities in homomorphism densities. Roughly speaking, is a common graph if it "commonly" appears as a subgraph, in a sense that the total number of copies of in any graph and its complement is a large fraction of all possible copies of on the same vertices. Intuitively, if contains few copies of, then its complement must contain lots of copies of in order to compensate for it. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Common graphA 5-minute orientation
  2. Skim a recent paper: KNN-GNN: A powerful graph neural network enhanced by aggregating K-nearest neighbors in common subspaceInfluential work since 2022
  3. Pick up a classic book: Algorithms in C++The most-reprinted book on the subject
  4. Read the landmark paper: A graph distance metric based on the maximal common subgraphCited 565 times
  5. Go sideways: GraphonA closely related topic
  6. Go sideways: Homomorphism densityA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🏆 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