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Everything about Graph canonization

Task in computational graph theory

In graph theory, a branch of mathematics, graph canonization is the problem of finding a canonical form of a given graph G. A canonical form is a labeled graph Canon(G) that is isomorphic to G, such that every graph that is isomorphic to G has the same canonical form as G. Thus, from a solution to the graph canonization problem, one could also solve the problem of graph isomorphism: to test whether two graphs G and H are isomorphic, compute their canonical forms Canon(G) and Canon(H), and test whether these two canonical forms are identical. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Graph canonizationA 5-minute orientation
  2. Skim a recent paper: Canonization of graphs during transistor circuits decompilationInfluential work since 2022
  3. Pick up a classic book: Mathematical structures for computer scienceThe most-reprinted book on the subject
  4. Read the landmark paper: Detection of Network Motif Based on a Novel Graph Canonization Algorithm from Transcriptional Regulation NetworksCited 19 times
  5. Go sideways: Graph isomorphism problemA closely related topic
  6. Go sideways: Graph isomorphismA closely related topic

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🗂️ The subject at a glance

  1. Computational complexity
  2. Applications

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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