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Everything about Hypercube graph

Graphs formed by a hypercube's edges and vertices

In graph theory, the hypercube graph is the edge graph of the -dimensional hypercube, that is, it is the graph formed from the vertices and edges of the hypercube. For instance, the cube graph is the graph formed by the 8 vertices and 12 edges of a three-dimensional cube. has vertices, edges, and is a regular graph with edges touching each vertex. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Hypercube graphA 5-minute orientation
  2. Skim a recent paper: Optimal embeddings of the exchanged hypercube and the dual-cube as vertex-induced subgraphs of the hypercubeInfluential work since 2022
  3. Pick up a classic book: [Quantifying fault recovery in multiprocessor systems]The most-reprinted book on the subject
  4. Read the landmark paper: Efficient algorithms for list ranking and for solving graph problems on the hypercubeCited 18 times
  5. Go sideways: Odd graphA closely related topic
  6. Go sideways: Glossary of graph theoryA closely related topic

📖 Definitions

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🗂️ The subject at a glance

  1. Construction
  2. Examples
  3. Properties
  4. Problems

🏆 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