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Everything about Graph bandwidth

Node labeling problem in graph theory

In graph theory, the graph bandwidth problem may be visualized as placing the vertices of a given graph at distinct integer positions along the number line so that the length of the longest edge is minimized. Such placement is called linear graph arrangement, linear graph layout or linear graph placement. It may be formalized as labeling the vertices of a graph with distinct integers so that the quantity is minimized, where is the edge set of. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Graph bandwidthA 5-minute orientation
  2. Skim a recent paper: Active tunable terahertz bandwidth absorber based on single layer grapheneInfluential work since 2022
  3. Pick up a classic book: Network and Parallel ComputingThe most-reprinted book on the subject
  4. Read the landmark paper: Using High-Bandwidth Networks Efficiently for Fast Graph ComputationCited 57 times
  5. Go sideways: CutwidthA closely related topic
  6. Go sideways: PathwidthA closely related topic

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🏆 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.

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