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9 - Extreme Characteristics

from Part II - Erdős–Rényi–Gilbert Model

Published online by Cambridge University Press:  02 March 2023

Alan Frieze
Affiliation:
Carnegie Mellon University, Pennsylvania
Michał Karoński
Affiliation:
Adam Mickiewicz University, Poznań, Poland
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Summary

In this chapter, we look first at the diameter of random graphs, i.e., the extreme value of the shortest distance between a pair of vertices. Then we look at the size of the largest independent set and the related value of the chromatic number. One interesting feature of these parameters is that they are often highly concentrated.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Extreme Characteristics
  • Alan Frieze, Carnegie Mellon University, Pennsylvania, Michał Karoński, Adam Mickiewicz University, Poznań, Poland
  • Book: Random Graphs and Networks: A First Course
  • Online publication: 02 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781009260268.012
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  • Extreme Characteristics
  • Alan Frieze, Carnegie Mellon University, Pennsylvania, Michał Karoński, Adam Mickiewicz University, Poznań, Poland
  • Book: Random Graphs and Networks: A First Course
  • Online publication: 02 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781009260268.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Extreme Characteristics
  • Alan Frieze, Carnegie Mellon University, Pennsylvania, Michał Karoński, Adam Mickiewicz University, Poznań, Poland
  • Book: Random Graphs and Networks: A First Course
  • Online publication: 02 March 2023
  • Chapter DOI: https://doi.org/10.1017/9781009260268.012
Available formats
×