Directed and Undirected Graphs

Guerino Mazzola, Maria Mannone, Yan Pang

Research output: Chapter in Book/Report/Conference proceedingChapter


Up to now, we have been able to construct all basic number domains ℕ, ℤ, ℚ, ℝ, ℂ. But we have not considered geometric objects. This chapter begins to fill that gap. It introduces the most elementary geometric objects: graphs—systems of points and arrows connected by directed or undirected lines. We shall conclude part IV with the introduction of higher-dimension graphical objects that relate to coverings of sets by a system of subsets.

Original languageEnglish (US)
Title of host publicationComputational Music Science
PublisherSpringer Nature
Number of pages7
StatePublished - 2016

Publication series

NameComputational Music Science
ISSN (Print)1868-0305
ISSN (Electronic)1868-0313

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing Switzerland.


  • Category Theory
  • Hamilton Cycle
  • Span Tree
  • Undirected Graph
  • Unordered Pair


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