Summary
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.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Mazzola, G., Mannone, M., Pang, Y. (2016). Directed and Undirected Graphs. In: Cool Math for Hot Music. Computational Music Science. Springer, Cham. https://doi.org/10.1007/978-3-319-42937-3_15
Download citation
DOI: https://doi.org/10.1007/978-3-319-42937-3_15
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42935-9
Online ISBN: 978-3-319-42937-3
eBook Packages: Computer ScienceComputer Science (R0)