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On distances and metrics in discrete ord...

Foldes, Stephan...

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On distances and metrics in discrete ordered sets by Foldes, Stephan ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	25-08-2023
Summary	Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality, and restriction of the distance to finite chains may or may not coincide with the natural, difference-of-height distance measured in a chain. For semilattices, a semimodularity condition ensures the good behavior of the distances considered. This condition is trivially satisfied by trees, and in lattices it coincides with the usual semimodularity property. For a large class of distance functions the triangle inequality is equivalent to semimodularity.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1307.0244

Citation

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AMA 11th EditionReferences

Foldes, Stephan. On distances and metrics in discrete ordered sets. Australian National University. August 25, 2023. Accessed October 23, 2024. https://online.provdatabase.com/cite/20949

APA 7th EditionReferences

Foldes, Stephan. (2023). On distances and metrics in discrete ordered sets. Australian National University. https://online.provdatabase.com/cite/20949

Chicago 17th EditionReferences

Foldes, Stephan. On distances and metrics in discrete ordered sets. Australian National University. 2023. https://online.provdatabase.com/cite/20949

HarvardReferences

Foldes, Stephan. (2023). On distances and metrics in discrete ordered sets. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/20949. (Accessed 23 October 2024).

Harvard AustraliaReferences

Foldes, Stephan, 2023, On distances and metrics in discrete ordered sets, Australian National University, viewed 23 October 2024, <https://online.provdatabase.com/cite/20949>

MLA 9th EditionWorks Cited

Foldes, Stephan. On distances and metrics in discrete ordered sets. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/20949.

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