Link (geometry) - Revision history

Karl Jones: /* External links */

2016-04-22T13:12:02Z

‎External links

Karl Jones at 22:15, 20 April 2016

2016-04-20T22:15:54Z

Karl Jones: /* Example */

2016-02-05T16:43:25Z

‎Example

Karl Jones at 12:33, 1 September 2015

2015-09-01T12:33:06Z

Karl Jones: Etc

2015-09-01T12:14:34Z

Etc

New page

In [[geometry]], the '''link''' of a vertex of a [[Two-dimensional space|2-dimensional]] [[simplicial complex]] is a [[Graph (mathematics)|graph]] that encodes information about the local structure of the complex at the [[Vertex (geometry)|vertex]].

== Example ==

The link of a vertex of a tetrahedron is a triangle -- the three vertices of the link corresponds to the three edges incident to the vertex, and the three edges of the link correspond to the faces incident to the vertex.

In this example, the link can be visualized by cutting off the vertex with a plane; formally, intersecting the tetrahedron with a plane near the vertex -- the resulting cross-section is the link.

TO DO - finish this section, provide image

== Analog to sphere centered a point ==

A link is a graph-theoretic analog to a sphere centered at a point.

== See also ==

* [[Geometry]]
* [[Graph (mathematics)]]
* [[Graph theory]]
* [[Simplicial complex]]
* [[Two-dimensional space]]
* [[Vertex (geometry)]]

== External links ==

* [https://en.wikipedia.org/wiki/Link_(geometry) Link (geometry)] @ Wikipedia

← Older revision		Revision as of 13:12, 22 April 2016
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	[[Category:Geometry]]		[[Category:Geometry]]
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	[[Category:Mathematics]]		[[Category:Mathematics]]

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	* [https://en.wikipedia.org/wiki/Link_(geometry) Link (geometry)] @ Wikipedia		* [https://en.wikipedia.org/wiki/Link_(geometry) Link (geometry)] @ Wikipedia
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		+	[[Category:Geometry]]
		+	[[Category:Mathematics]]

← Older revision		Revision as of 16:43, 5 February 2016
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	In this example, the link can be visualized by cutting off the vertex with a plane; formally, intersecting the tetrahedron with a plane near the vertex -- the resulting cross-section is the link.		In this example, the link can be visualized by cutting off the vertex with a plane; formally, intersecting the tetrahedron with a plane near the vertex -- the resulting cross-section is the link.
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−	~~TO DO - finish this section, provide image~~

	== Analog to sphere centered a point ==		== Analog to sphere centered a point ==

← Older revision		Revision as of 12:33, 1 September 2015
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−	In [[geometry]], the '''link''' of a vertex of a [[Two-dimensional space\|2-dimensional]] [[simplicial complex]] is a [[Graph (mathematics)\|graph]] that encodes information about the local structure of the complex at the [[Vertex (geometry)\|vertex]].	+	In [[geometry]], the '''link''' of a vertex of a [[Two-dimensional space\|two-dimensional]] [[simplicial complex]] is a [[Graph (mathematics)\|graph]] that encodes information about the local structure of the complex at the [[Vertex (geometry)\|vertex]].

	== Example ==		== Example ==