Triangle graph: Difference between revisions

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# It is the [[cycle graph]] on 3 vertices, and is denoted <math>C_3</math>.
# It is the [[cycle graph]] on 3 vertices, and is denoted <math>C_3</math>.
# It is the [[complete graph]] on 3 vertices, and is denoted <math>K_3</math>.
# It is the [[complete graph]] on 3 vertices, and is denoted <math>K_3</math>.
# It is the [[odd graph]] <math>O_2</math>, i.e., the [[Kneser graph]] <math>KG_{3,1}</math>.

Revision as of 03:35, 29 May 2012

This article defines a particular undirected graph, i.e., the definition here determines the graph uniquely up to graph isomorphism.
View a complete list of particular undirected graphs

Definition

This is a particular finite undirected graph defined as follows:

  1. It is a graph whose geometric realization is a triangle: it has three vertices and an edge between each pair of vertices.
  2. It is the cycle graph on 3 vertices, and is denoted .
  3. It is the complete graph on 3 vertices, and is denoted .
  4. It is the odd graph , i.e., the Kneser graph .