Vipul: moved Hoffman-Singeton graph to Hoffman-Singleton graph

2012-05-29T21:32:52Z

moved Hoffman-Singeton graph to Hoffman-Singleton graph

← Older revision	Revision as of 21:32, 29 May 2012
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Vipul: Created page with "{{particular undirected graph}} ==Definition== The '''Hoffman-Singleton graph''' can be defined as the unique strongly regular graph of type $\operatorname{srg}(50,..."$

2012-05-29T21:32:41Z

Created page with "{{particular undirected graph}} ==Definition== The '''Hoffman-Singleton graph''' can be defined as the unique strongly regular graph of type <math>\operatorname{srg}(50,..."

New page

{{particular undirected graph}}

==Definition==

The '''Hoffman-Singleton graph''' can be defined as the unique [[strongly regular graph]] of type <math>\operatorname{srg}(50,7,0,1)</math>.

==Arithmetic functions==

===Size measures===

{| class="sortable" border="1"
! Function !! Value !! Explanation
|-
| {{arithmetic function value|size of vertex set|50}} ||
|-
| {{arithmetic function value|size of edge set|175}} ||
|}

===Numerical invariants associated with vertices===

Since the graph is a [[vertex-transitive graph]], any numerical invariant associated to a vertex must be equal on all vertices of the graph. Below are listed some of these invariants:

{| class="sortable" border="1"
! Function !! Value !! Explanation
|-
| {{arithmetic function value|degree of a vertex|7}} ||
|-
| {{arithmetic function value|eccentricity of a vertex|2}} ||
|}

Hoffman-Singleton graph - Revision history

Vipul: moved Hoffman-Singeton graph to Hoffman-Singleton graph

Vipul: Created page with "{{particular undirected graph}} ==Definition== The '''Hoffman-Singleton graph''' can be defined as the unique strongly regular graph of type \operatorname{srg}(50,..."

Vipul: Created page with "{{particular undirected graph}} ==Definition== The '''Hoffman-Singleton graph''' can be defined as the unique strongly regular graph of type $\operatorname{srg}(50,..."$