Strongly regular graph: Difference between revisions

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The Hoffman–Singleton theorem: Moore graphs are SRG.
m Geodetic graphs: Rm superfluous word.
 
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===Triangle-free graphs===
The strongly regular graphs with λ = 0 are [[triangle-free graph|triangle free]]. Apart from the complete graphs on fewer than 3 vertices and all regular complete bipartite graphs that are regular, the seven listed earlier (pentagon, Petersen, Clebsch, Hoffman-Singleton, Gewirtz, Mesner-M22, and Higman-Sims) are the only known ones.
 
===Geodetic graphs===
Every strongly regular graph with <math>\mu = 1</math> is a [[geodetic graph]], a graph in which every two vertices have a unique [[Shortest path problem|unweighted shortest path]].<ref name=bb>{{citation
| last1 = Blokhuis | first1 = A.
| last2 = Brouwer | first2 = A. E. | authorlink = Andries Brouwer