Asymptotically approaching the Moore bound for diameter three by Cayley graphs

The largest order $n(d,k)$ of a graph of maximum degree $d$ and diameter $k$ cannot exceed the Moore bound, which has the form $M(d,k)=d^k - O(d^{k-1})$ for $d\to\infty$ and any fixed $k$. Known results in finite geometries on generalised $(k+1)$-gons imply, for $k=2,3,5$, the existence of an infini...

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Hauptverfasser:	Bachratý, Martin, Šiagiová, Jana, Širáň, Jozef
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Combinatorics
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