J. Širáň

activity

20162023

most citedOn the upper embedding of symmetric configurations with block size 3

5 citations · 7 across the 8 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CO2017

Asymptotically approaching the Moore bound for diameter three by Cayley graphs

Martin Bachratý, Jana Šiagiová, Jozef Širáň

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 fi…

math.CO2017

Orientably-regular maps on twisted linear fractional groups

Grahame Erskine, Katarína Hriňáková, Jozef Širáň

We present an enumeration of orientably-regular maps with automorphism group isomorphic to the twisted linear fractional group $M (q^{2})$ for any odd prime power $q$ .