G. Royle

activity

20032024

most citedThe Brown-Colbourn conjecture on zeros of reliability polynomials is false

32 citations · 173 across the 34 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.CO2017

The binary $q$ -analogue of the Fano plane has a trivial automorphism group

John Bamberg, Ferdinand Ihringer, Jesse Lansdown +1

A $q$ -analogue of a $t$ -design is a set $S$ of subspaces (of dimension $k$ ) of a finite vector space $V$ over a field of order $q$ such that each $t$ subspace is contained in a con…

math.CO2017★ 7 cited

On regular induced subgraphs of generalized polygons

John Bamberg, Anurag Bishnoi, Gordon F. Royle

The cage problem asks for the smallest number $c (k, g)$ of vertices in a $k$ -regular graph of girth $g$ and graphs meeting this bound are known as cages. While cages are known to ex…

The binary q-analogue of the Fano plane has a trivial automorphism group

On regular induced subgraphs of generalized polygons

The binary $q$ -analogue of the Fano plane has a trivial automorphism group