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math.CO2020
Pentagonal geometries with block sizes 3, 4 and 5
Anthony D. Forbes
A pentagonal geometry PENT(, ) is a partial linear space, where every line, or block, is incident with points, every point is incident with lines, and for each point…
math.CO2020★ 1 cited
Existence results for pentagonal geometries
Anthony D. Forbes, Terry S. Griggs, Klara Stokes
New results on pentagonal geometries PENT(k,r) with block sizes k = 3 or k = 4 are given. In particular we completely determine the existence spectra for PENT(3,r) systems with the…
math.CO2020
Designs for graphs with six vertices and ten edges -- II
Anthony D. Forbes, Terry S. Griggs
The design spectrum has been determined for ten of the 15 graphs with six vertices and ten edges. In this paper we solve the design spectrum problem for the remaining five graphs w…