Non-transversal Vectors of Some Finite Geometries
Combinatorics
2016-06-28 v2
Abstract
By means of associated structural invariants, we efficiently construct four biplanes of order 9 - except the one with the smallest automorphism group, that is found by Janko and Trung. The notion of non-transversal vector is introduced since we observed related properties that provide significantly more efficient constructions. There is a dichotomy in the structure of biplanes of order 7 and 9 with respect to the incidence matrix symmetry.
Keywords
Cite
@article{arxiv.1509.03218,
title = {Non-transversal Vectors of Some Finite Geometries},
author = {Ivica Martinjak},
journal= {arXiv preprint arXiv:1509.03218},
year = {2016}
}
Comments
12 pages