6533b854fe1ef96bd12af61f

RESEARCH PRODUCT

An optimal bound for embedding linear spaces into projective planes

Klaus Metsch

subject

CombinatoricsBlocking setDuality (projective geometry)Discrete Mathematics and CombinatoricsProjective spaceEmbeddingProjective planeFano planeTheoretical Computer ScienceMathematics

description

Abstract Linear spaces with υ >n 2 − 1 2 n + 1 points, b⩽n2 + n + 1 lines and not constant point degree are classified. It turns out that there is essentially one class of such linear spaces which are not near pencils and which can not be embedded into any projective plane of order n.

https://doi.org/10.1016/0012-365x(88)90080-5