Self-dual, not self-polar

A. E. Brouwer; Peter J. Cameron; W. H. Haemers; D. A. Preece

doi:10.1016/j.disc.2004.11.027

Self-dual, not self-polar

A. E. Brouwer, Peter J. Cameron^*, W. H. Haemers, D. A. Preece

^*Corresponding author for this work

Centre for Interdisciplinary Research in Computational Algebra

Research output: Contribution to journal › Article › peer-review

Abstract

The smallest number of points of an incidence structure which is self-dual but not self-polar is 7. For non-binary structures (where a "point" may occur more than once in a "block") the number is 6.

Original language	English
Pages (from-to)	3051-3053
Number of pages	3
Journal	Discrete Mathematics
Volume	306
Issue number	23 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.disc.2004.11.027
Publication status	Published - 6 Dec 2006

Keywords

Incidence structure
Self-dual
Self-polar

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10.1016/j.disc.2004.11.027

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title = "Self-dual, not self-polar",

abstract = "The smallest number of points of an incidence structure which is self-dual but not self-polar is 7. For non-binary structures (where a {"}point{"} may occur more than once in a {"}block{"}) the number is 6.",

keywords = "Incidence structure, Self-dual, Self-polar",

author = "Brouwer, {A. E.} and Cameron, {Peter J.} and Haemers, {W. H.} and Preece, {D. A.}",

year = "2006",

month = dec,

day = "6",

doi = "10.1016/j.disc.2004.11.027",

language = "English",

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journal = "Discrete Mathematics",

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T1 - Self-dual, not self-polar

AU - Brouwer, A. E.

AU - Cameron, Peter J.

AU - Haemers, W. H.

AU - Preece, D. A.

PY - 2006/12/6

Y1 - 2006/12/6

N2 - The smallest number of points of an incidence structure which is self-dual but not self-polar is 7. For non-binary structures (where a "point" may occur more than once in a "block") the number is 6.

AB - The smallest number of points of an incidence structure which is self-dual but not self-polar is 7. For non-binary structures (where a "point" may occur more than once in a "block") the number is 6.

KW - Incidence structure

KW - Self-dual

KW - Self-polar

U2 - 10.1016/j.disc.2004.11.027

DO - 10.1016/j.disc.2004.11.027

M3 - Article

AN - SCOPUS:33750368488

SN - 0012-365X

VL - 306

SP - 3051

EP - 3053

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 23 SPEC. ISS.

ER -

Self-dual, not self-polar

Abstract

Keywords

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