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Local recognition of the line graph of an anisotropic vector space

Local recognition of the line graph of an anisotropic vector space Let n ≥ 7 and let V be an ( n + 2)-dimensional vector space endowed with an anisotropic sesquilinear form. In this article we characterise the graph whose vertices are the two-dimensional subspaces of V and in which two vertices are adjacent if and only if the corresponding two-dimensional spaces are perpendicular with respect to the sesquilinear form. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Geometry de Gruyter

Local recognition of the line graph of an anisotropic vector space

Advances in Geometry , Volume 10 (1) – Jan 1, 2010

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Publisher
de Gruyter
Copyright
© de Gruyter 2010
ISSN
1615-715X
eISSN
1615-7168
DOI
10.1515/ADVGEOM.2009.033
Publisher site
See Article on Publisher Site

Abstract

Let n ≥ 7 and let V be an ( n + 2)-dimensional vector space endowed with an anisotropic sesquilinear form. In this article we characterise the graph whose vertices are the two-dimensional subspaces of V and in which two vertices are adjacent if and only if the corresponding two-dimensional spaces are perpendicular with respect to the sesquilinear form.

Journal

Advances in Geometryde Gruyter

Published: Jan 1, 2010

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