2010-01-01Zeitschriftenartikel DOI: 10.1515/ADVGEOM.2009.033
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.
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