caa a22 4500 475807375 CHVBK 20180406123750.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1023/A:1008378226142 doi (NATIONALLICENCE)springer-10.1023/A:1008378226142 Panigrahi Pratima Department of Mathematics, Indian Institute of Technology, 721302, Kharagpur, India aut The Non-Collinearity Graph of the O+(8,2) Quadric Is Uniquely Geometrisable [Elektronische Daten] [Pratima Panigrahi] The graph of the titlehas the points of the O+(8,2) polar space as itsvertices, two such vertices being adjacent iff the correspondingpoints are non-collinear in the polar space. We prove that, uptoisomorphism, there is a unique partial geometry pg(8,7,4)whose point graph is this graph. This is the partial geometryof Cohen, Haemers and Van Lint and De Clerck, Dye and Thas. Ouruniqueness proof shows that this geometry has a subgeometry isomorphicto the affine plane of order three, and the geometry is canonicallydescribeable in terms of this affine plane. Kluwer Academic Publishers, 2000 Strongly regular graph nationallicence partial geometry nationallicence regular cliques nationallicence bisections nationallicence trisection nationallicence Designs, Codes and Cryptography Kluwer Academic Publishers 20/3(2000-07-01), 307-317 0925-1022 20:3<307 2000 20 10623 https://doi.org/10.1023/A:1008378226142 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008378226142 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Panigrahi Pratima Department of Mathematics, Indian Institute of Technology, 721302, Kharagpur, India aut NATIONALLICENCE 773 0- Designs, Codes and Cryptography Kluwer Academic Publishers 20/3(2000-07-01), 307-317 0925-1022 20:3<307 2000 20 10623 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer