The Automorphism Group and the Convex Subgraphs of the Quadratic Forms Graph in Characteristic 2
A. Munemasa
, D.V. Pasechnik
and S.V. Shpectorov
DOI: 10.1023/A:1022428002320
Abstract
We determine the automorphism group and the convex subgraphs of the quadratic forms graph Quad( n,q), q even.
Pages: 411–419
Keywords: association scheme; distance-regular graph; space of quadratic forms; automorphism group; convex subgraph
Full Text: PDF
References
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2. Y. Egawa, "Association schemes of quadratic forms,"
7. Combin. Theory Series A 38 (1985), 1-14.
3. J. Hemmeter, and A. Woldar, "The complete list of maximal cliques of the Quad (n, q), q even," preprint.
4. L. -K. Hua, "Geometry of symmetric matrices over any field with characteristic other than two," Ann. Math. SO (1949), 8-31.
5. E.W. Lambeck, " Contributions to the theory of distance regular graphs," Ph.D. thesis, Technical University Eindhoven, 1990.
6. M.-L. Liu, "Geometry of alternate matrices," Ada Math. Sinica 16 (1966), 104-135.
7. A. Munemasa, D.V. Pasechnik, and S.V. Shpectorov, "A local characterization of the graphs of alternating forms and the graphs of quadratic forms over GF(2)," to appear.