19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
An explicit formula for obtaining generalized quadrangles and others small regular graphs of girth 8
Presented by Dr. Camino BALBUENA
Type: Oral presentation
Track: Polytopes and Incidence Geometries
Content
Let $q$ be a prime power. Minimal $(q+1,8)$-cages have been
constructed as a non-degenerate quadric surface in projective
4-space $P(4, q)$. The first contribution of this paper is a
construction of these graphs in an alternative way by means of an
explicit formula using graphical terminology. Furthermore we
derive $k$-regular graphs of girth 8 for $k\le q$ having the
smallest number of vertices known so far.
Place
Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled
Co-authors
- Mrs. Gabriela ARAUJO-PARDO UNAM
- Mrs. Marien ABREU Università degli Studi della Basilicata
- Mr. Domenico LABBATE Dipartimento di Matematica, Politecnico di Bari