Nonisomorphic two‐dimensional algebraically defined graphs over R ${\mathbb{R}}$
Brian G. Kronenthal,
Joe Miller,
Alex Nash
et al.
Abstract:For , let be a two‐dimensional algebraically defined graph, that is, a bipartite graph where each partite set is a copy of and two vertices and are adjacent if and only if . It is known that has girth 6 and can be extended to the point‐line incidence graph of the classical real projective plane. However, it was unknown whether there exists such that has girth 6 and is nonisomorphic to . This paper answers this question affirmatively and thus provides a construction of a nonclassical real projective plan… Show more
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