Embedding the complement of two lines in a finite projective plane

Author:

Totten Jim

Abstract

In this paper we use a result from graph theory on the characterization of the line graphs of the complete bigraphs to show that if n is any integer ≥ 2 then any finite linear space having p = n2n or p = n2n + 1 points, of which at least n2n have degree n + 1, and qn2 + n − 1 lines is embeddable in an FPP of order n unless n = 4. If n = 4 there is only one possible exception for each of the two values of p, and for p = n2n, this exception can be embedded in the FPP of order 5.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Embedding the complement of an oval in a projective plane of even order

2. Combinatorial properties of finite linear spaces II;Paul;Bull. Soc. Math. Belg.,1975

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