The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

In this paper, we introduce Fano subplanes of the projective plane of order 9 coordinatized
by elements of a left nearfield of order 9. We give an algorithm for checking\Fano subplanes …

It has been conjectured that all non-desarguesian projective planes contain a Fano
subplane. The Figueroa planes are a family of non-translation planes that are defined for …

A conjecture widely attributed to Neumann is that all finite non-desarguesian projective
planes contain a Fano subplane. In this note, we show that any finite projective plane of …

Existence and construction of combinatorial designs, projective and affine planes, nets has
been a topic, extensively studied during last 8-10 decades. Main interest arose from …

On Pappus configurations in Hall planes | Designs, Codes and Cryptography Skip to main
content Springer Nature Link Account Menu Find a journal Publish with us Track your research …

Finite Figueroa Planes Page 1 FINITE FIGUEROA PLANES by Bryan Petrak A dissertation
submitted to the Faculty of the University of Delaware in partial fulfillment of the requirements …

This thesis studies the Alon-Saks-Seymour Conjecture and the Rank-Coloring Conjecture
and their relationships to computer science. For a graph G, the chromatic number, x (G), is …

UNIVERSITY OF CALIFORNIA, SAN DIEGO Connections between graph theory, additive
combinatorics, and finite incidence geometry A di Page 1 UNIVERSITY OF CALIFORNIA …

This work was motivated by the well-known question:" Does there exist a non-desarguesian
projective plane of prime order?" For a prime p< 11, there is only the pappian plane of order …