Sparse ordinary graphs

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2005

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University of Hawaii at Manoa

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Abstract

Ordinary graphs are directed graphs that can be viewed as generalizations of symmetric block designs. They were introduced by Fossorier, Jezek, Nation and Pogel in [2] in an attempt to construct new finite projective planes. In this thesis we investigate some special cases of ordinary graphs, most prominently the case where nonadjacent vertices have no common neighbors. We determine all connected graphs of this type that exist.

Description

vii, 65 leaves, bound ; 29 cm.
Thesis (Ph. D.)--University of Hawaii at Manoa, 2005.

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Graphic methods.

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vii, 65 leaves

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Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics ; no. 4672

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Table of Contents

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