Substructure of projective
planes
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Given a projective
plane, what smaller planes and other structures can be found in
it. My focus is the family of finite Figueroa Planes, as well as
the
Hughes Planes. As a part of this effort I have created several
programs which are available here.
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| The bandwidth of projective
plane graphs |
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| Consider
a graph with n vertices.
If we label the vertices graph with number {1,...,n} , the bandwidth of labeling is
the maximum difference in the labels of adjacent vertices. The
bandwidth of the graph is the minmum bandwidth over all possible
labelings. The projective plane graphs are the incidence graphs
of projective planes viewed as a bipartite graph with a partite sets
Lines and Points with a line connected to a point if the point lies on
the line. Attempts to determine or bound the bandwidth are
difficult due to the great variety of projective planes |
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