923 resultados para Maximal Degree Vertex


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{Michiganensian caption: "Ex-Ohioan Tony Mason outdoes shirtsleeved Woody Hayes in the 19-degree Columbus Weather."]

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Thesis (doctoral)--Georg-August-Universitat zu Gottingen, 1905.

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Thesis (doctoral)--Grossherzoglich Hessische Ludwigs-Universitat zu Giessen, 1906.

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In a previous paper R. Mathon gave a new construction method for maximal arcs in finite Desarguesian projective planes via closed sets of conics, as well as giving many new examples of maximal arcs. In the current paper, new classes of maximal arcs are constructed, and it is shown that every maximal arc so constructed gives rise to an infinite class of maximal arcs. Apart from when they are of Denniston type or dual hyperovals, closed sets of conics are shown to give maximal arcs that are not isomorphic to the known constructions. An easy characterisation of when a closed set of conics is of Denniston type is given. Results on the geometric structure of the maximal arcs and their duals are proved, as well as on elements of their collineation stabilisers.