The maximal sizes of faces and vertices in an arrangement |
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Authors: | George Purdy Thomas Strommer |
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Institution: | Department of Mathematics, Texas A & M University, College Station, TX 77843, USA;Department of Mathematics, Oxford College of Emory University, Oxford, GA 30267, USA |
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Abstract: | Let A be an arragement of n lines in the plane. Suppose that F1,…,Fr are faces of A and that V,…,Vs are vertices of A. Suppose also that each Fi is a (Vj) of the lines of A intersect at Vj. Then we show that . |
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