Search results for "Line at infinity"

showing 3 items of 3 documents

Embedding finite linear spaces in projective planes, II

1987

Abstract It is shown that a finite linear space with maximal point degree n + 1 can be embedded in a projective plane of order n, provided that the line sizes are big enough.

Discrete mathematicsLine at infinityFano planeTheoretical Computer ScienceCombinatoricsReal projective lineReal projective planeDuality (projective geometry)Finite geometryProjective spaceDiscrete Mathematics and CombinatoricsProjective planeComputer Science::DatabasesMathematicsDiscrete Mathematics
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Graphs of stable maps from closed surfaces to the projective plane

2018

Abstract We describe how to attach a weighted graph to each stable map from closed surfaces to projective plane and prove that any weighted graph with non negatively weighted vertices is the graph of some stable map from a closed surface to the projective plane.

Discrete mathematicsPlane curve010102 general mathematicsLine at infinity01 natural sciencesPlanar graph010101 applied mathematicsCombinatoricssymbols.namesakeBlocking setReal projective planesymbolsProjective spaceGeometry and TopologyProjective plane0101 mathematicsPencil (mathematics)MathematicsTopology and its Applications
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Embedding linear spaces with two line degrees in finite projective planes

1986

In this paper we shall classify all finite linear spaces with line degrees n and n-k having at most n2+n+1 lines. As a consequence of this classification it follows: If n is large compared with k, then any such linear space can be embedded in a projective plane of order n−1 or n.

Discrete mathematicsPure mathematicsReal projective lineReal projective planeDuality (projective geometry)Finite geometryProjective spaceLine at infinityGeometry and TopologyFano planeProjective planeMathematicsJournal of Geometry
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