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arxiv: 1404.0169 · v2 · pith:KEUWM3XMnew · submitted 2014-04-01 · 🧮 math.CO · cs.CG· cs.DM· math.MG

Triangle-free geometric intersection graphs with no large independent sets

classification 🧮 math.CO cs.CGcs.DMmath.MG
keywords graphsindependentintersectiontriangle-freearbitrarilygeometriclargeline
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It is proved that there are triangle-free intersection graphs of line segments in the plane with arbitrarily small ratio between the maximum size of an independent set and the total number of vertices.

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