Monotone graph property - PowerPoint PPT Presentation

Computational Geometry Seminar

Computational Geometry Seminar. Lecture 7 The “Crossing Lemma” and applications Ori Orenbach. What did we see till now ?. Every planar graph with |V|=n vertices has at most 3n-6 edges (Euler’s formula). So, a graph with more than 3n-6 edges must have at least one crossing. For Example K 5 :.

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Hunting for Sharp Thresholds

Hunting for Sharp Thresholds. Ehud Friedgut Hebrew University. Local properties. A graph property will be called local if it is the property of containing a subgraph from a given finite list of finite graphs. (e.g. “Containing a triangle or a cycle of length 17”.). approximable.

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283 views • 17 slides

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