Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Friday, May 03, 2019, 02:15 pm

Duration: 45 minutes

Location: CAB G 11

Speaker: Nathan Linial (The Hebrew University of Jerusalem)

On the large-scale metric of graphs

In this talk I will discuss the following question: “to what extent can a finite graph behave like the infinite d-regular tree”? We will see that this naive-sounding question holds many mysteries and fascinating challenges. Here is an example: Let girth(G) denote the smallest length of a cycle in the graph G. Question: Do there exist graphs G with no vertices of degree 1 or 2 for which girth(G)-diameter(G) is arbitrarily large? To the best of my knowledge the answer is till unknown.

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