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SUMMARY:Oswin Aichholzer (TU Graz)
DTSTART:20210610T141500Z
DTEND:20210610T160000Z
DTSTAMP:20260422T070100Z
UID:CJCS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/18/">Or
 der Types\, Rotation Systems\, and Crossing Numbers of $K_n$</a>\nby Oswin
  Aichholzer (TU Graz) as part of Copenhagen-Jerusalem Combinatorics Semina
 r\n\n\nAbstract\nIn the area of crossing  numbers we ask for minimizing th
 e number of edge intersections in a drawing of a graph.\nThere is a rich v
 ariety of crossing number problems: Which graphs do we consider\, what exa
 ctly is a drawing of a graph\, and how are intersections counted? \nIn thi
 s talk we will concentrate on the crossing number of complete graphs embed
 ded in the plane as either geometric\nor simple drawing. We will have a cl
 oser look at two useful combinatorial concepts for these representations: 
 order types for the\ngeometric case\, and rotation systes for the topologi
 cal case.\n
LOCATION:https://researchseminars.org/talk/CJCS/18/
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