Details of talk

TitleAnnulus and Pants Thrackle drawing
PresenterGrace Omollo Misereh (La Trobe University)
Author(s)Grace Omollo Misere and Yuri Nikolayevsky
SessionGeometry and Topology
Time15:00:00 2017-09-25
Abstract


A thrackle is a drawing of a graph in which each pair of edges meets
precisely once. Conway's Thrackle Conjecture asserts that a thrackle drawing of
a
graph on the plane cannot have more edges than vertices. We prove the
Conjecture
for thrackle drawings all of whose vertices lie on the boundaries of $d\leq 3$
connected
domains in the complement of the drawing. We also give a detailed description
of
 thrackle drawings corresponding to the cases when $d = 2$ (annular
thrackles) and $d = 3$ (pair of pants thrackles).

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