Topology Atlas | Conferences

Knots in Washington XLVIII
May 10-12, 2019
George Washington University
Washington, DC, United States

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU)

Conference Homepage


Some Problems in Topology
by
Paul C. Kainen
Georgetown University (Dept. of Math. and Stat.)

We discuss crossing numbers, book thickness, spatially embedded graphs, connected-sum cycle bases, and the Colin de Verdiere invariant.

It is shown that for a spatially embedded graph, if every member of a connected-sum cycle basis is flat, then the embedded graph is flat.

We conjecture that there exists a non-flat embedded graph with a flat (non-connected-sum) basis.

Date received: May 10, 2019

Copyright © 2019 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbpy-16.