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Conference on Knot Theory and Its Applications to Physics and Quantum Computing; 60th birthday of Jozef H. Przytycki
January 6-9, 2015
University of Texas at Dallas
Richardson, TX, USA

Organizers
Mieczyslaw K. Dabkowski (UTD) Tobias Hagge (UTD) Valentina S. Harizanov (GWU) Viswanath Ramakrishna (UTD) Radmila Sazdanovic (NCSU) Adam S. Sikora (SUNYUB)

Conference Homepage


Site-specific Gordian distances of spatial graphs
by
Kouki Taniyama
Waseda University

For two spatial embeddings of an abstract graph we define site-specific Gordian distance between them. It is defined to be the minimal number of crossing changes between two specified abstract edges. We determine site-specific Gordian distances between some pairs of spatial embeddings of some abstract graphs. It has an application to puzzle ring problem. The site-specific Gordian distance between a Milnor link and a trivial link is determined. We use covering space arguments for the proofs.

Date received: December 3, 2014

Copyright © 2014 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 # cbjz-32.