Region crossing change on spatial-graph diagrams

Kenta Hayano, Ayaka Shimizu, Reiko Shinjo · Journal of Knot Theory and Its Ramifications · 2015

Region crossing change at a region of a knot, link or spatial-graph diagram is a local transformation which changes all the crossings on the boundary of the region. In this paper, we show that we can make any crossing change by a finite number of region crossing changes on any diagram of a connected spatial graph which has no cutting circles.

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