INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 7, Issue 4 (2) , April 2018 (Special Issue FBSA)

Pages: 01-05
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On Graphs of Alternating Knots

Author: Samiran Banerjee?

Category: Engineering, Science and Mathematics

Abstract:

A knot diagram is a picture of a projection of a knot onto a plane. Usually, only double points are allowed (no more than two points are allowed to be superposed), and the double or crossing points must be "genuine crossings" which transverse in the plane. The aim of this paper is to investigate some graphical properties of alternating knots(links) with the help of generalized form of Reidemeister moves and flype moves. It has been shown the equivalency of the associate graphs diagrammatically

Keywords: associate graphs; d-signed graphs; Reidemeister moves;