Open AccessAlexander Polynomials of Knots Which Are Transformed into the Trefoil Knot by a Single Crossing Change
Author(s) -
Yasutaka Nakanishi
Publication year - 2012
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 19
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2012.52.2.201
Subject(s) - mathematics , trefoil , knot (papermaking) , crossing number (knot theory) , trefoil knot , combinatorics , knot theory , biology , agronomy , chemical engineering , engineering
By the works of Kondo and Sakai, it is known that Alexander polynomi- als of knots which are transformed into the trivial knot by a single crossing change are characterized. In this note, we will characterize Alexander polynomials of knots which are transformed into the trefoil knot (and into the gure-eight knot) by a single crossing change.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom