Open AccessLower Bounds on Boundary Slope Diameters for Montesinos Knots
Author(s) -
Kazuhiro Ichihara,
Shigeru Mizushima
Publication year - 2009
Publication title -
kyungpook mathematical journal
Language(s) - English
Resource type - Journals
eISSN - 1225-6951
pISSN - 0454-8124
DOI - 10.5666/kmj.2009.49.2.321
Subject(s) - mathematics , knot (papermaking) , boundary (topology) , euler characteristic , euler's formula , geometry , combinatorics , mathematical analysis , composite material , materials science
In this paper, we give two lower bounds on the diameter of the boundary slope set of a Montesinos knot. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.
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