Affiliation:
1. Department of Mathematics Education, Dongguk University-Gyeongju, 123 Dongdae-ro, Gyeongju 38066, Korea
Abstract
Let [Formula: see text] be a Montesinos link [Formula: see text] with positive rational numbers [Formula: see text] and [Formula: see text], each less than 1, and [Formula: see text] the minimal crossing number of [Formula: see text]. Herein, we construct arc presentations of [Formula: see text] with [Formula: see text], [Formula: see text] and [Formula: see text] arcs under some conditions for [Formula: see text], [Formula: see text] and [Formula: see text]. Furthermore, we determine the arc index of infinitely many Montesinos links.
Funder
National Research Foundation of Korea
Dongguk University
Publisher
World Scientific Pub Co Pte Ltd
Subject
Algebra and Number Theory