منابع مشابه
Canonical genus and the Whitehead doubles of pretzel knots
We prove, for an alternating pretzel knot K, that the canonical genus of its Whitehead doubles W (K) is equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.
متن کاملCanonical Genus and the Whitehead Doubles of Certain Alternating Knots
We prove, for an alternating pretzel knot K, that the canonical genus of its Whitehead doubles W (K) is equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.
متن کاملCovering Link Calculus and Iterated Bing Doubles
We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n > 1 the (n + 1)st iterated Bing double of a knot is rationally slice if and only if the nth iterated Bing double of the knot is rationally slice. The main technique of the proof is a covering link construction simplifying a given link. We prove certain similar geometric obstructions for n ≤ 1 as ...
متن کاملProof of the volume conjecture for Whitehead doubles of tours knots
A technique to calculate the colored Jones polynomial of satellite knots, illustrated by the Whitehead doubles of knots, is presented. Then we prove the volume conjecture for Whitehead doubles of torus knots and show some interesting observations.
متن کاملIndependence number of iterated line digraphs
In this paper, we deal with the independence number of iterated line digraphs of a regular digraph G. We give pertinent lower bounds and give an asymptotic estimation of the ratio of the number of vertices of a largest independent set of the nth iterated line digraph of G. © 2005 Elsevier B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2018
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/14261