Year: 2013
Author: Youfa Han, shengjun Pan, Shuxin Wang
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 143–147
Abstract
In this paper, by the twist-crossing number of knots, we give an upper bound on the Euler characteristic of a kind of essential surfaces in the complements of alternating knots and almost alternating knots, which improves the estimation of the Euler characteristic of the essential surfaces with boundaries under certain conditions. Furthermore, we give the genus of the essential surfaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-CMR-19017
Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 143–147
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 5
Keywords: essential surface twist-crossing number almost alternating knot reduced graph.