Superbridge index of composite knots

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An upper bound of the superbridge index of the connected sum of two knots is given in terms of the braid index of the summands. Using this upper bound and minimal polygonal presentations, we give an upper bound in terms of the superbridge index and the bridge index of the summands when they are torus knots. In contrast to the fact that the difference between the sum of bridge indices of two knots and the bridge index of their connected sum is always one, the corresponding difference for the superbridge index can be arbitrarily large.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2000-08
Language
English
Article Type
Article
Keywords

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Citation

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.9, no.5, pp.669 - 682

ISSN
0218-2165
URI
http://hdl.handle.net/10203/75260
Appears in Collection
MA-Journal Papers(저널논문)
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