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MINIMAL DEGREE SEQUENCE FOR TORUS KNOTS OF TYPE (p,2p-1)

PRABHAKAR MADETI

Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi —110 016, India

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and

RAMA MISHRA

Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi —110 016, India

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https://doi.org/10.1142/S021821650600497XCited by:3 (Source: Crossref)

Abstract

In this paper, we explore the issue of minimizing the degree sequence for torus knots. We find the minimal degree sequence for torus knots of type (p, 2p-1) for any integer p ≥2. We use some results from algebraic geometry to prove our main result.

Keywords:

AMSC: 57M25, 14P25

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