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Shalen, Peter B. Escobar, Francisco D. 2018-12-18T21:32:57Z 2018-12-18T21:32:57Z 1976 Escobar, Francisco D.. "Knot polynomials." (1976) Master’s Thesis, Rice University. https://hdl.handle.net/1911/104837. https://hdl.handle.net/1911/104837 RICE2483 THESIS MATH. 1976 ESCOBAR One of the most important invariants of the Knot type, is the one called Knot polynomials. The Knot polynomials are somehow easy to calculate, or at least they are easier to handle than other invariants of the Knot type, such as the presentation of the group of the Knot, or the elementary ideals. The Knot polynomials have important properties, that are very useful in the process of recognizing if a given polynomial can or cannot be a Knot polynomial. In this paper, we have proved that the central coefficient of the Knot polynomials cannot be zero, so the Knot polynomials always have an odd number of terms different from zero. We showed also that this central coefficient is an odd number. This coefficient is an invariant of the Knot type, and it is weaker than the Knot polynomial itself. 59 pp reformatted digital eng Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. Knot polynomials Thesis Text Mathematics Natural Sciences Rice University Masters Master of Arts open.access