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Articles 1 - 7 of 7
Full-Text Articles in Physical Sciences and Mathematics
Hyperbolicity Equations For Knot Complements, Christopher Martin Jacinto
Hyperbolicity Equations For Knot Complements, Christopher Martin Jacinto
Theses Digitization Project
This study analyzes Carlo Petronio's paper, An Algorithm Producing Hyperbolicity Equations for a Link Complement in S³. Using the figure eight knot as an example, we will explain how Petronio's algorithm was able to decompose the knot complement of an alternating knot into tetrahedra. Then, using the vertex invariants of these tetrahedra, we will explain how Petronio was able to create hyperbolicity equations.
Tutte Polynomial In Knot Theory, David Alan Petersen
Tutte Polynomial In Knot Theory, David Alan Petersen
Theses Digitization Project
This thesis reviews the history of knot theory with an emphasis on the diagrammatic approach to studying knots. Also covered are the basic concepts and notions of graph theory and how these two fields are related with an example of a knot diagram and how to associate it to a graph.
An Upperbound On The Ropelength Of Arborescent Links, Larry Andrew Mullins
An Upperbound On The Ropelength Of Arborescent Links, Larry Andrew Mullins
Theses Digitization Project
This thesis covers improvements on the upperbounds for ropelength of a specific class of algebraic knots.
Aspects Of The Jones Polynomial, Alvin Mendoza Sacdalan
Aspects Of The Jones Polynomial, Alvin Mendoza Sacdalan
Theses Digitization Project
A knot invariant called the Jones polynomial will be defined in two ways, as the Kauffman Bracket polynomial and the Tutte polynomial. Three properties of the Jones polynomial are discussed. We also see how mutant knots share the same Jones polynomial.
Knot Theory And Wild Knots, Cherie Annette Reardon
Knot Theory And Wild Knots, Cherie Annette Reardon
Theses Digitization Project
No abstract provided.
Using Symbolic Dynamical Systems: A Search For Knot Invariants, Russell Clark Wheeler
Using Symbolic Dynamical Systems: A Search For Knot Invariants, Russell Clark Wheeler
Theses Digitization Project
No abstract provided.
Describing And Distinguishing Knots, Lisa A. Padgett
Describing And Distinguishing Knots, Lisa A. Padgett
Theses Digitization Project
No abstract provided.