Add to ORKGKnot theory is a branch of topology that deals with the structure and properties of links. Employing a variety of tools, including surfaces, graph theory, and polynomials, we develop and explore classical link invariants. From this foundation, we de fine two novel link invariants, braid height and machete number, and investigate their properties and connection to classical invariants
AbstractBourgoin defined the notion of a twisted link which corresponds to a stable equivalence clas...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
This thesis presents an investigation of many known polynomial invariants of knots and links. Follow...
This thesis introduces a new quantity called loop number, and shows the conditions in which loop num...
Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. ...
This thesis reviews the history of knot theory with an emphasis on the diagrammatic approach to stud...
We investigate characteristics of two classes of links in knot theory: torus links and Klein links. ...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...
The objects of study in this thesis are knots. More precisely, positive braid knots, which include a...
AbstractMorton and Franks–Williams independently gave a lower bound for the braid index b(L) of a li...
The use and detection of symmetry is ubiquitous throughout modern mathematics. In the realm of low-...
Motivated by the action of XER site-specific recombinase on DNA, this thesis will study the topologi...
This thesis gives some applications of the theory of folding of A-graphs. In the first application, ...
In the past 50 years, knot theory has become an extremely well-developed subject. But there remain s...
AbstractBourgoin defined the notion of a twisted link which corresponds to a stable equivalence clas...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
This thesis presents an investigation of many known polynomial invariants of knots and links. Follow...
This thesis introduces a new quantity called loop number, and shows the conditions in which loop num...
Mechanisation of Mathematics refers to use of computers to generate or check proofs in Mathematics. ...
This thesis reviews the history of knot theory with an emphasis on the diagrammatic approach to stud...
We investigate characteristics of two classes of links in knot theory: torus links and Klein links. ...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...
A “butterfly diagram” is a representation of a knot as a kind of graph on the sphere. This generaliz...
The objects of study in this thesis are knots. More precisely, positive braid knots, which include a...
AbstractMorton and Franks–Williams independently gave a lower bound for the braid index b(L) of a li...
The use and detection of symmetry is ubiquitous throughout modern mathematics. In the realm of low-...
Motivated by the action of XER site-specific recombinase on DNA, this thesis will study the topologi...
This thesis gives some applications of the theory of folding of A-graphs. In the first application, ...
In the past 50 years, knot theory has become an extremely well-developed subject. But there remain s...
AbstractBourgoin defined the notion of a twisted link which corresponds to a stable equivalence clas...
Every two-bridge knot or link is characterized by a rational number p/q, and has a fundamental group...
This thesis presents an investigation of many known polynomial invariants of knots and links. Follow...