We investigate characteristics of two classes of links in knot theory: torus links and Klein links. Formulas are developed and confirmed to determine the total linking numbers of links in these classes. We find these relations by examining the general braid representations of torus links and Klein links
A long-standing problem in knot theory concerns the additivity of crossing numbers of links under th...
Knot theory is a branch of topology that deals with the structure and properties of links. Employing...
Graphs are often used as a research tool in knot theory. This is because there is a one-to-one corre...
Klein links are a nonorientable counterpart to torus knots and links. It is shown that braids repres...
We introduce the construction of Klein links through an alteration to the orientation on the rectang...
The (m,n)-Klein links are formed by altering the rectangular representation of an (m,n)-torus link. ...
We will examine the relationship between Klein links and Torus links, using both diagrammatic techni...
Torus-covering links and their triple linking numbers Inasa Nakamura (RIMS, Kyoto University) This r...
We have been trying to classify all Klein links by linking number and number of components. We use ...
Tied links in S^3 were introduced by Aicardi and Juyumaya as standard links in S^3 equipped with som...
Tied links in S^3 were introduced by Aicardi and Juyumaya as standard links in S^3 equipped with som...
Tied links in S^3 were introduced by Aicardi and Juyumaya as standard links in S^3 equipped with som...
This thesis introduces a new quantity called loop number, and shows the conditions in which loop num...
AbstractThe triple linking number of an oriented surface link was defined as an analogical notion of...
We introduce a framework to analyze knots and links in an unmarked solid torus. We discuss invariant...
A long-standing problem in knot theory concerns the additivity of crossing numbers of links under th...
Knot theory is a branch of topology that deals with the structure and properties of links. Employing...
Graphs are often used as a research tool in knot theory. This is because there is a one-to-one corre...
Klein links are a nonorientable counterpart to torus knots and links. It is shown that braids repres...
We introduce the construction of Klein links through an alteration to the orientation on the rectang...
The (m,n)-Klein links are formed by altering the rectangular representation of an (m,n)-torus link. ...
We will examine the relationship between Klein links and Torus links, using both diagrammatic techni...
Torus-covering links and their triple linking numbers Inasa Nakamura (RIMS, Kyoto University) This r...
We have been trying to classify all Klein links by linking number and number of components. We use ...
Tied links in S^3 were introduced by Aicardi and Juyumaya as standard links in S^3 equipped with som...
Tied links in S^3 were introduced by Aicardi and Juyumaya as standard links in S^3 equipped with som...
Tied links in S^3 were introduced by Aicardi and Juyumaya as standard links in S^3 equipped with som...
This thesis introduces a new quantity called loop number, and shows the conditions in which loop num...
AbstractThe triple linking number of an oriented surface link was defined as an analogical notion of...
We introduce a framework to analyze knots and links in an unmarked solid torus. We discuss invariant...
A long-standing problem in knot theory concerns the additivity of crossing numbers of links under th...
Knot theory is a branch of topology that deals with the structure and properties of links. Employing...
Graphs are often used as a research tool in knot theory. This is because there is a one-to-one corre...