Add to ORKGAn analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper. Four graphs are established to be minor minimal intrinsically even linked, and it is conjectured that they form a complete minor minimal set. Some characterizations are given, using the simplest of the four graphs as an integral part of the arguments, that may be useful in proving the conjecture. The second half of this paper investigates a new approach to intrinsic knotting. By adapting knot energy to graphs, it is hoped that intrinsic knotting can be detected through direct computation. However, graph energies are difficult to compute, and it is unclear whether they can be used to determine whether a graph is intrinsically knotted
This paper focuses on the graphs in the Petersen family, the set of mi-nor minimal intrinsically lin...
Knot theory, as traditionally studied, asks whether or not a loop of string is knotted. That is, ca...
Knot theory, as traditionally studied, asks whether or not a loop of string is knotted. That is, ca...
An analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper....
available for noncommercial, educational purposes, provided that this copyright statement appears on...
In this paper, we shall lay the groundwork for a proof of the minor-minimal intrinsic knotting of th...
Our research focused on two questions in graph and knot theory. Our first question addressed the com...
In the field of topology, intrinsically knotted graphs are rare graphs in which all embeddings conta...
We prove that a graph is intrinsically linked in an arbitrary 3–manifold M if and only if it is intr...
In the field of topology, a graph is a set of vertices with certain vertices connected to each other...
Abstract. We list more than 200 new examples of minor minimal intrinsically knotted graphs and descr...
We prove that a graph is intrinsically linked in an arbitrary 3–manifold MM if and only if it is int...
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
We demonstrate four intrinsically knotted graphs that do not con-tain each other, nor any previously...
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
This paper focuses on the graphs in the Petersen family, the set of mi-nor minimal intrinsically lin...
Knot theory, as traditionally studied, asks whether or not a loop of string is knotted. That is, ca...
Knot theory, as traditionally studied, asks whether or not a loop of string is knotted. That is, ca...
An analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper....
available for noncommercial, educational purposes, provided that this copyright statement appears on...
In this paper, we shall lay the groundwork for a proof of the minor-minimal intrinsic knotting of th...
Our research focused on two questions in graph and knot theory. Our first question addressed the com...
In the field of topology, intrinsically knotted graphs are rare graphs in which all embeddings conta...
We prove that a graph is intrinsically linked in an arbitrary 3–manifold M if and only if it is intr...
In the field of topology, a graph is a set of vertices with certain vertices connected to each other...
Abstract. We list more than 200 new examples of minor minimal intrinsically knotted graphs and descr...
We prove that a graph is intrinsically linked in an arbitrary 3–manifold MM if and only if it is int...
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
We demonstrate four intrinsically knotted graphs that do not con-tain each other, nor any previously...
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
This paper focuses on the graphs in the Petersen family, the set of mi-nor minimal intrinsically lin...
Knot theory, as traditionally studied, asks whether or not a loop of string is knotted. That is, ca...
Knot theory, as traditionally studied, asks whether or not a loop of string is knotted. That is, ca...