Add to ORKGWe prove that a graph is intrinsically linked in an arbitrary 3–manifold MM if and only if it is intrinsically linked in S3. Also, assuming the Poincaré Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically knotted in S3
This paper focuses on the graphs in the Petersen family, the set of mi-nor minimal intrinsically lin...
Abstract. We show that deleting an edge of a 3-cycle in an in-trinsically knotted graph gives an int...
available for noncommercial, educational purposes, provided that this copyright statement appears on...
We prove that a graph is intrinsically linked in an arbitrary 3–manifold M if and only if it is intr...
AbstractWe prove that every embedding of K10 in R3 contains a non-split link of three components. We...
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
An analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper....
Our research focused on two questions in graph and knot theory. Our first question addressed the com...
We show that, given any n and α, every embedding of any sufficiently large complete graph in R3 cont...
An analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper....
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
A graph is intrinsically knotted (IK) if for every embedding of the graph there exists a knotted cyc...
Conway and Gordon [1] proved that every embedding of K6 into R3 contains a link and every embedding ...
In the field of topology, intrinsically knotted graphs are rare graphs in which all embeddings conta...
AbstractGiven a θ-curve in S3, an associated link can be defined as a knot type invariant of the θ-C...
This paper focuses on the graphs in the Petersen family, the set of mi-nor minimal intrinsically lin...
Abstract. We show that deleting an edge of a 3-cycle in an in-trinsically knotted graph gives an int...
available for noncommercial, educational purposes, provided that this copyright statement appears on...
We prove that a graph is intrinsically linked in an arbitrary 3–manifold M if and only if it is intr...
AbstractWe prove that every embedding of K10 in R3 contains a non-split link of three components. We...
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
An analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper....
Our research focused on two questions in graph and knot theory. Our first question addressed the com...
We show that, given any n and α, every embedding of any sufficiently large complete graph in R3 cont...
An analog to intrinsic linking, intrinsic even linking, is explored in the first half of this paper....
We show that for every m∈N, there exists an n∈N such that every embedding of the complete graph Kn i...
A graph is intrinsically knotted (IK) if for every embedding of the graph there exists a knotted cyc...
Conway and Gordon [1] proved that every embedding of K6 into R3 contains a link and every embedding ...
In the field of topology, intrinsically knotted graphs are rare graphs in which all embeddings conta...
AbstractGiven a θ-curve in S3, an associated link can be defined as a knot type invariant of the θ-C...
This paper focuses on the graphs in the Petersen family, the set of mi-nor minimal intrinsically lin...
Abstract. We show that deleting an edge of a 3-cycle in an in-trinsically knotted graph gives an int...
available for noncommercial, educational purposes, provided that this copyright statement appears on...