منابع مشابه
Minimally Knotted Spatial Graphs are Totally Knotted
Applying Jaco’s Handle Addition Lemma, we give a condition for a 3-manifold to have an incompressible boundary. As an application, we show that the boundary of the exterior of a minimally knotted planar graph is incompressible.
متن کاملMore intrinsically knotted graphs
We demonstrate four intrinsically knotted graphs that do not contain each other, nor any previously known intrinsically knotted graph, as a minor.
متن کاملKnotted Symmetric Graphs
For a knotted graph in S* we define the vertex constant group, a quotient of the fundamental group of the complement. For planar graphs the group is cyclic. For graphs with periodic symmetry the group is related to the fundamental group of the branched cover of S3 branched over knots contained in the quotient of the graph under the symmetry. These tools are used to demonstrate that a large fami...
متن کاملKnotted Symmetric Graphs
For a knotted graph in S3 we define the vertex constant group, a quotient of the fundamental group of the complement. For planar graphs the group is cyclic. For graphs with periodic symmetry the group is related to the fundamental group of the branched cover of S3 branched over knots contained in the quotient of the graph under the symmetry. These tools are used to demonstrate that a large fami...
متن کاملKnotted Spheres and Graphs in Balls
Given a properly embedded graph Γ in a ball B and a punctured sphere Σ properly embedded in B − Γ we examine the conditions on Γ that are necessary to assure that Σ is boundary parallel.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1990
ISSN: 0166-8641
DOI: 10.1016/0166-8641(90)90061-6