AbstractEmbeddings of 4-regular graphs into 3-space are examined by studying graph diagrams, i.e., projections of embedded graphs to an appropriate plane. An invariant of graph diagrams, first introduced by Yokota, is re-formulated and used to show that reduced alternating diagrams have minimal crossing number. The results presented here extend some of the so-called Tait Conjectures
AbstractGiven a graph in 3-space, in general knotted, can one construct a surface containing the gra...
summary:Guy and Harary (1967) have shown that, for $k\ge 3$, the graph $P[2k,k]$ is homeomorphic to ...
summary:Guy and Harary (1967) have shown that, for $k\ge 3$, the graph $P[2k,k]$ is homeomorphic to ...
AbstractEmbeddings of 4-regular graphs into 3-space are examined by studying graph diagrams, i.e., p...
AbstractTait's flyping conjecture, stating that two reduced, alternating, prime link diagrams can be...
AbstractTait's flyping conjecture, stating that two reduced, alternating, prime link diagrams can be...
AbstractIn this paper we generalize the concept of alternating knots to alternating graphs and show ...
AbstractA (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclide...
A representation for compact 3-manifolds with non-empty nonspherical boundary via 4-colored graphs (...
A representation for compact 3-manifolds with non-empty nonspherical boundary via 4-colored graphs (...
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs ...
We call a simple graph G a 4-cycled graph if either it has no edges or every edge of it is contained...
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs ...
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs ...
We consider diagrams of links in S² obtained by projection from S³ with the Hopf map and the minimal...
AbstractGiven a graph in 3-space, in general knotted, can one construct a surface containing the gra...
summary:Guy and Harary (1967) have shown that, for $k\ge 3$, the graph $P[2k,k]$ is homeomorphic to ...
summary:Guy and Harary (1967) have shown that, for $k\ge 3$, the graph $P[2k,k]$ is homeomorphic to ...
AbstractEmbeddings of 4-regular graphs into 3-space are examined by studying graph diagrams, i.e., p...
AbstractTait's flyping conjecture, stating that two reduced, alternating, prime link diagrams can be...
AbstractTait's flyping conjecture, stating that two reduced, alternating, prime link diagrams can be...
AbstractIn this paper we generalize the concept of alternating knots to alternating graphs and show ...
AbstractA (tame) link can be defined as a finite collection of disjoint polygons embedded in Euclide...
A representation for compact 3-manifolds with non-empty nonspherical boundary via 4-colored graphs (...
A representation for compact 3-manifolds with non-empty nonspherical boundary via 4-colored graphs (...
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs ...
We call a simple graph G a 4-cycled graph if either it has no edges or every edge of it is contained...
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs ...
A representation for compact 3-manifolds with non-empty non-spherical boundary via 4-colored graphs ...
We consider diagrams of links in S² obtained by projection from S³ with the Hopf map and the minimal...
AbstractGiven a graph in 3-space, in general knotted, can one construct a surface containing the gra...
summary:Guy and Harary (1967) have shown that, for $k\ge 3$, the graph $P[2k,k]$ is homeomorphic to ...
summary:Guy and Harary (1967) have shown that, for $k\ge 3$, the graph $P[2k,k]$ is homeomorphic to ...