We establish a necessary and sufficient condition for a heptagonal knot to be figure-8 knot. The condition is described by a set of Radon partitions formed by vertices of the heptagon. In addition we relate this result to the number of nontrivial heptagonal knots in linear embeddings of the complete graph K(7) into R(3)
A (5,3) torus knot whose cross section is the k=3 hypocycloid; approximately 9 in diameter and 3 t...
AbstractWe give a spatial representation of the complete graphKnwhich contains exactly[formula]Hopf ...
AbstractLet K be a knot in the 3-sphere S3 and D a disk in S3 meeting K transversely more than once ...
Abstract. We establish a necessary and sufficient condition for a hep-tagonal knot to be gure-8 knot...
In 1983 Conway and Gordon proved that any embedding of the complete graph K-7 into R-3 contains at l...
AbstractThe topology of the space of rooted oriented hexagonal knots embedded in R3 is described, wi...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractA spatial embedding of a graph G is an embedding of G into the 3-dimensional Euclidean space...
AbstractWe describe the explicit form and the hidden structure of the answer for the HOMFLY polynomi...
Conway and Gordon [1] proved that every embedding of K6 into R3 contains a link and every embedding ...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractLet c1,…, c7 denote the seven cycles in the complete graph, K4, on four vertices. For a tame...
International audienceAbstract. We obtain a branched spherical CR structure on the com- plement of t...
We design a fast algorithm for computing the fundamental group of the complement to any knotted poly...
We show that every heptagon is a section of a 3-polytope with 6 vertices. This implies that every n-...
A (5,3) torus knot whose cross section is the k=3 hypocycloid; approximately 9 in diameter and 3 t...
AbstractWe give a spatial representation of the complete graphKnwhich contains exactly[formula]Hopf ...
AbstractLet K be a knot in the 3-sphere S3 and D a disk in S3 meeting K transversely more than once ...
Abstract. We establish a necessary and sufficient condition for a hep-tagonal knot to be gure-8 knot...
In 1983 Conway and Gordon proved that any embedding of the complete graph K-7 into R-3 contains at l...
AbstractThe topology of the space of rooted oriented hexagonal knots embedded in R3 is described, wi...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractA spatial embedding of a graph G is an embedding of G into the 3-dimensional Euclidean space...
AbstractWe describe the explicit form and the hidden structure of the answer for the HOMFLY polynomi...
Conway and Gordon [1] proved that every embedding of K6 into R3 contains a link and every embedding ...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractLet c1,…, c7 denote the seven cycles in the complete graph, K4, on four vertices. For a tame...
International audienceAbstract. We obtain a branched spherical CR structure on the com- plement of t...
We design a fast algorithm for computing the fundamental group of the complement to any knotted poly...
We show that every heptagon is a section of a 3-polytope with 6 vertices. This implies that every n-...
A (5,3) torus knot whose cross section is the k=3 hypocycloid; approximately 9 in diameter and 3 t...
AbstractWe give a spatial representation of the complete graphKnwhich contains exactly[formula]Hopf ...
AbstractLet K be a knot in the 3-sphere S3 and D a disk in S3 meeting K transversely more than once ...
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