An embedding f of a finite graph G into the 3-sphere S3 is called a spatial em-bedding of G or simply a spatial graph. We call the image of f restricted on a cycle (resp. mutually disjoint cycles) in G a constituent knot (resp. constituent link) of f, where a cycle is a graph homeomorphic to a circle. A spatial embedding of a plana
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractWe give a spatial representation of the complete graphKnwhich contains exactly[formula]Hopf ...
For a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint cycles o...
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
We show that the Vassiliev invariants of the knots contained in an embedding of a graph G into R3 sa...
Let G be a finite graph which does not have free vertices. We consider G as a topological space in t...
AbstractA spatial representation, R(G), of a graph G, is an embedded image of G in R3. A set of cycl...
AbstractIn this paper we give a homology classification of spatial embeddings of a graph by an invar...
AbstractA spatial embedding of a graph G is an embedding of G into the 3-dimensional Euclidean space...
We show that the Vassiliev invariants of the knots contained in an embedding of a graph G into R³ sa...
We use combinatorial knot theory to construct invariants for spatial graphs. This is done by perform...
AbstractFor a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint ...
AbstractLink-homotopy has been an active area of research for knot theorists since its introduction ...
AbstractWe show that two embeddings f and g of a finite graph G into the 3-space are spatial-graph-h...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractWe give a spatial representation of the complete graphKnwhich contains exactly[formula]Hopf ...
For a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint cycles o...
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
We show that the Vassiliev invariants of the knots contained in an embedding of a graph G into R3 sa...
Let G be a finite graph which does not have free vertices. We consider G as a topological space in t...
AbstractA spatial representation, R(G), of a graph G, is an embedded image of G in R3. A set of cycl...
AbstractIn this paper we give a homology classification of spatial embeddings of a graph by an invar...
AbstractA spatial embedding of a graph G is an embedding of G into the 3-dimensional Euclidean space...
We show that the Vassiliev invariants of the knots contained in an embedding of a graph G into R³ sa...
We use combinatorial knot theory to construct invariants for spatial graphs. This is done by perform...
AbstractFor a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint ...
AbstractLink-homotopy has been an active area of research for knot theorists since its introduction ...
AbstractWe show that two embeddings f and g of a finite graph G into the 3-space are spatial-graph-h...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
AbstractWe give a spatial representation of the complete graphKnwhich contains exactly[formula]Hopf ...
For a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint cycles o...