AbstractLet c1,…, c7 denote the seven cycles in the complete graph, K4, on four vertices. For a tame embedding of K4 in Euclidean 3-space, let the ordered 7-tuple (k1,…, k7) denote the associated list of knot types of (c1,…, c7). The purpose of this paper is to show that any ordered 7-tuple of knot types can be realized as the associated list of knot types of (c1,…, c7) with a tame embedding of K4 in Euclidean 3-space
We establish a necessary and sufficient condition for a heptagonal knot to be figure-8 knot. The con...
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...
A book representation of a graph is a particular way of embedding a graph in three dimensional space...
AbstractLet c1,…, c7 denote the seven cycles in the complete graph, K4, on four vertices. For a tame...
AbstractA spatial embedding of a graph G is an embedding of G into the 3-dimensional Euclidean space...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
In 1983 Conway and Gordon proved that any embedding of the complete graph K-7 into R-3 contains at l...
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 ...
An embedding f of a finite graph G into the 3-sphere S3 is called a spatial em-bedding of G or simpl...
publisher学位の種類：理学 学位授与年月日：平成21年3月21日 主査：田澤, 新成 教授 報告番号：甲第916号 学内授与番号：理第57号 NDL書誌ID：00001062641
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
AbstractFor a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint ...
It is known that every closed orientable 3-manifold can be represented by coloured knots, edge-colou...
It is shown that for any locally knotted edge of a 3-connected graph in S 3, there is a ball that co...
We establish a necessary and sufficient condition for a heptagonal knot to be figure-8 knot. The con...
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...
A book representation of a graph is a particular way of embedding a graph in three dimensional space...
AbstractLet c1,…, c7 denote the seven cycles in the complete graph, K4, on four vertices. For a tame...
AbstractA spatial embedding of a graph G is an embedding of G into the 3-dimensional Euclidean space...
A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J...
In 1983 Conway and Gordon proved that any embedding of the complete graph K-7 into R-3 contains at l...
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 ...
An embedding f of a finite graph G into the 3-sphere S3 is called a spatial em-bedding of G or simpl...
publisher学位の種類：理学 学位授与年月日：平成21年3月21日 主査：田澤, 新成 教授 報告番号：甲第916号 学内授与番号：理第57号 NDL書誌ID：00001062641
Let G be a finite graph. We give a label to each of vertices and edges of G. An embedding of G into ...
AbstractFor a graph G, let Γ be either the set Γ1 of cycles of G or the set Γ2 of pairs of disjoint ...
It is known that every closed orientable 3-manifold can be represented by coloured knots, edge-colou...
It is shown that for any locally knotted edge of a 3-connected graph in S 3, there is a ball that co...
We establish a necessary and sufficient condition for a heptagonal knot to be figure-8 knot. The con...
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...
A book representation of a graph is a particular way of embedding a graph in three dimensional space...
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