Add to ORKGWe study the relations between some well-known graph-theoretical representations of closed 3-manifolds as P-graphs, RR-systems, Heegaard diagrams and crystallizations. As a consequence of the interplay between the theories, we prove some theorems which improve the geometric knowledge of the named representations. Finally, we show the strict connection of the results with the theory of 3-manifold spines
It is well-known that every 3-manifold $M^3$ may be represented by a framed link (L, c), which indic...
Within geometric (or PL) topology, a representation theory exists, which makes use of a particular c...
We introduce a representation of compact 3-manifolds without spherical boundary components via (regu...
We study the relations between some well-known graph-theoretical representations of closed 3-manifol...
We describe a procedure to construct a 4-coloured graph representing a closed, connected 3-manifold ...
We give a simple alternative proof of the representation theorem of all genus two 3-manifolds by a 6...
The main objective of this thesis is to study Heegaard diagrams and their applications. First, we i...
AbstractWe give a simple alternative proof of the representation theorem of all genus two 3-manifold...
This is a survey on Crystallization theory and on its relations with other well-known manifold repre...
The present paper is devoted to establish a connection between the 4-manifold representation method ...
We deal with three combinatorial representations of closed orientable 3-manifolds, i.e., Heegaard di...
AbstractFrom each G in a certain class of 4-regular edge-colored graphs we obtain a ball complex who...
It is well known that every Heegaard diagram canonically induces a (balanced) presentation of the fu...
We use the representation of PL manifolds via graphs with colored edges. Then we describe a very fas...
Abstract The twisted face-pairing construction of our earlier papers gives an ecient way of generati...
It is well-known that every 3-manifold $M^3$ may be represented by a framed link (L, c), which indic...
Within geometric (or PL) topology, a representation theory exists, which makes use of a particular c...
We introduce a representation of compact 3-manifolds without spherical boundary components via (regu...
We study the relations between some well-known graph-theoretical representations of closed 3-manifol...
We describe a procedure to construct a 4-coloured graph representing a closed, connected 3-manifold ...
We give a simple alternative proof of the representation theorem of all genus two 3-manifolds by a 6...
The main objective of this thesis is to study Heegaard diagrams and their applications. First, we i...
AbstractWe give a simple alternative proof of the representation theorem of all genus two 3-manifold...
This is a survey on Crystallization theory and on its relations with other well-known manifold repre...
The present paper is devoted to establish a connection between the 4-manifold representation method ...
We deal with three combinatorial representations of closed orientable 3-manifolds, i.e., Heegaard di...
AbstractFrom each G in a certain class of 4-regular edge-colored graphs we obtain a ball complex who...
It is well known that every Heegaard diagram canonically induces a (balanced) presentation of the fu...
We use the representation of PL manifolds via graphs with colored edges. Then we describe a very fas...
Abstract The twisted face-pairing construction of our earlier papers gives an ecient way of generati...
It is well-known that every 3-manifold $M^3$ may be represented by a framed link (L, c), which indic...
Within geometric (or PL) topology, a representation theory exists, which makes use of a particular c...
We introduce a representation of compact 3-manifolds without spherical boundary components via (regu...