Estimating Matveev's complexity via crystallization theory
From MaRDI portal
Publication:868331
DOI10.1016/j.disc.2006.07.021zbMath1131.57023OpenAlexW2039802324MaRDI QIDQ868331
Publication date: 2 March 2007
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2006.07.021
Relations of low-dimensional topology with graph theory (57M15) Low-dimensional topology of special (e.g., branched) coverings (57M12)
Related Items
Complexity computation for compact 3-manifolds via crystallizations and Heegaard diagrams, Computing Matveev's complexity via crystallization theory: the orientable case, COMPUTING MATVEEV'S COMPLEXITY VIA CRYSTALLIZATION THEORY: THE BOUNDARY CASE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Complexity theory of three-dimensional manifolds
- A representation of orientable combinatorial 3-manifolds
- A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
- Regular imbeddings of edge-coloured graphs
- Classification of nonorientable 3-manifolds admitting decompositions into \(\leqq 26\) coloured tetrahedra
- Coloured knots and coloured graphs representing 3-fold simple coverings of \(\mathbb{S}^ 3\)
- Construction and properties of the \(t\)-invariant
- Non-orientable 3-manifolds of small complexity
- Computer classification of 3-manifolds.
- Representing branched coverings by edge-coloured graphs
- The complexity of 2-fold branched coverings of a 3-sphere
- Computing Matveev's complexity of non-orientable 3-manifolds via crystallization theory
- Enumeration of non-orientable 3-manifolds using face-pairing graphs and union-find
- Computing Matveev's complexity via crystallization theory: the orientable case
- An algorithm producing a standard spine of a 3-manifold presented by surgery along a link
- STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS
- A CATALOGUE OF ORIENTABLE 3-MANIFOLDS TRIANGULATED BY 30 COLORED TETRAHEDRA
- Modifications and Cobounding Manifolds
- Extending the Concept of Genus to Dimension N
- Every closed orientable 3-manifold is a 3-fold branched covering space of $S^3$
- THREE-MANIFOLDS AS 3-FOLD BRANCHED COVERS OF S3
- Crystallisations of 2-Fold Branched Coverings of S 3
- FROM FRAMED LINKS TO CRYSTALLIZATIONS OF BOUNDED 4-MANIFOLDS
- Three-Manifolds Having Complexity At Most 9