Geodesic
Complexity of 3-dimensional manifolds: exact values and estimates
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 341-364

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is a survey of recent results on the complexity theory of 3-manifolds obtained by the authors and their colleagues. We describe existing tables of closed 3-manifolds and several infinite series of 3-manifolds with known complexities. We also give potentially exact estimates of complexity of Seifert and graph manifolds as well as for large families of hyperbolic manifolds.
Keywords: Matveev's complexity, 3-manifolds. 
@article{SEMR_2011_8_a28,
     author = {A. Yu. Vesnin and S. V. Matveev and E. A. Fominykh},
     title = {Complexity of 3-dimensional manifolds: exact values and estimates},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {341--364},
     publisher = {mathdoc},
     volume = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2011_8_a28/}
}
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A. Yu. Vesnin; S. V. Matveev; E. A. Fominykh. Complexity of 3-dimensional manifolds: exact values and estimates. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 341-364. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a28/