|
Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 215–228
(Mi semr102)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Research papers
Upper complexity bounds for an infinite family of graph-manifolds
E. A. Fominykhab a Chelyabinsk State University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
We provide a new formula for an upper bound of complexity of closed connected graph-manifolds obtained by gluing together two Seifert manifolds fibered over the disc with two exceptional fibers and a Seifert manifolds fibered over the annulus with one exceptional fiber. This bound turns out to be sharp for all such manifolds up to complexity 12.
Keywords:
Matveev's complexity, graph-manifolds.
Received February 7, 2008, published May 15, 2008
Citation:
E. A. Fominykh, “Upper complexity bounds for an infinite family of graph-manifolds”, Sib. Èlektron. Mat. Izv., 5 (2008), 215–228
Linking options:
https://www.mathnet.ru/eng/semr102 https://www.mathnet.ru/eng/semr/v5/p215
|
Statistics & downloads: |
Abstract page: | 218 | Full-text PDF : | 54 | References: | 41 |
|