Graphic presentations on the lens spaces minimal $DS$-diagrams
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 108-113
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$DS$-diagram is a three-valent graph on a two-sphere with an identification which glues vertices in fours, edges in threes, faces in twos. Any compact closed 3-manifold can be constructed from the 3-ball by factorizing its boundary according to an appropriate $DS$-diagram.
The $DS$-diagrams of lens spaces with minimal number of faces among all known $DS$-diagrams of these manifolds are considered in the work. A few methods of constructing these diagrams as plane graphs with straight edges are described. Advantages of each method are discussed.
@article{VCHGU_2008_10_a14,
author = {M. A. Ovchinnikov},
title = {Graphic presentations on the lens spaces minimal $DS$-diagrams},
journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
pages = {108--113},
publisher = {mathdoc},
number = {10},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a14/}
}
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%0 Journal Article %A M. A. Ovchinnikov %T Graphic presentations on the lens spaces minimal $DS$-diagrams %J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika %D 2008 %P 108-113 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a14/ %G ru %F VCHGU_2008_10_a14
M. A. Ovchinnikov. Graphic presentations on the lens spaces minimal $DS$-diagrams. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 108-113. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a14/