| dc.creator | Lins, Sóstenes | |
| dc.creator | Silva, Valdenberg | |
| dc.date | 2003-10-01 | |
| dc.date.accessioned | 2019-05-03T12:36:52Z | |
| dc.date.available | 2019-05-03T12:36:52Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1680 | |
| dc.identifier.uri | http://revistaschilenas.uchile.cl/handle/2250/84405 | |
| dc.description | If a graph GM is embedded into a closed surface S such that S\GM is a collection of disjoint open discs, then M = 3D(GM, S) is called a map. A zigzag in a map M is a closed path which alternates choosing, at each star of a vertex, the leftmost and the rightmost possibilities for its next edge. If a map has a single zigzag we show that the cyclic ordering of the edges along it induces linear transformations, Cp and Cp∼ whose images and kernels are respectively the cycle and bond spaces (over GF(2)) of GM and GD, where D= 3D(GD, S) is the dual map of M. We prove that Im(cp o cp∼) is the intersection of the cycle spaces of GM and GD, and that the dimension of this subspace is connectivity of S. Finally, if M has also a single face, this face induces a linear transformation cD which is invertible: we show that C-1D = 3Dcp∼. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1680/1532 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 5 Núm. 3 (2003): CUBO, Matemática Educacional; 330-341 | es-ES |
| dc.source | CUBO, A Mathematical Journal; Vol 5 No 3 (2003): CUBO, Matemática Educacional; 330-341 | en-US |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.title | On Maps with a Single Zigzag | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
