Facebook Instagram Twitter RSS Feed PodBean Back to top on side

A generating theorem of punctured surface triangulations with inner degree at least $4$

In: Mathematica Slovaca, vol. 69, no. 5
María-José Chávez - Seiya Negami - Antonio Quintero - María Trinidad Villar-Liñán
Detaily:
Rok, strany: 2019, 969 - 978
Kľúčové slová:
punctured surface, irreducible triangulation, edge contraction, vertex splitting, removal/addition of octahedra, generating theorem
O článku:
Given any punctured surface $F2$, we present a method for generating all of $F2$ triangulations with inner vertices of degree $≥ 4$ and boundary vertices of degree $≥ 3$. The method is based on a set of expansive operations which includes the well-known vertex splitting and octahedron addition. By reversing this method we get a procedure to obtain minimal triangulations by a sequence of intermediate triangulations, all of them within the given family.
Ako citovať:
ISO 690:
Chávez, M., Negami, S., Quintero, A., Villar-Liñán, M. 2019. A generating theorem of punctured surface triangulations with inner degree at least $4$. In Mathematica Slovaca, vol. 69, no.5, pp. 969-978. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0281

APA:
Chávez, M., Negami, S., Quintero, A., Villar-Liñán, M. (2019). A generating theorem of punctured surface triangulations with inner degree at least $4$. Mathematica Slovaca, 69(5), 969-978. 0139-9918. DOI: https://doi.org/ 10.1515/ms-2017-0281
O vydaní:
Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Publikované: 5. 10. 2019