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Mostrando ítems 1-7 de 7
Artículo
On the topology of locally 2-connected Peano continua
(Rocky Mountain Mathematics Consortium, 2012)
Several recent results by Thomassen ([23 The locally connected compatc metric spaces embeddable in the plane, Combinatorica 24 (2004), 699-718, 24] Classification of locally 2-connected compact metric spaces, Combinatorica ...
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Artículo
Irreducible triangulations of the Möbius band
(Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova, 2014)
A complete list of irreducible triangulations is identified on the Möbius band.
Artículo
On the connectivity of skeletons of pseudomanifolds with boundary
(Mathematical Institute, Academy of Sciences of the Czech Republic, 2002)
In this note we show that 1-skeletons and 2-skeletons of n-pseudomanifolds with full boundary are (n+ 1)-connected graphs and n-connected 2-complexes, respectively. This generalizes previous results due to Barnette and Woon.
Artículo
Generating families of surface triangulations. The case of punctured surfaces with inner degree at least 4
(2015)
We present two versions of a method for generating all triangulations of any punctured surface in each of these two families: (1) triangulations with inner vertices of degree ≥ 4 and boundary vertices of degree ≥ 3 and (2) ...
Artículo
On the planarity of Peano generalized continua: An extension of a theorem of S. Claytor
(Institute of Mathematics, Polish Academy of Sciences, 1998)
We extend a theorem of S. Claytor in order to characterize the Peano generalized continua which are embeddable into the 2-sphere. We also give a characterization of the Peano generalized continua which admit closed embeddings ...
Capítulo de Libro
On irreductible triangulations of Punctured Torus and Punctured Klein Bottle
(Editorial UCA, 2007)
We extend Lawrencenko and Negami’s results in [4, 5] by establishing lower and upper bounds for the number of irreducible triangulations of the punctured torus and the punctured Klein bottle.