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Artículo
The seven-triangle longest-side partition of triangles and mesh quality improvement
(Elsevier, 2008)
A new triangle partition, the seven-triangle longest-edge partition, based on the trisection of the edges is presented and the associated mesh quality improvement property, discussed. The seven-triangle longest-edge ...
Artículo
A sufficient degree condition for a graph to contain all trees of size k
(Springer, 2011)
The Erdös–Sós conjecture says that a graph G on n vertices and number of edges e(G) > n(k − 1)/2 contains all trees of size k. In this paper we prove a sufficient condition for a graph to contain every tree of size k ...
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.