Counting Vertices with Given Outdegree in Plane Trees and k-ary Trees
Sign Up to like & getrecommendations! Published in 2019 at "Graphs and Combinatorics"
DOI: 10.1007/s00373-018-1975-8
Abstract: We count the number of vertices with given outdegree in plane trees and k-ary trees, and get the following results: the total number of vertices of outdegree i among all plane trees with n edges… read more here.
Keywords: vertices given; plane trees; ary trees; number vertices ... See more keywords
The containment profile of hyper-recursive trees
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Probability"
DOI: 10.1017/jpr.2021.50
Abstract: Abstract We investigate vertex levels of containment in a random hypergraph grown in the spirit of a recursive tree. We consider a local profile tracking the evolution of the containment of a particular vertex over… read more here.
Keywords: number vertices; containment level; containment; containment profile ... See more keywords
Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes
Sign Up to like & getrecommendations! Published in 2020 at "Studia Scientiarum Mathematicarum Hungarica"
DOI: 10.1556/012.2020.57.2.1454
Abstract: Fejes Toth [3] studied approximations of smooth surfaces in three-space by piecewise flat triangular meshes with a given number of vertices on the surface that are optimal with respect to Hausdorff distance. He proves that… read more here.
Keywords: hausdorff distance; number vertices; surface; refutation claim ... See more keywords