On volumes of truncated tetrahedra with constrained edge lengths
Sign Up to like & getrecommendations! Published in 2019 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-018-00277-8
Abstract: Truncated tetrahedra are the fundamental building blocks of hyperbolic 3-manifolds with geodesic boundary. The study of their geometric properties (in particular, of their volume) has applications also in other areas of low-dimensional topology, like the… read more here.
Keywords: volume; volumes truncated; tetrahedra constrained; edge lengths ... See more keywords
The sum of edge lengths in random linear arrangements
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab11e2
Abstract: Spatial networks are networks where nodes are located in a space equipped with a metric. Typically, the space is two-dimensional and until recently and traditionally, the metric that was usually considered was the Euclidean distance.… read more here.
Keywords: sum edge; edge lengths; random linear; lengths random ... See more keywords