Results 131 to 140 of about 33,778 (318)
A characterization of hypergraphs which are products of a finite number of edges [PDF]
We prove that a hypergraph is a product of a finite number of edges if and only if it is interval-regular, satisfies the gated-edge property and has a vertex of finite degree. As a consequence, we get a characterization of Hamming graphs.
Marco Buratti+2 more
doaj
Geodesic Mappings and Einstein Spaces [PDF]
In this paper we study fundamental properties of geodesic mappings with respect to the smoothness class of metrics. We show that geodesic mappings preserve the smoothness class of metrics. We study geodesic mappings of Einstein spaces.
arxiv
A visualization of null geodesics for the bonnor massive dipole
In this work we simulate null geodesics for the Bonnor massive dipole metric by implementing a symbolic-numerical algorithm in Sage and Python. This program is also capable of visualizing in 3D, in principle, the geodesics for any given metric. Geodesics
G. Andree Oliva Mercado+3 more
doaj +1 more source
Weak tight geodesics in the curve complex: examples and gaps [PDF]
Tight geodesics were introduced by Masur-Minsky in [17]. They and their hierarchies have been a powerful tool in the study of the curve complex, mapping class groups, Teichm\"uller spaces, and hyperbolic 3-manifolds. In the same paper, they showed that there are at least one and at most finitely many tight geodesics between any two vertices in the ...
arxiv
Optimal three-dimensional biped walking pattern generation based on geodesics
The innovative three-dimensional humanoid biped gait planning method using geodesics is introduced in this article. In order to control three-dimensional walking, the three-dimensional linear inverted pendulum model is studied in our energy-optimal gait ...
Liandong Zhang, Changjiu Zhou
doaj +1 more source
A prime Geodesic Theorem for SL3(Z) [PDF]
We show a Prime Geodesic Theorem for the group SL3(Z), counting those geodesics whose lifts lie in the split Cartan subgroup. This is the first arithmetic Prime Geodesic Theorem of higher rank for a non-cocompact group.
arxiv
As aplicações da geometria diferencial na física não estão restritas somente à teoria da relatividade geral. Esse artigo é dedicado a mostrar uma das diversas aplicações dos métodos geométricos a um conceito físico elementar e ao mesmo tempo profundo: a ...
Roldão da Rocha
doaj +1 more source
Addition to the Memoir on Geodesic Lines, in particular those of a Quadric surface* [PDF]
Cayley
openalex +1 more source
On Geodesic Leech Labeling of Some Graph Classes [PDF]
Let $f:E\rightarrow \{1,2,3,\dots\}$ be an edge labeling of $G$. The geodesic path number of $G$, $t_{gp}(G)$, is the number of geodesic paths in $G$. An edge labeling $f$ is called a geodesic Leech labeling, if the set of weights of the geodesic paths in $G$ is $\{1,2,3,\dots,t_{gp}(G)\}$, where the weight of a path $P$ is the sum of the labels ...
arxiv