AM Raigorodskii - Discrete geometry and algebraic …, 2013 - books.google.com
Cliques and cycles in distance graphs and graphs of diameters. Page 102 Contemporary Mathematics Volume 625 , 2014 http://dx. doi. org/10.1090/conm/625/12493 Cliques and cycles …
JS Grover, C Liu, K Sycara - … Foundations of Robotics XIV: Proceedings of …, 2021 - Springer
Collision avoidance for multirobot systems is a well studied problem. Recently, control barrier functions (CBFs) have been proposed for synthesizing controllers that guarantee …
VA Voronov, AM Neopryatnaya, EA Dergachev - Discrete Mathematics, 2022 - Elsevier
This paper is devoted to the development of algorithms for finding unit distance graphs with chromatic number greater than 4, embedded in a two-dimensional sphere or plane. Such …
The dimension of a graph G is the smallest d for which its vertices can be embedded in d- dimensional Euclidean space in the sense that the distances between endpoints of edges …
Collision avoidance for multirobot systems is a well studied problem. Recently, control barrier functions (CBFs) have been proposed for synthesizing controllers guarantee collision …
We study the fundamental problem of graph generation. Specifically, we treat graph generation from a geometric perspective by associating each node with a position in space …
In 1975 Erd\H {o} s initiated the study of the following very natural question. What can be said about the chromatic number of unit distance graphs in $\mathbb {R}^ 2$ that have large …