Unit disk graph information

geometric graph theory, a unit disk graph is the intersection graph of a family of unit disks in the Euclidean plane. That is, it is a graph with one vertex...

are obtained if and only if the unit disk is a regular hexagon or a parallelogram, respectively. Unit disk graph Unit sphere De Branges's theorem S. Golab...

may have different lengths. Every penny graph is a unit disk graph and a matchstick graph. Like planar graphs more generally, they obey the four color...

or polytope, unit disk graphs, and visibility graphs. Topics in this area include: Graph drawing Polyhedral graphs Random geometric graphs Voronoi diagrams...

permutation graph, in turn they are a special case of the family of the complements of comparability graphs known as cocomparability graphs. A unit disk graph is...

bandwidth allocation to radio stations, the resulting conflict graph is a unit disk graph, so the coloring problem is 3-approximable. A compiler is a computer...

dimensional unit disk graphs, it is possible to transform a set of points into their indifference graph, or a set of unit intervals into their unit interval...

geometric graph. For instance, the intersection graph of line segments in one dimension is an interval graph; the intersection graph of unit disks in the...

delivery in the so-called unit disk graph network model. Various variants, which were proposed later , also for non-unit disk graphs, are based on the principles...

In mathematics, particularly geometric graph theory, a unit distance graph is a graph formed from a collection of points in the Euclidean plane by connecting...

graphs. The clique cover problem remains NP-complete on some other special classes of graphs, including the cubic planar graphs and unit disk graphs....

can be found by applying the permutation graph algorithm to each neighborhood. Similarly, in a unit disk graph (with a known geometric representation)...

metric space is a special case of a clique complex, formed from the unit disk graph of the points; however, every clique complex X(G) may be interpreted...

Disk Utility is a system utility for performing disk and disk volume-related tasks on the macOS operating system by Apple Inc. The functions currently...

unit circle is called the open unit disk, while the interior of the unit circle combined with the unit circle itself is called the closed unit disk....

representing a graph as a unit disk graph may require exponentially many bits for the coordinates of the disk centers. Low-dimensional comparability graphs The comparability...

of disks of different sizes, placed in increasing order of size on a fixed set of towers. The Hanoi graph for a puzzle with n {\displaystyle n} disks on...

plane, that certain graphs including the polyhedral graphs have greedy embeddings in the Euclidean plane, and that unit disk graphs have greedy embeddings...

Double-stranded uracil-DNA glycosylase, an enzyme Ultra diffuse galaxy Unit disk graph from geometric graph theory udg, the ISO 639-3 code for the Muduga language UDG...

B.; Ravi, S. S.; Rosenkrantz, D. J. (1995). "Simple heuristics for unit disk graphs". Networks. 25 (2): 59. arXiv:math/9409226. doi:10.1002/net.3230250205...

measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units (SI) system the base unit for length...

special cases such as unit disk graphs and planar graphs. A minimum dominating set can be found in linear time in series–parallel graphs. A minimum dominating...

approximation ratio is 2. On unit disk graphs its approximation ratio is 3. The triangular prism is the smallest graph for which one of its degeneracy...

the sensor disks as possible. By applying Menger's theorem to the unit disk graph defined from the barriers, this minimal number of disks can be shown...