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The automorphism group of the Tutte 12-cage is of order 12,096 and is a semi-direct product of the projective special unitary group PSU(3,3) with the cyclic group Z/2Z. [1] It acts transitively on its edges but not on its vertices, making it a semi-symmetric graph, a regular graph that is edge-transitive but not vertex-transitive.
If a graph has vertices with high degree then it necessarily will have small angular resolution, but the angular resolution can be bounded below by a function of the degree. [12] The slope number of a graph is the minimum number of distinct edge slopes needed in a drawing with straight line segment edges (allowing crossings).
[11] Sphinx is a documentation generator that can use Graphviz to embed graphs in documents. Terraform an infrastructure-as-code tool from Hashicorp allows output of an execution plan as a DOT resource graph; TOra a free-software database development and administration GUI, available under the GNU GPL. Trac wiki has a Graphviz plugin. [12]
The English Standard Version (ESV) is a translation of the Bible in contemporary English. Published in 2001 by Crossway , the ESV was "created by a team of more than 100 leading evangelical scholars and pastors."
The automorphism group of the Livingstone graph is the sporadic simple group J 1, and the stabiliser of a point is PSL(2,11). As the stabiliser is maximal in J 1 , it acts primitively on the graph. As the Livingstone graph is distance-transitive, PSL(2,11) acts transitively on the set of 11 vertices adjacent to a reference vertex v , and also ...
[18] Another popular use of the calculator involves the creation of graphic arts using equations and inequalities . [ 19 ] Some of these projects have included features such as 3D via parameterization, and with the use of RGB and HSV colouring introduced in late 2020, [ 20 ] artwork with custom colouring, as well as the domain colouring of ...
However, the graph is not 1-factorable. In graph theory, a factor of a graph G is a spanning subgraph, i.e., a subgraph that has the same vertex set as G. A k-factor of a graph is a spanning k-regular subgraph, and a k-factorization partitions the edges of the graph into disjoint k-factors. A graph G is said to be k-factorable if it admits a k ...