- Constructions
There are several different ways of constructing the Desargues graph:
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Desargues Graph -- from Wolfram MathWorld
The Desargues graph is the cubic symmetric graph on 20 vertices and 30 edges illustrated above in several embeddings. It is isomorphic to the generalized Petersen graph GP(10,3) and to the bipartite Kneser graph H(5,2).
Desargues configuration - Wikipedia
The Desargues graph, a 20-vertex bipartite symmetric cubic graph, is so called because it can be interpreted as the Levi graph of the Desargues configuration, with a vertex for each point and …
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Desargues graph - Eindhoven University of Technology
The Desargues graph is the bipartite point-line incidence graph of that configuration. This configuration is found as the configuration of 10 internal points and 10 elliptic lines for a conic …
Graph of graphs - University of Toronto Department of Mathematics
Desargues graph - Wikiwand
In the mathematical field of graph theory, the Desargues graph is a distance-transitive, cubic graph with 20 vertices and 30 edges. [1] It is named after Girard Desargues, arises from …
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Girard Desargues - Wikipedia
Girard Desargues (French: [ʒiʁaʁ dezaʁɡ]; 21 February 1591 – September 1661) was a French mathematician and engineer, who is considered one of the founders of projective geometry. [1] …
desargues_graph — graph-tool 2.92 documentation
The Desargues Graph is a non-planar, distance-transitive cubic graph with 20 nodes and 30 edges [desargues_wiki]. It is a symmetric graph. It can be represented in LCF notation as [5, − …
Desargues Graph - people.math.sc.edu
Desargues Graph Desargues Graph has 20 vertices and 30 edges. The girth is 6. You can use the following applet to get different drawings like the following images.
Desargues Configuration -- from Wolfram MathWorld
The Desargues configuration is a configuration of ten lines intersecting three at a time in 10 points which arises in Desargues' theorem. Its Levi graph is the Desargues graph.
Study of the Non-planarity of the Desargues Graph
In this paper, we give the definition and construction of the Desargues graph, and illustrate some of its properties like symmetry, hamiltonicity, etc. We put forward and analyze three different …
HI, IJ, is called Desargues' Graph. The graph H consisting of the vertices A, B, C, D, E, F, G, H, 1, and the arcs AD, AE, AN, AG, AH, AI, BD, BE, BF, BG, BH, BI, CD, CE, CF, CG, CH, CI, DG, …
Network Theory (Part 15) - Department of Mathematics
We focused on two beautiful but not completely realistic examples that both give rise to the same highly symmetrical graph: the 'Desargues graph'. Today I'll show you how a molecule can …
Desargues graph | EPFL Graph Search
In the mathematical field of graph theory, the Desargues graph is a distance-transitive, cubic graph with 20 vertices and 30 edges. It is named after Girard Desargues, arises from several …
Girard Desargues and Projective Geometry - SciHi Blog
On February 21, 1591, French mathematician and engineer Girard Desargues was born. Desargues is considered one of the founders of projective geometry. Desargues ‘ theorem, the …
Desargues graph - Wikiwand
In the mathematical field of graph theory, the Desargues graph is a distance-transitive, cubic graph with 20 vertices and 30 edges. It is named after Girard Desargues, arises from several …
Desargues graph - Alchetron, The Free Social Encyclopedia
Oct 19, 2023 · In the mathematical field of graph theory, the Desargues graph is a distancetransitive cubic graph with 20 vertices and 30 edges. It is named after Girard …
There exists a unique spanning cactus in the Desargues Graph. Proof. If possible, let C be a spanning cactus of the Desargues graph G which is not a Hamiltonian cycle. Then C must …
Desargues graph
Desargues' theorem, named after 17th-century French mathematician Gérard Desargues, describes a set of points and lines forming this configuration, and the configuration and the …
Desargues' theorem - Scientific Lib
The Desargues graph, a 20-vertex bipartite symmetric cubic graph, is so called because it can be interpreted as the Levi graph of the Desargues configuration, with a vertex for each point and …
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