Platonic graph

http://dbpedia.org/resource/Platonic_graph an entity of type: Software

In the mathematical field of graph theory, a Platonic graph is a graph that has one of the Platonic solids as its skeleton. There are 5 Platonic graphs, and all of them are regular, polyhedral (and therefore by necessity also 3-vertex-connected, vertex-transitive, edge-transitive and planar graphs), and also Hamiltonian graphs. * Tetrahedral graph – 4 vertices, 6 edges * Octahedral graph – 6 vertices, 12 edges * Cubical graph – 8 vertices, 12 edges * Icosahedral graph – 12 vertices, 30 edges * Dodecahedral graph – 20 vertices, 30 edges rdf:langString
Graf platoński – graf, którego wierzchołki i krawędzie są wierzchołkami i krawędziami wielościanu foremnego (bryły platońskiej). Graf platoński stanowi graf planarny utworzony w wyniku rzutu środkowego wierzchołków oraz krawędzi wielościanu foremnego na płaszczyznę. rdf:langString
rdf:langString Platonic graph
rdf:langString Graf platoński
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rdf:langString Platonic graph
rdf:langString PlatonicGraph
rdf:langString In the mathematical field of graph theory, a Platonic graph is a graph that has one of the Platonic solids as its skeleton. There are 5 Platonic graphs, and all of them are regular, polyhedral (and therefore by necessity also 3-vertex-connected, vertex-transitive, edge-transitive and planar graphs), and also Hamiltonian graphs. * Tetrahedral graph – 4 vertices, 6 edges * Octahedral graph – 6 vertices, 12 edges * Cubical graph – 8 vertices, 12 edges * Icosahedral graph – 12 vertices, 30 edges * Dodecahedral graph – 20 vertices, 30 edges
rdf:langString Graf platoński – graf, którego wierzchołki i krawędzie są wierzchołkami i krawędziami wielościanu foremnego (bryły platońskiej). Graf platoński stanowi graf planarny utworzony w wyniku rzutu środkowego wierzchołków oraz krawędzi wielościanu foremnego na płaszczyznę.
xsd:nonNegativeInteger 1810

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