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- Herschel_graph abstract "In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 11 vertices and 18 edges, the smallest non-Hamiltonian polyhedral graph. It is named after British astronomer Alexander Stewart Herschel, who wrote an early paper concerning William Rowan Hamilton's icosian game: the Herschel graph describes the smallest convex polyhedron for which this game has no solution. However, Herschel's paper described solutions for the Icosian game only on the graphs of the regular tetrahedron and regular icosahedron; it did not describe the Herschel graph.".
- Herschel_graph thumbnail Herschel_graph_LS.svg?width=300.
- Herschel_graph wikiPageID "24670148".
- Herschel_graph wikiPageLength "6571".
- Herschel_graph wikiPageOutDegree "48".
- Herschel_graph wikiPageRevisionID "701391525".
- Herschel_graph wikiPageWikiLink Alexander_Stewart_Herschel.
- Herschel_graph wikiPageWikiLink Barnettes_conjecture.
- Herschel_graph wikiPageWikiLink Bipartite_graph.
- Herschel_graph wikiPageWikiLink Category:Hamiltonian_paths_and_cycles.
- Herschel_graph wikiPageWikiLink Category:Individual_graphs.
- Herschel_graph wikiPageWikiLink Category:Planar_graphs.
- Herschel_graph wikiPageWikiLink Characteristic_polynomial.
- Herschel_graph wikiPageWikiLink Convex_polytope.
- Herschel_graph wikiPageWikiLink Cubic_graph.
- Herschel_graph wikiPageWikiLink Dihedral_group.
- Herschel_graph wikiPageWikiLink Edge_coloring.
- Herschel_graph wikiPageWikiLink Enneahedron.
- Herschel_graph wikiPageWikiLink Glossary_of_graph_theory.
- Herschel_graph wikiPageWikiLink Goldner–Harary_graph.
- Herschel_graph wikiPageWikiLink Graph_(discrete_mathematics).
- Herschel_graph wikiPageWikiLink Graph_coloring.
- Herschel_graph wikiPageWikiLink Graph_theory.
- Herschel_graph wikiPageWikiLink Hamiltonian_path.
- Herschel_graph wikiPageWikiLink Hexagon.
- Herschel_graph wikiPageWikiLink Icosian_game.
- Herschel_graph wikiPageWikiLink Induced_subgraph.
- Herschel_graph wikiPageWikiLink K-vertex-connected_graph.
- Herschel_graph wikiPageWikiLink Mathematics.
- Herschel_graph wikiPageWikiLink Medial_graph.
- Herschel_graph wikiPageWikiLink N-skeleton.
- Herschel_graph wikiPageWikiLink Perfect_graph.
- Herschel_graph wikiPageWikiLink Planar_graph.
- Herschel_graph wikiPageWikiLink Polyhedral_graph.
- Herschel_graph wikiPageWikiLink Regular_graph.
- Herschel_graph wikiPageWikiLink Regular_icosahedron.
- Herschel_graph wikiPageWikiLink Steinitzs_theorem.
- Herschel_graph wikiPageWikiLink Taits_conjecture.
- Herschel_graph wikiPageWikiLink Tetrahedron.
- Herschel_graph wikiPageWikiLink Tutte_graph.
- Herschel_graph wikiPageWikiLink Vertex-transitive_graph.
- Herschel_graph wikiPageWikiLink W._T._Tutte.
- Herschel_graph wikiPageWikiLink William_Rowan_Hamilton.
- Herschel_graph wikiPageWikiLink File:Herschel_graph_LS.svg.
- Herschel_graph wikiPageWikiLinkText "Herschel graph".
- Herschel_graph automorphisms "12".
- Herschel_graph chromaticIndex "4".
- Herschel_graph chromaticNumber "2".
- Herschel_graph diameter "4".
- Herschel_graph edges "18".
- Herschel_graph girth "4".
- Herschel_graph imageCaption "The Herschel graph.".
- Herschel_graph name "Herschel graph".
- Herschel_graph namesake Alexander_Stewart_Herschel.
- Herschel_graph properties Bipartite_graph.
- Herschel_graph properties Perfect_graph.
- Herschel_graph properties Planar_graph.
- Herschel_graph properties Polyhedral_graph.
- Herschel_graph radius "3".
- Herschel_graph title "Herschel Graph".
- Herschel_graph urlname "HerschelGraph".
- Herschel_graph vertices "11".
- Herschel_graph wikiPageUsesTemplate Template:Infobox_graph.
- Herschel_graph wikiPageUsesTemplate Template:Math.
- Herschel_graph wikiPageUsesTemplate Template:Mathworld.
- Herschel_graph wikiPageUsesTemplate Template:Reflist.
- Herschel_graph wikiPageUsesTemplate Template:Sup.
- Herschel_graph subject Category:Hamiltonian_paths_and_cycles.
- Herschel_graph subject Category:Individual_graphs.
- Herschel_graph subject Category:Planar_graphs.
- Herschel_graph hypernym Graph.
- Herschel_graph type Software.
- Herschel_graph type Graph.
- Herschel_graph type Object.
- Herschel_graph comment "In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 11 vertices and 18 edges, the smallest non-Hamiltonian polyhedral graph. It is named after British astronomer Alexander Stewart Herschel, who wrote an early paper concerning William Rowan Hamilton's icosian game: the Herschel graph describes the smallest convex polyhedron for which this game has no solution.".
- Herschel_graph label "Herschel graph".
- Herschel_graph sameAs Q3115504.
- Herschel_graph sameAs Graphe_de_Herschel.
- Herschel_graph sameAs m.0808f2n.
- Herschel_graph sameAs Граф_Хершеля.
- Herschel_graph sameAs Q3115504.
- Herschel_graph wasDerivedFrom Herschel_graph?oldid=701391525.
- Herschel_graph depiction Herschel_graph_LS.svg.
- Herschel_graph isPrimaryTopicOf Herschel_graph.