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- McLaughlin_graph abstract "In the mathematical field of graph theory, the McLaughlin graph is a strongly regular graph with parameters (275,112,30,56), and is the only such graph.The group theorist Jack McLaughlin discovered that the automorphism group of this graph had a subgroup of index 2 which was a previously undiscovered finite simple group, now called the McLaughlin sporadic group.The automorphism group has rank 3, meaning that its point stabilizer subgroup divides the remaining 274 vertices into two orbits. Those orbits contain 112 and 162 vertices. The former is the colinearity graph of the generalized quadrangle GQ(3,9). The latter is a strongly regular graph called the local McLaughlin graph.".
- McLaughlin_graph wikiPageExternalLink McL.html.
- McLaughlin_graph wikiPageID "46573575".
- McLaughlin_graph wikiPageLength "1647".
- McLaughlin_graph wikiPageOutDegree "15".
- McLaughlin_graph wikiPageRevisionID "668634856".
- McLaughlin_graph wikiPageWikiLink Andries_Brouwer.
- McLaughlin_graph wikiPageWikiLink Automorphism.
- McLaughlin_graph wikiPageWikiLink Automorphism_group.
- McLaughlin_graph wikiPageWikiLink Category:Individual_graphs.
- McLaughlin_graph wikiPageWikiLink Category:Regular_graphs.
- McLaughlin_graph wikiPageWikiLink Finite_simple_group.
- McLaughlin_graph wikiPageWikiLink Generalized_quadrangle.
- McLaughlin_graph wikiPageWikiLink Graph_theory.
- McLaughlin_graph wikiPageWikiLink Group_action.
- McLaughlin_graph wikiPageWikiLink Group_theory.
- McLaughlin_graph wikiPageWikiLink List_of_finite_simple_groups.
- McLaughlin_graph wikiPageWikiLink Local_McLaughlin_graph.
- McLaughlin_graph wikiPageWikiLink Mathematics.
- McLaughlin_graph wikiPageWikiLink McLaughlin_sporadic_group.
- McLaughlin_graph wikiPageWikiLink Orbit_(group_theory).
- McLaughlin_graph wikiPageWikiLink Point_stabilizer.
- McLaughlin_graph wikiPageWikiLink Rank_3_permutation_group.
- McLaughlin_graph wikiPageWikiLink Strongly_regular_graph.
- McLaughlin_graph wikiPageWikiLinkText "McLaughlin graph".
- McLaughlin_graph automorphisms "1796256000".
- McLaughlin_graph diameter "2".
- McLaughlin_graph edges "15400".
- McLaughlin_graph girth "3".
- McLaughlin_graph hasPhotoCollection McLaughlin_graph.
- McLaughlin_graph name "McLaughlin graph".
- McLaughlin_graph radius "2".
- McLaughlin_graph vertices "275".
- McLaughlin_graph wikiPageUsesTemplate Template:Citation.
- McLaughlin_graph wikiPageUsesTemplate Template:Cite_web.
- McLaughlin_graph wikiPageUsesTemplate Template:Combin-stub.
- McLaughlin_graph wikiPageUsesTemplate Template:Infobox_graph.
- McLaughlin_graph subject Category:Individual_graphs.
- McLaughlin_graph subject Category:Regular_graphs.
- McLaughlin_graph comment "In the mathematical field of graph theory, the McLaughlin graph is a strongly regular graph with parameters (275,112,30,56), and is the only such graph.The group theorist Jack McLaughlin discovered that the automorphism group of this graph had a subgroup of index 2 which was a previously undiscovered finite simple group, now called the McLaughlin sporadic group.The automorphism group has rank 3, meaning that its point stabilizer subgroup divides the remaining 274 vertices into two orbits.".
- McLaughlin_graph label "McLaughlin graph".
- McLaughlin_graph sameAs m.0134zj0v.
- McLaughlin_graph wasDerivedFrom McLaughlin_graph?oldid=668634856.
- McLaughlin_graph isPrimaryTopicOf McLaughlin_graph.