Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Periodic_graph_(geometry)> ?p ?o }
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- Periodic_graph_(geometry) abstract "A Euclidean graph (a graph embedded in some Euclidean space) is periodic if there exists a basis of that Euclidean space whose corresponding translations induce symmetries of that graph (i.e., application of any such translation to the graph embedded in the Euclidean space leaves the graph unchanged). Equivalently, a periodic Euclidean graph is a periodic realization of an abelian covering graph over a finite graph. A Euclidean graph is uniformly discrete if there is a minimal distance between any two vertices. Periodic graphs are closely related to tessellations of space (or honeycombs) and the geometry of their symmetry groups, hence to geometric group theory, as well as to discrete geometry and the theory of polytopes, and similar areas.Much of the effort in periodic graphs is motivated by applications to natural science and engineering, particularly of three-dimensional crystal nets to crystal engineering, crystal prediction (design), and modeling crystal behavior. Periodic graphs have also been studied in modeling very-large-scale integration (VLSI) circuits.".
- Periodic_graph_(geometry) wikiPageExternalLink home.html.
- Periodic_graph_(geometry) wikiPageID "29008597".
- Periodic_graph_(geometry) wikiPageLength "17611".
- Periodic_graph_(geometry) wikiPageOutDegree "52".
- Periodic_graph_(geometry) wikiPageRevisionID "647139165".
- Periodic_graph_(geometry) wikiPageWikiLink Arthur_Moritz_Schoenflies.
- Periodic_graph_(geometry) wikiPageWikiLink Basis_(linear_algebra).
- Periodic_graph_(geometry) wikiPageWikiLink Bieberbach.
- Periodic_graph_(geometry) wikiPageWikiLink Boris_Delaunay.
- Periodic_graph_(geometry) wikiPageWikiLink CW_complex.
- Periodic_graph_(geometry) wikiPageWikiLink Category:Geometric_graphs.
- Periodic_graph_(geometry) wikiPageWikiLink Crystal_engineering.
- Periodic_graph_(geometry) wikiPageWikiLink Crystal_net.
- Periodic_graph_(geometry) wikiPageWikiLink Crystal_structure_prediction.
- Periodic_graph_(geometry) wikiPageWikiLink Cycle_(graph_theory).
- Periodic_graph_(geometry) wikiPageWikiLink Degree_(graph_theory).
- Periodic_graph_(geometry) wikiPageWikiLink Discrete_geometry.
- Periodic_graph_(geometry) wikiPageWikiLink Discrete_space.
- Periodic_graph_(geometry) wikiPageWikiLink Euclidean_space.
- Periodic_graph_(geometry) wikiPageWikiLink Evgraf_Fedorov.
- Periodic_graph_(geometry) wikiPageWikiLink Fundamental_domain.
- Periodic_graph_(geometry) wikiPageWikiLink Geometric_graph_theory.
- Periodic_graph_(geometry) wikiPageWikiLink Geometric_group_theory.
- Periodic_graph_(geometry) wikiPageWikiLink Glass.
- Periodic_graph_(geometry) wikiPageWikiLink Gyroid.
- Periodic_graph_(geometry) wikiPageWikiLink Hilberts_eighteenth_problem.
- Periodic_graph_(geometry) wikiPageWikiLink Homotopic.
- Periodic_graph_(geometry) wikiPageWikiLink Homotopy.
- Periodic_graph_(geometry) wikiPageWikiLink Honeycomb_(geometry).
- Periodic_graph_(geometry) wikiPageWikiLink Hyperbolic_geometry.
- Periodic_graph_(geometry) wikiPageWikiLink Isomorphism_(crystallography).
- Periodic_graph_(geometry) wikiPageWikiLink Line_segment.
- Periodic_graph_(geometry) wikiPageWikiLink Ludwig_Bieberbach.
- Periodic_graph_(geometry) wikiPageWikiLink Minimal_surface.
- Periodic_graph_(geometry) wikiPageWikiLink N-skeleton.
- Periodic_graph_(geometry) wikiPageWikiLink Net_(polyhedron).
- Periodic_graph_(geometry) wikiPageWikiLink Periodic_Graphs_(Crystallography).
- Periodic_graph_(geometry) wikiPageWikiLink Periodic_graph_(crystallography).
- Periodic_graph_(geometry) wikiPageWikiLink Polynomial-time_reduction.
- Periodic_graph_(geometry) wikiPageWikiLink Polynomial_time.
- Periodic_graph_(geometry) wikiPageWikiLink Polytope.
- Periodic_graph_(geometry) wikiPageWikiLink Prototile.
- Periodic_graph_(geometry) wikiPageWikiLink Quasicrystal.
- Periodic_graph_(geometry) wikiPageWikiLink Schlafli_symbol.
- Periodic_graph_(geometry) wikiPageWikiLink Schläfli_symbol.
- Periodic_graph_(geometry) wikiPageWikiLink Schoenflies.
- Periodic_graph_(geometry) wikiPageWikiLink Schwarz_minimal_surface.
- Periodic_graph_(geometry) wikiPageWikiLink Set_(mathematics).
- Periodic_graph_(geometry) wikiPageWikiLink Space_group.
- Periodic_graph_(geometry) wikiPageWikiLink Symmetry_group.
- Periodic_graph_(geometry) wikiPageWikiLink Symmetry_groups.
- Periodic_graph_(geometry) wikiPageWikiLink Tessellation_of_space.
- Periodic_graph_(geometry) wikiPageWikiLink Three-dimensional.
- Periodic_graph_(geometry) wikiPageWikiLink Three-dimensional_space_(mathematics).
- Periodic_graph_(geometry) wikiPageWikiLink Time_complexity.
- Periodic_graph_(geometry) wikiPageWikiLink Translation_(geometry).
- Periodic_graph_(geometry) wikiPageWikiLink Triply_periodic_minimal_surface.
- Periodic_graph_(geometry) wikiPageWikiLink Very-large-scale_integration.
- Periodic_graph_(geometry) wikiPageWikiLink Vlsi.
- Periodic_graph_(geometry) wikiPageWikiLink Zeolite.
- Periodic_graph_(geometry) wikiPageWikiLinkText "Periodic graph (geometry)".
- Periodic_graph_(geometry) wikiPageWikiLinkText "Periodic graph".
- Periodic_graph_(geometry) wikiPageWikiLinkText "Periodic graphs".
- Periodic_graph_(geometry) wikiPageWikiLinkText "periodic graph".
- Periodic_graph_(geometry) hasPhotoCollection Periodic_graph_(geometry).
- Periodic_graph_(geometry) wikiPageUsesTemplate Template:Citation.
- Periodic_graph_(geometry) wikiPageUsesTemplate Template:Other_uses.
- Periodic_graph_(geometry) wikiPageUsesTemplate Template:Reflist.
- Periodic_graph_(geometry) subject Category:Geometric_graphs.
- Periodic_graph_(geometry) comment "A Euclidean graph (a graph embedded in some Euclidean space) is periodic if there exists a basis of that Euclidean space whose corresponding translations induce symmetries of that graph (i.e., application of any such translation to the graph embedded in the Euclidean space leaves the graph unchanged). Equivalently, a periodic Euclidean graph is a periodic realization of an abelian covering graph over a finite graph.".
- Periodic_graph_(geometry) label "Periodic graph (geometry)".
- Periodic_graph_(geometry) sameAs m.0dgrkhs.
- Periodic_graph_(geometry) sameAs Q7168638.
- Periodic_graph_(geometry) sameAs Q7168638.
- Periodic_graph_(geometry) wasDerivedFrom Periodic_graph_(geometry)?oldid=647139165.
- Periodic_graph_(geometry) isPrimaryTopicOf Periodic_graph_(geometry).