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- Biased_graph abstract "In mathematics, a biased graph is a graph with a list of distinguished circles (edge sets of simple cycles), such that if two circles in the list are contained in a theta graph, then so is the third circle of the theta graph. A biased graph is a generalization of the combinatorial essentials of a gain graph and in particular of a signed graph.Formally, a biased graph Ω is a pair (G, B) where B is a linear class of circles; this by definition is a class of circles that satisfies the theta-graph property mentioned above.A subgraph or edge set whose circles are all in B (and which contains no half-edges) is called balanced. For instance, a circle belonging to B is balanced and one that does not belong to B is unbalanced.Biased graphs are interesting mostly because of their matroids, but also because of their connection with multiary quasigroups. See below.".
- Biased_graph wikiPageExternalLink index.html.
- Biased_graph wikiPageID "2472880".
- Biased_graph wikiPageLength "9937".
- Biased_graph wikiPageOutDegree "29".
- Biased_graph wikiPageRevisionID "505849600".
- Biased_graph wikiPageWikiLink Bicircular_matroid.
- Biased_graph wikiPageWikiLink Category:Graph_families.
- Biased_graph wikiPageWikiLink Category:Matroid_theory.
- Biased_graph wikiPageWikiLink Cycle_(graph_theory).
- Biased_graph wikiPageWikiLink Digon.
- Biased_graph wikiPageWikiLink Dowling_geometry.
- Biased_graph wikiPageWikiLink Gain_graph.
- Biased_graph wikiPageWikiLink Glossary_of_graph_theory.
- Biased_graph wikiPageWikiLink Graph_(mathematics).
- Biased_graph wikiPageWikiLink Graph_minor.
- Biased_graph wikiPageWikiLink Graph_theory.
- Biased_graph wikiPageWikiLink If_and_only_if.
- Biased_graph wikiPageWikiLink Mathematics.
- Biased_graph wikiPageWikiLink Matroid.
- Biased_graph wikiPageWikiLink Minor_(graph_theory).
- Biased_graph wikiPageWikiLink Quasigroup.
- Biased_graph wikiPageWikiLink Quasigroups.
- Biased_graph wikiPageWikiLink Signed_graph.
- Biased_graph wikiPageWikiLink Simple_cycle.
- Biased_graph wikiPageWikiLink Symmetric_difference.
- Biased_graph wikiPageWikiLinkText "Biased graph".
- Biased_graph wikiPageWikiLinkText "biased graph minors".
- Biased_graph wikiPageWikiLinkText "biased graph".
- Biased_graph wikiPageWikiLinkText "frame matroid".
- Biased_graph wikiPageWikiLinkText "lift matroid".
- Biased_graph hasPhotoCollection Biased_graph.
- Biased_graph subject Category:Graph_families.
- Biased_graph subject Category:Matroid_theory.
- Biased_graph hypernym Graph.
- Biased_graph type Software.
- Biased_graph type Combinatoric.
- Biased_graph type Graph.
- Biased_graph comment "In mathematics, a biased graph is a graph with a list of distinguished circles (edge sets of simple cycles), such that if two circles in the list are contained in a theta graph, then so is the third circle of the theta graph.".
- Biased_graph label "Biased graph".
- Biased_graph sameAs m.07gfw7.
- Biased_graph sameAs Q4902585.
- Biased_graph sameAs Q4902585.
- Biased_graph wasDerivedFrom Biased_graph?oldid=505849600.
- Biased_graph isPrimaryTopicOf Biased_graph.