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- Rank_(graph_theory) abstract "In graph theory, a branch of mathematics, the rank of an undirected graph is defined as the number n − c, where n is the number of vertices and c is the number of connected components of the graph. Equivalently, the rank of a graph is the rank of the oriented incidence matrix associated with the graph.Analogously, the nullity of an undirected graph is the nullity of its incidence matrix, given by the formula m − n + c, where n and c are as above and m is the number of edges in the graph. The nullity is equal to the first Betti number of the graph. The sum of the rank and the nullity is the number of edges.".
- Rank_(graph_theory) wikiPageID "17458495".
- Rank_(graph_theory) wikiPageLength "1745".
- Rank_(graph_theory) wikiPageOutDegree "14".
- Rank_(graph_theory) wikiPageRevisionID "576343137".
- Rank_(graph_theory) wikiPageWikiLink Betti_number.
- Rank_(graph_theory) wikiPageWikiLink Category:Algebraic_graph_theory.
- Rank_(graph_theory) wikiPageWikiLink Category:Graph_connectivity.
- Rank_(graph_theory) wikiPageWikiLink Category:Graph_invariants.
- Rank_(graph_theory) wikiPageWikiLink Circuit_rank.
- Rank_(graph_theory) wikiPageWikiLink Connected_component_(graph_theory).
- Rank_(graph_theory) wikiPageWikiLink Cycle_rank.
- Rank_(graph_theory) wikiPageWikiLink Graph_(mathematics).
- Rank_(graph_theory) wikiPageWikiLink Graph_theory.
- Rank_(graph_theory) wikiPageWikiLink Incidence_matrix.
- Rank_(graph_theory) wikiPageWikiLink Kernel_(linear_algebra).
- Rank_(graph_theory) wikiPageWikiLink Kernel_(matrix).
- Rank_(graph_theory) wikiPageWikiLink Nullity_(graph_theory).
- Rank_(graph_theory) wikiPageWikiLink Rank_(linear_algebra).
- Rank_(graph_theory) wikiPageWikiLink Undirected_graph.
- Rank_(graph_theory) wikiPageWikiLink Vertex_(graph_theory).
- Rank_(graph_theory) wikiPageWikiLinkText "Rank (graph theory)".
- Rank_(graph_theory) wikiPageWikiLinkText "rank".
- Rank_(graph_theory) hasPhotoCollection Rank_(graph_theory).
- Rank_(graph_theory) wikiPageUsesTemplate Template:Citation.
- Rank_(graph_theory) wikiPageUsesTemplate Template:Math.
- Rank_(graph_theory) subject Category:Algebraic_graph_theory.
- Rank_(graph_theory) subject Category:Graph_connectivity.
- Rank_(graph_theory) subject Category:Graph_invariants.
- Rank_(graph_theory) hypernym Number.
- Rank_(graph_theory) comment "In graph theory, a branch of mathematics, the rank of an undirected graph is defined as the number n − c, where n is the number of vertices and c is the number of connected components of the graph. Equivalently, the rank of a graph is the rank of the oriented incidence matrix associated with the graph.Analogously, the nullity of an undirected graph is the nullity of its incidence matrix, given by the formula m − n + c, where n and c are as above and m is the number of edges in the graph.".
- Rank_(graph_theory) label "Rank (graph theory)".
- Rank_(graph_theory) sameAs Hodnost_(graf).
- Rank_(graph_theory) sameAs m.04g1wkb.
- Rank_(graph_theory) sameAs Q7293202.
- Rank_(graph_theory) sameAs Q7293202.
- Rank_(graph_theory) wasDerivedFrom Rank_(graph_theory)?oldid=576343137.
- Rank_(graph_theory) isPrimaryTopicOf Rank_(graph_theory).