About: Voltage graph

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In graph theory, a voltage graph is a directed graph whose edges are labelled invertibly by elements of a group. It is formally identical to a gain graph, but it is generally used in topological graph theory as a concise way to specify another graph called the derived graph of the voltage graph.

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rdfs:label	Voltage graph (en)
rdfs:comment	In graph theory, a voltage graph is a directed graph whose edges are labelled invertibly by elements of a group. It is formally identical to a gain graph, but it is generally used in topological graph theory as a concise way to specify another graph called the derived graph of the voltage graph. (en)
dcterms:subject	Extensions and generalizations of graphs
Wikipage page ID	8802504 (xsd:integer)
Wikipage revision ID	1093627004 (xsd:integer)
Link from a Wikipage to another Wikipage	Bipartite double cover Algorithm Undirected graph Integer lattice Extensions and generalizations of graphs Generalized Petersen graph Petersen graph Graph (discrete mathematics) Graph coloring Gain graph Cyclic group Euclidean space Cayley graph Directed graph Graph theory Tessellation Group (mathematics) Covering graph Bipartite graph Free group Polynomial time Kirchhoff's circuit laws Topological graph theory Derived graph Digraph (mathematics) dbr:Current_graph
sameAs	Voltage graph Voltage graph Voltage graph Voltage graph
dbp:wikiPageUsesTemplate	dbt:= dbt:Citation dbt:Math dbt:Reflist dbt:Short_description
has abstract	In graph theory, a voltage graph is a directed graph whose edges are labelled invertibly by elements of a group. It is formally identical to a gain graph, but it is generally used in topological graph theory as a concise way to specify another graph called the derived graph of the voltage graph. Typical choices of the groups used for voltage graphs include the two-element group ℤ2 (for defining the bipartite double cover of a graph), free groups (for defining the universal cover of a graph), d-dimensional integer lattices ℤd (viewed as a group under vector addition, for defining periodic structures in d-dimensional Euclidean space), and finite cyclic groups ℤn for n > 2. When Π is a cyclic group, the voltage graph may be called a cyclic-voltage graph. (en)
gold:hypernym	Graph
prov:wasDerivedFrom	wikipedia-en:Voltage_graph?oldid=1093627004&ns=0
page length (characters) of wiki page	7243 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Voltage_graph
is Link from a Wikipage to another Wikipage of	Bipartite double cover Generalized Petersen graph McKay–Miller–Širáň graph Gain graph Covering graph Voltage (disambiguation) Topological graph theory Voltage group
is Wikipage redirect of	Voltage group
is Wikipage disambiguates of	Voltage (disambiguation)
is foaf:primaryTopic of	wikipedia-en:Voltage_graph

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