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Voltage graph

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.

The derived graph, Examples & Overview

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Overview

Definition

The derived graph

Examples

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Map overview Semantic statistics

Voltage graph

Nodes30
Edges29
Triples52
Avg. degree1.93
Density0.066667
Components1

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Voltage graph

Top relations

related to References · 35
Voltage graph → Annual ACM Symposium, Cohen, Computing, Detecting, Discrete Mathematics, Edith, Generating, Gregory, Gross, ISBN, Iwano, Jonathan, Kosaraju, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Megiddo, NC, New York, Nimrod
related to Examples · 6
Voltage graph → Any Cayley, GP, More, One, Petersen, The Petersen
related to Definition · 5
Voltage graph → Begin, For, Formal, Pi, The
is a · 3
Voltage graph → directed graph whose edges are labelled invertibly by elements of a group, identity element, pair
related to The derived graph · 3
Voltage graph → Although, In, The

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Important terminology

graph voltage group derived displaystyle graphs theory mathbb edges may doi π-voltage pi edge 10 directed bipartite element case alpha

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Voltage graphis adirected graph whose edges are labelled invertibly by elements of a group0.90text
Voltage graphis apair0.90text
Voltage graphis aidentity element0.90text
Voltage graphrelated to DefinitionFormal0.60section
Voltage graphrelated to DefinitionBegin0.60section
Voltage graphrelated to DefinitionThe0.60section
Voltage graphrelated to DefinitionPi0.60section
Voltage graphrelated to DefinitionFor0.60section
Voltage graphrelated to ExamplesAny Cayley0.60section
Voltage graphrelated to ExamplesThe Petersen0.60section
Voltage graphrelated to ExamplesOne0.60section
Voltage graphrelated to ExamplesMore0.60section

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    Min side: 3
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