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Voltage Group


The voltage group of a voltage graph is the group Gamma whose elements are assigned as voltages to the darts of the graph. In the derived graph cover, the vertices are pairs (v,g) with v a vertex of the base graph and g in Gamma (Gross 1974, Gross and Tucker 1987).


See also

Base Graph, Graph Cover, Group, Group Element, Voltage Graph

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References

Gross, J. L. "Voltage Graphs." Disc. Math. 9, 239-246, 1974.Gross, J. L. and Tucker, T. W. Topological Graph Theory. New York: Wiley, 1987.

Cite this as:

Weisstein, Eric W. "Voltage Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/VoltageGroup.html

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