Voltage Graph

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Geliefert zwischen Mi., 26.11.2025 und Do., 27.11.2025

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High Quality Content by WIKIPEDIA articles! In graph-theoretic mathematics, 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 mathbb{Z}2 (for defining the bipartite double cover of a graph), free groups (for defining the universal cover of a graph), d-dimensional integer lattices mathbb{Z}^d (viewed as a group under vector addition, for defining periodic structures in d-dimensional Euclidean space), and finite cyclic groups mathbb{Z}{n} for n 2. When is a cyclic group, the voltage graph may be called a cyclic-voltage graph.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131053153
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131053153
    • Format Fachbuch
    • Titel Voltage Graph
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 116
    • Genre Mathematik

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