Categories
  • Topology
  • Graph theory objects
  •   Encyclosphere.org ENCYCLOREADER
      supported by EncyclosphereKSF

    Map (graph theory)

    From Handwiki - Reading time: 1 min

    A map with twelve pentagonal faces

    In topology and graph theory, a map is a subdivision of a surface such as the Euclidean plane into interior-disjoint regions, formed by embedding a graph onto the surface and forming connected components (faces) of the complement of the graph. That is, it is a tessellation of the surface. A map graph is a graph derived from a map by creating a vertex for each face and an edge for each pair of faces that meet at a vertex or edge of the embedded graph.[1]

    References

    1. Gross, Jonathan; Yellen, Jay (1998), Graph Theory and its applications, CRC Press, p. 294, ISBN 0-8493-3982-0 




    This article is licensed under CC BY-SA 3.0.
    Original source: https://handwiki.org/wiki/Map (graph theory)
    Status: article is cached
    Encyclosphere.org EncycloReader is supported by the EncyclosphereKSF