Topological Graph Theory

Topological graph theory is the study of graphs in relation to topological spaces, especially embeddings of graphs on surfaces. It includes topics such as graph embeddings, cellular embeddings, graph genus, rotation systems, graph covers, and voltage graphs (White and Beineke 1978, Gross and Tucker 1987, Mohar and Thomassen 2001).

See also

Cellular Embedding, Graph Cover, Graph Embedding, Graph Genus, Rotation System, Surface, Topological Graph, Voltage Graph

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References

Gross, J. L. and Tucker, T. W. Topological Graph Theory. New York: Wiley, 1987.Mohar, B. and Thomassen, C. Graphs on Surfaces. Baltimore, MD: Johns Hopkins University Press, 2001.White, A. T. and Beineke, L. W. "Topological Graph Theory." In Selected Topics in Graph Theory (Ed. L. W. Beineke and R. J. Wilson). New York: Academic Press, pp. 15-49, 1978.

Cite this as:

Weisstein, Eric W. "Topological Graph Theory." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TopologicalGraphTheory.html

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