Topological graph theory studies graphs in relation to topological spaces, especially graph embeddings in surfaces. In these embeddings, edges are arcs whose only intersections are common endpoints, whereas a graph drawing may also contain crossings. Topics in topological graph theory include 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).
Topological Graph Theory
See also
Cellular Embedding, Graph Cover, Graph Embedding, Graph Genus, Rotation System, Surface, Topological Graph, Voltage GraphExplore with Wolfram|Alpha
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