Transpose graph

A graph and its transpose

In the mathematical and algorithmic study of graph theory, the converse,[1] transpose[2] or reverse[3] of a directed graph G is another directed graph on the same set of vertices with all of the edges reversed compared to the orientation of the corresponding edges in G. That is, if G contains an edge (u, v) then the converse/transpose/reverse of G contains an edge (v, u) and vice versa.

  1. ^ Harary, Frank; Norman, Robert Z.; Cartwright, Dorwin (1965), Structural Models: An Introduction to the Theory of Directed Graphs, New York: Wiley
  2. ^ Cormen, Thomas H.; Leiserson, Charles E.; Rivest, Ronald L. Introduction to Algorithms. MIT Press and McGraw-Hill., ex. 22.1–3, p. 530.
  3. ^ Essam, John W.; Fisher, Michael E. (1970), "Some basic definitions in graph theory", Reviews of Modern Physics, 42 (2): 275, Bibcode:1970RvMP...42..271E, doi:10.1103/RevModPhys.42.271, entry 2.24

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