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The transitive graphs with at most 26 vertices. (English) Zbl 0805.05037
Summary: We complete the construction of all the simple graphs with at most 26 vertices and transitive automorphism group. The transitive graphs with up to 19 vertices were earlier constructed by McKay, and the transitive graphs with 24 vertices by Praeger and Royle. Although most of the construction was done by computer, a substantial preparation was necessary. Some of this theory may be on independent interest.

MSC:
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
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