Graphs & digraphs (2nd ed.)
Diagraphs admitting sharply edge-transitive automorphism groups
European Journal of Combinatorics
Julius Petersen 1839–1910 a biography
Discrete Mathematics - Special volume (part 1) to mark the centennial of Julius Petersen's “Die theorie der regula¨ren graphs”
Automorphism groups, isomorphism, reconstruction
Handbook of combinatorics (vol. 2)
Construction of k-arc transitive digraphs
Discrete Mathematics - Special issue on the 17th british combinatorial conference selected papers
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For a given a permutation group G, the problem of determining which regular digraphs admit G as an arc-regular group of automorphism is considered. Groups which admit such a representation can be characterized in terms of generating sets satisfying certain properties, and a procedure to manufacture such groups is presented. The technique is based on constructing appropriate factorizations of (smaller) regular line digraphs by means of Latin squares. Using this approach, all possible representations of transitive groups of degree up to seven as arc-regular groups of digraphs of some degree is presented.