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References
A. Ádám, Research Problem 2–10. J. Combin. Theory2, 393 (1967).
B. Alspach, Point-Symmetric Graphs and Digraphs of Prime Order and Transitive Permutation Groups of Prime Degree. J. Combin. Theory Ser. B15, 12–17 (1973).
B. Alspach andT. D. Parsons, Isomorphisms of Circulant Graphs and Digraphs. Discrete Math.25, 97–108 (1979).
L. Babai, Isomorphism Problem for a Class of Point-Symmetric Structure. Acta. Math. Acad. Sci. Hungar29, 329–336 (1977).
J. L. Berggren, An Algebraic Characterization of Symmetric Graphs with a Prime Number of Vertices. Bull. Austral. Math. Soc.7, 131–134 (1972).
C. Y. Chao, On Groups and Graphs. Trans. Amer. Math. Soc.118, 488–497 (1965).
C. Y. Chao, On the Classification of Symmetric Graphs with a Prime Number of Vertices. Trans. Amer. Math. Soc.158, 247–256 (1971).
C. Y. Chao, Generalizations of Theorems of Wilson, Fermat and Euler. J.Number Theory15, 95–114 (1982).
C. Y. Chao, On Pólya-de Bruijn's Theorem. Congressus Numerantium60, 71–80 (1987).
C. Y. Chao andJ. G. Wells, A Class of Vertex-Transitive Digraphs. J.Combin. Theory14, 246–255 (1973).
C. Y. Chao andJ. G. Wells, A Class of Vertex-Transitive Digraph II. J.Combin. Theory32, 336–346 (1982).
P. J.Davis, Circulant Matrices. New York-Chichester-Brisbane-Toronto 1979.
N. G.De Bruijn, Pólya's Theory of Counting. In: Applied Combinatorial Mathematics (E. F. Beckenbach, Ed.) Chapter 5, 144–184, New York-London-Sidney 1964.
D. Z. Djokovic, Isomorphism Problem for a Special Class of Graphs. Acta Math. Acad. Sci. Hung.21, 267–270 (1970).
U.Dudley, Elementary Number Theory. San Francisco 1969.
B. Elspas andJ. Turner, Graphs with Circulant Adjacency Matrices. J. Combin. Theory9, 297–307 (1970).
M.Hall, Jr., The Theory of Groups. New York 1959.
F.Harary and E.Palmer, Graphical Enumeration. New York-London 1973.
G. Pólya, Kombinatorische Anzahlbestimmungen für Gruppen, Graphen and Chemische Verbindungen. Acta Math.68, 145–254 (1937).
S. Toida, A Note on Adam's Conjecture. J. Combin. Theory B23, 239–246 (1977).
J. Turner, Point-Symmetric Graphs with a Prime Number of Points. J.Combin.Theory3, 136–145 (1967).
B. L.van der Waerden, Modern Algebra. Vol. 1. New York 1953.
H.Wielandt, Finite Permutation Groups. New York 1964.
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Chao, C.Y. On digraphs with circulant adjacency matrices. Arch. Math 54, 93–104 (1990). https://doi.org/10.1007/BF01190673
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DOI: https://doi.org/10.1007/BF01190673