頂點傳遞圖，有時也稱為節點對稱圖 (Chiang and Chen 1995)，是一個圖，其任意一對頂點在它的自同構群的某個元素下是等價的。更明確地說，頂點傳遞圖是其自同構群是傳遞的圖 (Holton and Sheehan 1993, p. 27)。通俗地說，如果每個頂點的區域性環境相同，使得任何頂點都無法根據其周圍的頂點和邊與其他頂點區分開來，則該圖是頂點傳遞的。
Bermond, J.-C. "Hamiltonian Graphs." Ch. 6 in Selected Topics in Graph Theory (Ed. L. W. Beineke and R. J. Wilson). London: Academic Press, pp. 127-167, 1979.Chiang, W.-K. and Chen, R.-J. "The -Star Graph: A Generalized Star Graph." Information Proc. Lett.56, 259-264, 1995.Colbourn, C. J. and Dinitz, J. H. (Eds.). CRC Handbook of Combinatorial Designs. Boca Raton, FL: CRC Press, p. 649, 1996.Godsil, C. and Royle, G. "Hamilton Paths and Cycles." C§3.6 in Algebraic Graph Theory. New York: Springer-Verlag, pp. 45-47, 2001.Gould, R. J. "Updating the Hamiltonian Problem--A Survey." J. Graph Th.15, 121-157, 1991.Holton, D. A. and Sheehan, J. The Petersen Graph. Cambridge, England: Cambridge University Press, 1993.Lauri, J. and Scapellato, R. Topics in Graph Automorphisms and Reconstruction. Cambridge, England: Cambridge University Press, 2003.Lovász, L. Problem 11 in "Combinatorial Structures and Their Applications." In Proc. Calgary Internat. Conf. Calgary, Alberta, 1969. London: Gordon and Breach, pp. 243-246, 1970.McKay, B. D. and Praeger, C. E. "Vertex-Transitive Graphs Which Are Not Cayley Graphs. I." J. Austral. Math. Soc. Ser. A56, 53-63, 1994.McKay, B. D. and Royle, G. F. "The Transitive Graphs with at Most 26 Vertices." Ars Combin.30, 161-176, 1990.Mütze, T. "On Hamilton Cycles in Graphs Defined by Intersecting Set Systems." Not. Amer. Soc.74, 583-592, 2024.Royle, G. "Cubic Symmetric Graphs (The Foster Census): Hamiltonian Cycles." http://school.maths.uwa.edu.au/~gordon/remote/foster/#hamilton.Royle, G. "Transitive Graphs." http://school.maths.uwa.edu.au/~gordon/trans/.Sloane, N. J. A. Sequences A006799/M0302 and A006800/M0345 in "The On-Line Encyclopedia of Integer Sequences."Skiena, S. Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, 1990.
，彼得森圖 
，考克斯特圖 
，三角形替換彼得森圖，以及三角形替換考克斯特圖。正如 Gould (1991) 引用 Bermond (1979) 所述，Thomassen 猜想所有其他連通頂點傳遞圖都是哈密頓圖 (cf. Godsil and Royle 2001, p. 45; Mütze 2024)。
, 2, ... 個節點的頂點傳遞簡單圖的數量為 1, 2, 2, 4, 3, 8, 4, 14, 9, ... (OEIS A006799; McKay 1990; Colbourn and Dinitz 1996)。
, 2, ...，具有 
個節點的連通頂點傳遞簡單圖的數量為 1, 1, 1, 2, 2, 5, 3, 10, 7, ... (OEIS A006800; McKay and Royle 1990)。
-Star Graph: A Generalized Star Graph." Information Proc. Lett. 56, 259-264, 1995.Colbourn, C. J. and Dinitz, J. H. (Eds.).