Barrus, M. D.; Trenk, A. N.; and Whitman, R. "The Hereditary Closure of the Unigraphs." 23 Aug 2023. https://arxiv.org/abs/2308.12190Johnson, R. H. "Simple Separable Graphs." Pacific J. Math.56, 143-158, 1975.Kleitman, D. J. and Li, S.-Y. "A Note on Unigraphic Sequences." Stud. Appl. Math.54, 283-287, 1975.Koren, M. "Pairs of Sequences with a Unique Realization by Bipartite Graphs." J. Combin. Th. Ser. B21, 224-234, 1976.Koren, M. "Sequences with a Unique Realization by Simple Graphs." J. Combin. Th. Ser. B21, 235-244, 1976.Li, S.-Y. R. "Graphic Sequences with Unique Realizations." J. Combin. Th. Ser. B19, 42-68, 1975.Sloane, N. J. A. Sequences A122423, A309757, and A365548 in "The On-Line Encyclopedia of Integer Sequences."Tyshkevich, R. "The Canonical Decomposition of a Graph." Dokl. Akad. Nauk. BSSR24, 677-679, 1980.Tyshkevich, R. "Decomposition of Graphical Sequences and Unigraphs." Disc. Math.220, 201-238, 2000.
, 2, ... 的单图图的数量是 1, 2, 4, 11, 28, 72, 170, 407, 956, 2252 ... (OEIS A122423)，其中连通图的数量是 1, 1, 2, 6, 16, 42, 96, 234, 546, 1292, ... (OEIS A365548)。在所有节点数为 
的连通图中，具有不同度序列的连通图的数量，对于 
, 2, ... 是 1, 1, 1, 2, 6, 17, 45, 99, 238, 549, 1296, ... (OEIS A309757)。
和 
，它们共享度序列 
。
是单图图，则其图补图 
也是单图图 (Barrus et al. 2023)。
是单图图 当且仅当 其 Tyshkevich 分解的每个分量都是单图图 (Tyshkevich 2000, Barrus et al. 2023)。
、空图 
、梯子阶图 
、鸡尾酒会图 
和圈图 
(Johnson 1975, Koren 1976, Tyshkevich 2000)。