"The" Y-graph is another term used to refer to a claw graph.
The term "Y-graph" is also used to refer to a graph expansion with the Y graph as its base (e.g., Horton and Bouwer 1991). There are exactly four graph expansions with Y-graph base that are symmetric (Biggs 1993, p. 147).
 | graph | expansion  |
| 28 | Coxeter graph | (7; 1, 2, 4) |
| 56 | cubic
symmetric graph  | (14; 1, 3, 5) |
| 112 | cubic symmetric graph  | (28; 1, 3, 9) |
| 224 | cubic
symmetric graph  | (56; 1, 9, 25) |
