In the mathematical field of graph theory, the Balaban 10-cage or Balaban (3,10)-cage is a 3-regular graph with 70 vertices and 105 edges named after Alexandru T.

[1] Published in 1972,[2] It was the first 10-cage discovered but it is not unique.

[3] The complete list of 10-cages and the proof of minimality was given by Mary R. O'Keefe and Pak Ken Wong.

The Balaban 10-cage has chromatic number 2, chromatic index 3, diameter 6, girth 10 and is hamiltonian.

The book thickness is 3 and the queue number is 2.