Klavzar's research concerns graph products, metric graph theory, chemical graph theory, graph domination, and the Tower of Hanoi. Together with Wilfried Imrich and Richard Hammack he is the author of the book Handbook of Product Graphs (CRC Press, 2011). Together with Andreas M. Hinz, Uroš Milutinović, and Ciril Petr he is the author of the book The Tower of Hanoi — Myths and Maths (Springer, Basel, 2013).
Awards and honors
In 2007 Klavžar received the Zois award for exceptional contributions to science and mathematics.