Dimer-monomer model on the generalized Tower of Hanoi graph

Wei-Bang Li, Shu-Chiuan Chang

We study the number of dimer-monomers $M_d(n)$ on the Tower of Hanoi graphs $T{H}_d(n)$ at stage $n$ with dimension $d$ equal to 3 and 4. The entropy per site is defined as $z_{TH_d}…