Abstract
We study self-avoiding and neighbour-avoiding walks and lattice trails on two semiregular lattices, the (3.122) lattice and the (4.82) lattice. For the (3.122) lattice we find the exact connective constant for both self-avoiding walks, neighbour-avoiding walks and trails. For the (4.82) lattice we generate long series which permit the accurate estimation of the connective constant for self-avoiding walks and trails.
| Original language | English |
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| Pages (from-to) | 8137-8145 |
| Number of pages | 9 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 31 |
| Issue number | 40 |
| DOIs | |
| Publication status | Published - 9 Oct 1998 |
| Externally published | Yes |