Series Expansions for Self-Avoiding Walks

• Self-Avoiding Walks on the square lattice:

  Number of SAW

  End-to-end distance

  Radius of gyration

  Monomer distance

  Walks crossing a square, spanning walks and cow pathches:

  Crossing walks

  Spanning walks

  Cow pathces

  Crossing walks with fugacity (tarred and gzipped)

  Crossing walks hitting the center

  Crossing Hamiltonian walks

  Spanning Hamiltonian walks

  Hamiltonian cow patches

• Self-Avoiding Walks on the triangular lattice:

  Number of SAW

  End-to-end distance

  Radius of gyration

  Monomer distance

• Irreducible bridges of finite span:

  Square

  Hexagonal

  Triangular

  Kagome

  (4.8)