Geodesic
Self-Avoiding Walks in the Plane
Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 152-157.

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We examine the number of self-avoiding walks with a fixed length on the square grid graph and more specifically we complete the analysis of the lattice strip of height one. By combinatorial arguments we get an exact formula for the number of self-avoiding walks on a restricted to the left and to the right lattice strip. We investigate the formula asymptotically as well. *2010 Mathematics Subject Classification: Primary: 52A40.
Keywords: Self-Avoiding Walks 
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Dangovski, Rumen; Petrova, Kalina. Self-Avoiding Walks in the Plane. Mathematics and Education in Mathematics, Tome 41 (2012) no. 1, pp. 152-157. http://geodesic.mathdoc.fr/item/MEM_2012_41_1_a12/