# On self-avoiding walks on certain grids and the connective constant

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 4, page 615-632
- ISSN: 1310-6600

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topDangovski, Rumen. "On self-avoiding walks on certain grids and the connective constant." Serdica Mathematical Journal 38.4 (2012): 615-632. <http://eudml.org/doc/288253>.

@article{Dangovski2012,

abstract = {2010 Mathematics Subject Classification: Primary: 05C81. Secondary: 60G50.We consider self-avoiding walks on the square grid graph. More precisely we investigate the number of walks of a fixed length on Z×\{-1,0,1\}. Using combinatorial arguments we derive the related generating function. We present the asymptotic estimates of the number of walks in consideration, as well as important connective constants.},

author = {Dangovski, Rumen},

journal = {Serdica Mathematical Journal},

keywords = {Self-Avoiding Walks},

language = {eng},

number = {4},

pages = {615-632},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On self-avoiding walks on certain grids and the connective constant},

url = {http://eudml.org/doc/288253},

volume = {38},

year = {2012},

}

TY - JOUR

AU - Dangovski, Rumen

TI - On self-avoiding walks on certain grids and the connective constant

JO - Serdica Mathematical Journal

PY - 2012

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 38

IS - 4

SP - 615

EP - 632

AB - 2010 Mathematics Subject Classification: Primary: 05C81. Secondary: 60G50.We consider self-avoiding walks on the square grid graph. More precisely we investigate the number of walks of a fixed length on Z×{-1,0,1}. Using combinatorial arguments we derive the related generating function. We present the asymptotic estimates of the number of walks in consideration, as well as important connective constants.

LA - eng

KW - Self-Avoiding Walks

UR - http://eudml.org/doc/288253

ER -

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