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The number of convex polygons on the square and honeycomb lattices
| Content Provider | Scilit |
|---|---|
| Author | Guttmann, Anthony Enting, I. G. |
| Copyright Year | 1988 |
| Description | Journal: Journal of Physics A: General Physics A subset of the set of self-avoiding polygons (SAP) embeddable on the square lattice which display the property of convexity is defined. An algorithm for their enumeration is developed, and from the available series coefficients the exact generating function is found. The singularity structure appears similar to that of the unsolved SAP problem, but with different critical exponents and critical points. The enumeration of convex polygons allows the extension of the existing series for the square lattice SAP by one term. For the honeycomb lattice similar results have been obtained, despite a less natural definition of convexity. |
| Related Links | http://iopscience.iop.org/article/10.1088/0305-4470/21/8/007/pdf |
| Ending Page | L474 |
| Page Count | 8 |
| Starting Page | L467 |
| ISSN | 00223689 |
| DOI | 10.1088/0305-4470/21/8/007 |
| Journal | Journal of Physics A: General Physics |
| Issue Number | 8 |
| Volume Number | 21 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1988-04-21 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Physics A: General Physics Applied Mathematics Convex Polygons Critical Points Honeycomb Lattice Square Lattice |
| Content Type | Text |
| Resource Type | Article |
