Abstract
Studies the problem of directed site animals on the square, triangular and hexagonal lattices. Closed form expressions are proposed for A(s), the number of animals of size s, on the square and triangular lattices. These expressions have been checked for s<or=33 and s<or=10 for the square and triangular lattices respectively by explicit enumeration. They imply that A(s) varies as lambda 2 s-0 for large s, where lambda =3 for the square lattice, and lambda =4 for the triangular, and theta =1/2 for both. For the hexagonal lattice, A(s) is found for s<or=48. The results are consistent with lambda =2.0252+or-0.0005 and theta =1/2.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
