INTERACTING DIMERS ON A SIERPINSKI GASKET Academic Article

abstract

• The different manners of embedding subgraphs of many disjoint edges in a parent graph arise in several different chemical and physical contexts. The problem of enumeration, or more generally of weighted summation, of such embeddings seems quite difficult to great quantitatively, at least for general extended graphs. The special extended parent graph treated here with the inclusion of interaction between dimers is that of a Sierpinski gasket with a fractal dimension of ln 3/ln 2. The manners of solution should extend to other fractal graphs with low 'ramification degree'. 1988.

authors

• Klein, Douglas

published proceedings

• DISCRETE APPLIED MATHEMATICS

author list (cited authors)

• SEITZ, W. A., KLEIN, D. J., & HITE, G. E.

citation count

• 5

complete list of authors

• SEITZ, WA||KLEIN, DJ||HITE, GE

publication date

• March 1988

publisher

• Elsevier  Publisher

published in

• DISCRETE APPLIED MATHEMATICS  Journal

keywords

• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1016/0166-218X(88)90023-6

start page

• 339

end page

• 348

volume

• 19

issue

• 1-3

URL

• http://dx.doi.org/10.1016/0166-218x(88)90023-6