ISSN:
1432-2234
Schlagwort(e):
Kekulé structure enumeration
;
Dimer covering enumeration
;
1-Factor enumeration
;
Benzenoid π-network polymers
;
Long-range order
;
Bond localization
;
Edge reactivity
;
Graph theory
;
Transfer matrices
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Chemie und Pharmazie
Notizen:
Abstract The problem of covering every site of a subsection of the honeycomb lattice with disjoint edges is considered. It is pointed out that a type of long-range order associated to such coverings can occur, so that different phases can arise as a consequence of the subsection's boundaries. These features are quantitatively investigated via a new analytic solution for a class of strips of arbitrary widths, arbitrary lengths, and arbitrary long-range-order values. Relations to work on the dimer covering problem of statistical mechanics and especially to the resonance theory of benzenoid hydrocarbons are noted.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00526700
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