Coordination Sequences and Critical Points

Abstract

Coordination sequences of periodic and quasiperiodic graphs are analysed. These count the number of points that can be reached from a given point of the graph by a number of steps along its bonds, thus generalising the familiar coordination number which is just the first member of this series. A possible application to the theory of critical phenomena in lattice models is outlined.

4 pages, 1 PostScript figure, uses sprocl.sty (included), reference updated

Cited by in corpus (4)

• Combinatorial problems of (quasi-)crystallography
• Planar quasiperiodic Ising models
• Finite-lattice expansion for Ising models on quasiperiodic tilings
• Averaged shelling for quasicrystals