Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering a Euclidian...
We introduce the apollonian metric in Carnot groups using capacity. Extending Beardon?s result for euclidean space, we give an equivalent definition using the cross ratio in Iwasawa groups. We also sh...
The so-called 'Apollonian gasket' offers interesting suggestions on how chromatids might be packaged among microtubular bundles of the mitotic spindle. While transiting through the spindle's viscous e...
With the help of recursion relations derived from the self-similar structure, we obtain the solution of average path length, d[over ]_(t) , for Apollonian networks. In contrast to the well-known numer...
We study the percolation problem on the Apollonian network model. The Apollonian networks display many interesting properties commonly observed in real network systems, such as small-world behavior, s...