Code
Most of these programs take a single input argument giving the size of
the gasket. In the SG_(3^k) cases, it will be k, and in all other
cases it
will be n for SGn.
- gen1energy-p-c.c computes the level
1 energy of a function on SGn.
- gen1energyt.c computes the level 1
energy on SG_3^k with twists determined by the group structure (Z3)^k.
- harmonicrelations-t-maple.c
gives the harmonic extension matrix for a 3^k-twisted gasket.
- kij-maple.c gives expressions for
computing the level 1 effective conductances from the energy expression.
- killdenoms.c gives Maple instructions
for clearing denominators from the harmonic extension matrix.
- renorm-matrix-p-c.c gives the
harmonic extension matrix for a non-twisted gasket.
- ysubs.c gives Maple instructions for
recovering yij values from a row-reduced harmonic extension matrix.
- Zngen1energyt.c gives the generation
1 graph energy for an odd gasket under an arbitrary twist homomorphism.
It is currently programmed to do the homomorphism for Zn described here.
- Zn-harmonic-maple.c gives the
harmonic extension matrix for an odd gasket under any specified twist.
The current version has the twist set to the one described here.
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