3 problems

The SOP connective-constant conjecture
Let $w_{2n}$ be the number of self-overlapping polygons of length $2n$ in the SOP model, counted with multiplicity factor $\mu_\gamma$ . SOP connective-constant conjecture. The limi…
openconnective-constants quantum-gravity random-polygons
0 responses
05
Conjecture on the connective constant of universal covers of punctured hexagonal lattices
Universal-cover connective-constant conjecture. There exists $k\in\mathbb N\cup\{0\}$ for which
openconnective-constants hexagonal-lattice self-avoiding-walks
0 responses
08
Continuity of the connective constant under local convergence
Continuity conjecture. The connective constant is continuous with respect to local convergence:
openconnective-constants graph-theory self-avoiding-walks
0 responses
04

The SOP connective-constant conjecture