... relation DU + U D = rI. Thus quantized dual graded graphs
specialize to usual dual g r aded graphs at q = 1, and t o signed differential posets (or their
dual graded graph equivalent) at q = −1.
The ... of differential posets, which includes quantized dual graded graphs as a
special case.
2 Quantized dual graded graphs
Let Γ = (V, E, m, h) be a graded graph with edge weights...
... labeled graphs
in C where equivalence is given by some action from Γ. Our perspective
is essentially dual. We take a particular labeled graph chosen so that it
generates a large set of equivalents.
... of sextet graphs satisfies
c(S) ≤ 0.75, and here too an improvement may be possible. Many individual sextet
graphs satisfy c(S(p)) < 0.75, and the family provides some of the current-best
examples. ... Conference) Annals of the New York
Academy of Sciences 555 (1989) 56–62.
8. N. L. Biggs, Girth and residual finiteness. Combinatorica 8 (1988) 307–312.
9. N. L. Biggs and A. G. Boshier, Note o...