Justin Hilyard

most citedThe independent set sequence of some families of trees

8 citations · 8 across the 1 of their papers we have counts for

collaborators

2 papers

math.CO2017★ 8 cited

The independent set sequence of some families of trees

David Galvin, Justin Hilyard

For a tree $T$ , let $i_{T} (t)$ be the number of independent sets of size $t$ in $T$ . It is an open question, raised by Alavi, Malde, Schwenk and Erdős, whether the sequence $(i_T(t))…

math.CO2013

Combinatorially interpreting generalized Stirling numbers

John Engbers, David Galvin, Justin Hilyard

Let $w$ be a word in alphabet ${x, D}$ with $m$ $x$ 's and $n$ $D$ 's. Interpreting " $x$ " as multiplication by $x$ , and " $D$ " as differentiation with respect to $x$ , the identity $w…