2 citations · 2 across the 1 of their papers we have counts for
4 papers
On the vanishing of discrete singular cubical homology for graphs
Helene Barcelo, Curtis Greene, Abdul Salam Jarrah +1
We prove that if G is a graph without 3-cycles and 4-cycles, then the discrete cubical homology of G is trivial in dimension d, for all d\ge 2. We also construct a sequence { G_d }…
Homology groups of cubical sets with connections
Helene Barcelo, Curtis Greene, Abdul Salam Jarrah +1
Toward defining commutative cubes in all dimensions, Brown and Spencer introduced the notion of "connection" as a new kind of degeneracy. In this paper, for a cubical set with conn…
Discrete Cubical and Path Homologies of Graphs
Helene Barcelo, Curtis Greene, Abdul Salam Jarrah +1
In this paper we study and compare two homology theories for (simple and undirected) graphs. The first, which was developed by Barcelo, Caprano, and White, is based on graph maps f…
Closed form summation of C-finite sequences
Curtis Greene, Herbert S. Wilf
We consider sums of the form \[\sum_{j=0}^{n-1}F_1(a_1n+b_1j+c_1)F_2(a_2n+b_2j+c_2)... F_k(a_kn+b_kj+c_k),\] in which each is a sequence that satisfies a linear recurr…