4 citations · 4 across the 1 of their papers we have counts for
3 papers
math.CO2020
Graphs with few trivial characteristic ideals
Carlos A. Alfaro, Michael D. Barrus, John Sinkovic +1
We give a characterization of the graphs with at most three trivial characteristic ideals. This implies the complete characterization of the regular graphs whose critical groups ha…
math.CO2016
Minimal obstructions for tree-depth: A non-1-unique example
Michael D. Barrus, John Sinkovic
A k-ranking of a graph G is a labeling of the vertices of G with values from 1,...,k such that any path joining two vertices with the same label contains a vertex having a higher l…
math.CO2015★ 4 cited
Classes of critical graphs for tree-depth
Michael D. Barrus, John Sinkovic
A k-ranking of a graph G is a labeling of the vertices of G with values from {1,...,k} such that any path joining two vertices with the same label contains a vertex having a higher…