49 citations · 78 across the 41 of their papers we have counts for
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math.CO2016
Brushing Number and Zero-Forcing Number of Graphs and their Line Graphs
Aras Erzurumluoglu, David Pike, Karen Meagher
In this paper we compare the brushing number of a graph with the zero-forcing number of its line graph. We prove that the zero-forcing number of the line graph is an upper bound fo…
math.CO2016
Infection in Hypergraphs
Ryan Bergen, Shaun Fallat, Adam Gorr +5
In this paper a new parameter for hypergraphs called hypergraph infection is defined. This concept generalizes zero forcing in graphs to hypergraphs. The exact value of the infecti…
math.CO2016
Manickam-Miklós-Singhi Conjectures on Partial Geometries
Ferdinand Ihringer, Karen Meagher
In this paper we give a proof of the Manickam-Miklós-Singhi (MMS) conjecture for some partial geometries. Specifically, we give a condition on partial geometries which implies that…