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math.CO2015
The List Distinguishing Number Equals the Distinguishing Number for Interval Graphs
Poppy Immel, Paul S. Wenger
A \textit{distinguishing coloring} of a graph is a coloring of the vertices so that every nontrivial automorphism of maps some vertex to a vertex with a different color. Th…
math.CO2015
Uniquely cycle-saturated graphs
Paul S. Wenger, Douglas B. West
Given a graph , a graph is {\it uniquely -saturated} if is not a subgraph of and adding any edge of the complement to completes exactly one copy of . In th…
math.CO2015
Planar digraphs without large acyclic sets
Kolja Knauer, Petru Valicov, Paul S. Wenger
Given a directed graph, an acyclic set is a set of vertices inducing a subgraph with no directed cycle. In this note we show that there exist oriented planar graphs of order fo…