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math.CO2015★ 1 cited
The Negative Cycle Vectors of Signed Complete Graphs
Alex Schaefer
A signed graph is a graph where the edges are assigned labels of either "" or "". The sign of a cycle in the graph is the product of the signs of its edges. We equip each sig…
math.CO2015
Strongly connectable digraphs and non-transitive dice
Simon Joyce, Alex Schaefer, Douglas B. West +1
We give a new proof of the theorem of Boesch-Tindell and Farzad-Mahdian-Mahmoodian-Saberi-Sadri that a directed graph extends to a strongly connected digraph on the same vertex set…