279 citations
- Kent State UniversityUS17 papers
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math.CO2015★ 8 cited
The minimum rank problem for circulants
Louis Deaett, Seth A. Meyer
The minimum rank problem is to determine for a graph the smallest rank of a Hermitian (or real symmetric) matrix whose off-diagonal zero-nonzero pattern is that of the adjacenc…
math.CO2012
Matchings and Independent Sets of a Fixed Size in Regular Graphs
Teena Carroll, David Galvin, Prasad Tetali
We use an entropy based method to study two graph maximization problems. We upper bound the number of matchings of fixed size in a -regular graph on vertices. For $\f…