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Showing 2006 · math.COShow all
2 papers · 2 filters
math.CO2006
The minimum rank problem over the finite field of order 2: minimum rank 3
Wayne Barrett, Jason Grout, Raphael Loewy
Our main result is a sharp bound for the number of vertices in a minimal forbidden subgraph for the graphs having minimum rank at most 3 over the finite field of order 2. We also l…
math.CO2006
Restricted Dumont permutations, Dyck paths, and noncrossing partitions
Alexander Burstein, Sergi Elizalde, Toufik Mansour
We complete the enumeration of Dumont permutations of the second kind avoiding a pattern of length 4 which is itself a Dumont permutation of the second kind. We also consider some…