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62
Voted
DM
2016
44views more  DM 2016»
10 years 1 months ago
Set partition patterns and statistics
A set partition σ of [n] = {1, . . . , n} contains another set partition π if restricting σ to some S ⊆ [n] and then standardizing the result gives π. Otherwise we say σ av...
Samantha Dahlberg, Robert Dorward, Jonathan Gerhar...
70
Voted
DM
2016
54views more  DM 2016»
10 years 1 months ago
Intersecting faces of a simplicial complex via algebraic shifting
A family A of sets is t-intersecting if the size of the intersection of every pair of sets in A is at least t, and it is an r-family if every set in A has size r. A wellknown theor...
S. A. Seyed Fakhari
68
Voted
DM
2016
50views more  DM 2016»
10 years 1 months ago
A generalization of weight polynomials to matroids
Trygve Johnsen, Jan Roksvold, Hugues Verdure
71
Voted
DM
2016
42views more  DM 2016»
10 years 1 months ago
A surprisingly simple de Bruijn sequence construction
Joe Sawada, Aaron Williams, Dennis Wong
69
Voted
DM
2016
50views more  DM 2016»
10 years 1 months ago
Convexity in partial cubes: The hull number
Abstract. We prove that the combinatorial optimization problem of determining the hull number of a partial cube is NP-complete. This makes partial cubes the minimal graph class for...
Marie Albenque, Kolja Knauer