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115
Voted
EJC
2016
10 years 1 months ago
On permutations with bounded drop size
The maximum drop size of a permutation π of [n] = {1, 2, . . . , n} is defined to be the maximum value of i − π(i). Chung, Claesson, Dukes and Graham found polynomials Pk(x) ...
Joanna N. Chen, William Y. C. Chen
125
Voted
EJC
2016
10 years 1 months ago
Abelian bordered factors and periodicity
A finite word is u is said to be bordered if u has a proper prefix which is also a suffix of u, and unbordered otherwise. Ehrenfeucht and Silberger proved that an infinite word...
Émilie Charlier, Tero Harju, Svetlana Puzyn...
EJC
2016
10 years 1 months ago
The descent set polynomial revisited
We continue to explore cyclotomic factors in the descent set polynomial Qn(t), which was introduced by Chebikin, Ehrenborg, Pylyavskyy and Readdy. We obtain large classes of facto...
Richard Ehrenborg, N. Bradley Fox
EJC
2016
10 years 1 months ago
Positive graphs
We study “positive” graphs that have a nonnegative homomorphism number into every edge-weighted graph (where the edgeweights may be negative). We conjecture that all positive ...
Omar Antolín Camarena, Endre Csóka, ...
EJC
2016
10 years 1 months ago
A new line of attack on the dichotomy conjecture
The well known dichotomy conjecture of Feder and Vardi states that for every family Γ of constraints CSP(Γ) is either polynomially solvable or NP-hard. Bulatov and Jeavons reform...
Gábor Kun, Mario Szegedy