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cs.DM2007
Finding the growth rate of a regular language in polynomial time
Dalia Krieger, Narad Rampersad, Jeffrey Shallit
We give an O(n^3+n^2 t) time algorithm to determine whether an NFA with n states and t transitions accepts a language of polynomial or exponential growth. We also show that given a…
math.CO2007
Hamming Distance for Conjugates
Jeffrey Shallit
Let x, y be strings of equal length. The Hamming distance h(x,y) between x and y is the number of positions in which x and y differ. If x is a cyclic shift of y, we say x and y are…
cs.DM2007
The Frobenius Problem in a Free Monoid
Jui-Yi Kao, Jeffrey Shallit, Zhi Xu
The classical Frobenius problem is to compute the largest number g not representable as a non-negative integer linear combination of non-negative integers x_1, x_2, ..., x_k, where…