Learn More
In the online Steiner tree problem, a sequence of points is revealed one-by-one: when a point arrives, we only have time to add a single edge connecting this point to the previous ones, and we want to minimize the total length of edges added. Here, a tight bound has been known for two decades: the greedy algorithm maintains a tree whose cost is O(log n)(More)
We examine the Sprague-Grundy values of the game of R-Wythoff, a restriction of Wythoff's game introduced by Ho, where each move is either to remove a positive number of tokens from the larger pile or to remove the same number of tokens from both piles. Ho showed that the P-positions of R-Wythoff agree with those of Wythoff's game, and found all positions(More)
Matrix-vector multiplication is one of the most fundamental computing primitives. Given a matrix A ∈ F N×N and a vector b ∈ F N , it is known that in the worst case Θ(N 2) operations over F are needed to compute Ab. Many types of structured matrices do admit faster multiplication. However, even given a matrix A that is known to have this property, it is(More)
  • 1