An almost linear time algorithm for field splitting in radiation therapy

Optimal Linear Time Algorithm for Intensity Map Splitting with Feathering in Radiation Therapy

An (almost) Linear Time Algorithm For Odd Cycles Transversal∗

We consider the following problem, which is called the odd cycles transversal problem. Input: A graph G and an integer k. Output : A vertex set X ∈ V (G) with |X| ≤ k such that G−X is bipartite. We present an O(mα(m, n)) time algorithm for this problem for any fixed k, where n, m are the number of vertices and the number of edges, respectively, and the function α(m, n) is the inverse of the Ack...

An almost-linear time and linear space algorithm for the longest common subsequence problem

There are two general approaches to the longest common subsequence problem. The dynamic programming approach takes quadratic time but linear space, while the non-dynamic-programming approach takes less time but more space. We propose a new implementation of the latter approach which seems to get the best for both time and space for the

An Almost-Linear-Time Algorithm for Approximate Max Flow in Undirected Graphs, and its Multicommodity Generalizations

In this paper, we introduce a new framework for approximately solving flow problems in capacitated, undirected graphs and apply it to provide asymptotically faster algorithms for the maximum s-t flow and maximum concurrent multicommodity flow problems. For graphs with n vertices and m edges, it allows us to find an ε-approximate maximum s-t flow in time O(m1+o(1)ε−2), improving on the previous ...

AN ALGORITHM FOR FINDING THE STABILITY OF LINEAR TIME-INVARIANT SYSTEMS

The purpose of this paper is to show that the ideas and techniques of the classical methods of finding stability, such as the criteria of Leonhard and Nyquist, can be used to derive simple algorithm to verify stability. This is enhanced by evaluating the argument of the characteristic equation of a linear system in the neighbourhood of the origin of the complex plane along the imaginary axis