AlgorithmsColored graphsExact exponential algorithmsGraphsThe input of the Tropical Connected Set problem is a vertex-colored graph (G,c) ( G , c ) mathContainer Loading Mathjax , where G=(V,E) G = ( V , E ) mathContainer Loading Mathjax is a graph and c is a vertex coloring ...
Exact exponential algorithms and parameterized complexity指数算法和参数复杂性(Introduction to Algorithms, 算法导论,程序员大本营,技术文章内容聚合第一站。
This motivates the study of exact exponential algorithms to solve Tropical Connected Set. We present an O^∗(1.5359n) time algorithm for general graphs and an O^∗(1.2721n) time algorithm for trees.doi:10.1007/978-3-319-13524-3_13Mathieu Chapelle...
Preliminary review / Publisher's description: Today most computer scientists believe that NP-hard problems cannot be solved by polynomial-time algorithms. From the polynomial-time perspective, all NP-complete problems are equivalent but their exponential-time properties vary widely. Why do some NP-hard...
This idea was first introduced by Grandoni in [12] and is the basis of most exact exponential time algorithms for Dominating Set (all except the first two in Table 1). Given a set cover instance (S,U), let |S| be the size or cardinality of a set S∈S. Further, let S(e)={S...
calalgorithms,atleastformoderateinstancesizes. For small instances, an algorithm with an exponential time complexity of O(1.01 n ) should usually run much faster than an algorithm with a polynomial time complexity of O(n 4 ). In this article we survey known results and approaches to the worst...
We present exact algorithms with exponential running times for variants of n-element set cover problems, based on divide-and-conquer and on inclusion–exclusion characterizations. We show that the Exact Satisfiability problem of size l with m clauses can be solved in time 2m l O(1) and poly...
All the known exact algorithms for PMS take exponential time in some of the underlying parameters in the worst case scenario. But it does not mean that we cannot design exact algorithms for solving practical instances within a reasonable amount of time. In this paper, we propose a fast ...
into functions that reproduce exponentials and can therefore be used to sample FRI signals. 3. RECONSTRUCTION OF 1-D FRI SIGNALS In this section, we assume that the sampling kernel is of compact support L, that is, ϕ(t) = 0 for t ∈ [−L/2, L/2] where L is an integer for...
Then, the algorithms in [9, 4] are special cases of our sparse for- mulation. In other words, we can generate the same principal vectors as given by [9, 4] without removing the sparsity constraint. In the rest of this section, we will develop the SEPGA algorithm. Using the above ...