Vertex cover

Theory of Computation: Lecture 32. The main topics covered in this lesson include: NP-completeness; review of NP-completeness results; hamiltonian path problem; the diamond shape structure; the satisfying assignments; vertex vover;...

32p andromedashun 26-05-2022 6 1   Download

Lecture Design and Analysis of Algorithms - Lecture 18: Fixed-Parameter Algorithms. The following will be discussed in this chapter: Vertex cover, Fixed-Parameter Tractability, Kernelization, Connection to Approximation.

7p nanhankhuoctai3 25-05-2020 21 2   Download

Lecture Design and Analysis of Algorithms - Lecture 17: Approximation Algorithms. The following will be discussed in this chapter: approximation algorithms and schemes, partition, natural vertex cover approximation.

8p nanhankhuoctai3 25-05-2020 23 1   Download

Some algebraic properties of the ideals of Veronese bi-type arising from graphs with loops are studied. More precisely, the property of these ideals to be bi-polymatroidal is discussed. Moreover, we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.

13p danhdanh27 07-01-2019 22 1   Download

Lecture Algorithm design - Chapter 10: Limits of tractability include all of the following: Finding small vertex covers, solving NP-hard problems on trees, circular arc coverings, vertex cover in bipartite graphs.

26p youcanletgo_03 14-01-2016 34 1   Download

Chapter 11 "Approximation Algorithms" include all of the following: Load balancing, center selection, pricing method: vertex cover, LP rounding: vertex cover, generalized load balancing, knapsack problem.

62p youcanletgo_03 14-01-2016 55 4   Download

Bài giảng chương 8 trang bị cho người học những hiểu biết về thuật toán xấp xỉ. Trong chương này người học có thể tìm hiểu một số bài toán phủ đỉnh và một số vấn đề về phủ đỉnh. Mời các bạn cùng tham khảo để nắm bắt các nội dung chi tiết.

22p youcanletgo_01 04-01-2016 87 7   Download

The proof of the theorem is based on a reduction from the vertex-cover problem. The theorem shows that even in a very restricted case, the problem is intractable. Our setting is especially simple because it does not even consider non-trivial queries over the data. It is important to note that the NP-hardness is in the size of the network. This theorem should not dampen our enthusiasm regarding the data placement problem—quite the contrary.

26p yasuyidol 02-04-2013 65 4   Download

We prove the Minimum Vertex Cover problem to be NP-hard to approximate to within a factor of 1.3606, extending on previous PCP and hardness of approximation technique. To that end, one needs to develop a new proof framework, and to borrow and extend ideas from several fields. 1. Introduction The basic purpose of computational complexity theory is to classify computational problems according to the amount of resources required to solve them. In particular, the most basic task is to classify computational problems to those that are efficiently solvable and those that are not. ...

48p noel_noel 17-01-2013 59 6   Download

Let G be a graph with vertex set V (G) = {1, . . . , n} and edge set E(G). We are interested in studying the functions of the graph G whose values belong to the interval [(G), (G)]. Here (G) is the size of the largest stable set in G and (G) is the smallest number of cliques that cover the vertices of G. It is well known (see, for example, [1]) that for some  0 it is impossible to approximate in polynomial time (G) and (G) within a factor of n, assuming P 6= NP. We suppose that better approximation could...

5p thulanh5 12-09-2011 64 3   Download