The maximum cut problem (MAX-CUT) is one of the fundamental problems in combinatorial optimization. This chapter discusses the complexity of the MAX-CUT problem and of certain cases where the problem can be solved in polynomial time. It presents some applications of the MAXCUT problem. The ...
We also give large classes of graphs that can be seen as generalizations of classes of graphs with bounded treewidth and of the class of the cographs, and allow polynomial time algorithms for the SIMPLE MAX CUT problem. 展开 关键词:
在一个图中 flows(流)和 cuts(割)有着非常多的联系,其终极体现就是 Max-flow min-cut theorem(最大流最小割定理)。我们在本小节会给出一些定义和性质,这些定义和性质一方面可以帮助我们设计求解最大流问题的算法,另一方面可以辅助证明出 Max-flow min-cut theorem(最大流最小割定理),让我们加深对 flows 和...
In particular, two relevant special cases of the Maximum k-Conjunctive Constraint Satisfaction problem are considered: Maximum Directed Cut and Maximum Independent Set in cubic graphs. The preliminary diversification-bias analysis of the basic components shows a remarkable difference between the two ...
The max-flow min-cut theorem says that finding the minimum cut in a graph, is the same as finding the maximum flow, because the value of the minimum cut will be the same value as the maximum flow.Practical Implications of The Max-flow Min-cut Theorem...
solution to a nonlinear programming relaxation This relaxation can b e interpreted b oth as a semidenite program and as an eigenvalue mini mization problem The b est previously known approximation algorithms for these problems had p erformance guarantees of 1 for MAX CUT and 3 for MAX SAT ...
最大流问题(Maximumflowproblem)MaximumflowproblemDefinition1.isprovidedwithadirectedconnectedgraphG(V,A),specifyapointcalledthepointofsinV,andan..
In this tutorial, we discussed how to find a minimum cut by calculating the maximum flow value of a graph. We presented the Ford-Fulkerson algorithm to solve the maximum flow problem in a graph. To find the minimum cut of a graph, we discuss the max-flow min-cut theorem. Finally, we...
Sanchis (2011), A Branch-and-Cut for the Max- imum Benefit Chinese Postman Problem. Mathematical Programming, DOI: 10.1007/s10107-011- 0507-6.E. Benavent, A. Corberan, G. Desaulniers, F. Lessard, I. Plana, and J.M. Sanchis. A branch-and-cut for the maximum benefit chinese postman...
Given a graph G=(V, E) G=(V, E) and a positive integer k k , in Maximum k k -Order Bounded Component Set (Max- k k -OBCS), it is required to find a vertex set S \subseteq V S \subseteq V of maximum size such that each component in the induced graph G[S] G[S] has ...