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A POLYNOMIAL ALGORITHM FOR FINDING THE MINIMUM FEEDBACK VERTEX SET OF A 3-REGULAR SIMPLE GRAPH 1
Institution:1. School of Computer Science and Engineering, Central South University, Changsha, China;2. Department of Computing, Hong Kong Polytechnic University, Hong Kong, China;1. Tepper School of Business, Carnegie Mellon University, Pittsburgh, PA 15213, USA;2. Krannert School of Management, Purdue University, West Lafayette, IN 47906, USA
Abstract:A subset of the vertex set of a graph is a feedback vertex set of the graph if the resulting graph is a forest after removed the vertex subset from the graph. A polynomial algorithm for finding a minimum feedback vertex set of a 3-regular simple graph is provided.
Keywords:maximum genus  nonseparating independent number  feedback vertex set  3-regular graph  adjacency matching  05C45
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