Open Access
2012 FEEDBACK VERTEX SET ON PLANAR GRAPHS
Hong-Bin Chen, Hung-Lin Fu, Chie-Huai Shih
Taiwanese J. Math. 16(6): 2077-2082 (2012). DOI: 10.11650/twjm/1500406840

Abstract

A feedback vertex set of a graph is a set of vertices whose removal results an acyclic graph. This paper shows that for every planar graph the minimum cardinality of a feedback vertex set is at most three times the maximum number of vertex disjoint cycles in the graph.

Citation

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Hong-Bin Chen. Hung-Lin Fu. Chie-Huai Shih. "FEEDBACK VERTEX SET ON PLANAR GRAPHS." Taiwanese J. Math. 16 (6) 2077 - 2082, 2012. https://doi.org/10.11650/twjm/1500406840

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1259.05043
MathSciNet: MR3001836
Digital Object Identifier: 10.11650/twjm/1500406840

Subjects:
Primary: 05C10 , 05C85 , 68R10

Keywords: cycle packing number , feedback vertex set , vertex disjoint cycle

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 6 • 2012
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