This paper presents a polynomial-time algorithm for the minimum-weight-cycle problem on graphs that decompose via 3-separations into well-structured graphs. The problem is NP-hard in general. Graphs that decompose via 3-separations into well-structured graphs include Halin, outer-facial, deltawye, w
Minimum cycle covers of graphs
โ Scribed by Fan, Genghua
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 145 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0364-9024
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โฆ Synopsis
Some new results on minimum cycle covers are proved. As a consequence, it is obtained that the edges of a bridgeless graph G can be covered by cycles of total length at most |E(G)| + 25 24 (|V (G)| -1), and at most |E(G)| + |V (G)| -1 if G contains no circuit of length 8 or 12.
๐ SIMILAR VOLUMES
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