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Induced Decompositions of Graphs

✍ Scribed by J. Adrian Bondy; Jayme L. Szwarcfiter


Book ID
112121118
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
548 KB
Volume
72
Category
Article
ISSN
0364-9024

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## Abstract An island decomposition of a graph __G__ consists of a set of vertex‐disjoint paths which cover the vertex set of __G.__ If the endpoints of the paths are mutually nonadjacent, then we have an atoll decomposition. We characterize graphs requiring two paths in an island decomposition yet