NDLI: Loose Cover of Graphs

Content Provider	Springer Nature Link
Author	Fujita, Satoshi
Copyright Year	2009
Abstract	This paper introduces a new definition of embedding a local structure to a given network, called loose cover of graphs. We derive several basic properties on the notion of loose cover, which includes transitivity, maximality, and the computational complexity of finding a loose cover by paths and cycles. In particular, we show that the decision problem is in P if the given local structure is a path with three or less vertices, while it is NP-complete for paths consisting of six or more vertices.
Starting Page	31
Ending Page	38
Page Count	8
File Format	PDF
ISSN	16618270
Journal	Mathematics in Computer Science
Volume Number	3
Issue Number	1
e-ISSN	16618289
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2009-11-27
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Dominating set Cover of graphs Graph embedding Graph algorithms Dominating sets, independent sets, cliques Mathematics Computer Science
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Theory and Mathematics Computational Mathematics

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Loose Cover of Graphs