NDLI: Graph Searching and Interval Completion

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Fomin, Fedor V. Golovach, Petr A.
Copyright Year	2000
Abstract	Inthe early studies on graph searching a graph was considered as a system of tunnels in which a fast and clever fugitive is hidden. The "classical" search problem is to find a search plan using the minimal number of searchers. In this paper, we consider a new criterion of optimization, namely, the search cost. First, we prove monotone properties of searching with the smallest cost. Then, making use of monotone properties, we prove that for any graph G the search cost of G is equal to the smallest number of edges of all interval supergraphs of G. Finally, we show how to compute the search cost of a cograph and the corresponding search strategy in linear time.
Starting Page	454
Ending Page	464
Page Count	11
File Format	PDF
ISSN	08954801
DOI	10.1137/S0895480199350477
e-ISSN	10957146
Journal	SIAM Journal on Discrete Mathematics (SJDMEC)
Issue Number	4
Volume Number	13
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-08-01
Access Restriction	Subscribed
Subject Keyword	cograph graph searching profile Graphs and linear algebra search cost Graph theory vertex separation Graph labelling interval graph completion linear layout
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Graph Searching and Interval Completion