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Spider Covers and Their Applications
Joint Authors
De Santis, Filomena
Vaccaro, Ugo
Negro, Alberto
Hammar, Mikael
Gargano, Luisa
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-28
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We introduce two new combinatorial optimization problems: the Maximum Spider Problem and the Spider Cover Problem; we study their approximability and illustrate their applications.
In these problems we are given a directed graph G=(V,E), a distinguished vertex s, and a family D of subsets of vertices.
A spider centered at vertex s is a collection of arc-disjoint paths all starting at s but ending into pairwise distinct vertices.
We say that a spider covers a subset of vertices X if at least one of the endpoints of the paths constituting the spider other than s belongs to X.
In the Maximum Spider Problem the goal is to find a spider centered at s that covers the maximum number of elements of the family D.
Conversely, the Spider Cover Problem consists of finding the minimum number of spiders centered at s that covers all subsets in D.
We motivate the study of the Maximum Spider and Spider Cover Problems by pointing out a variety of applications.
We show that a natural greedy algorithm gives a 2-approximation algorithm for the Maximum Spider Problem and a (log|?|+1)-approximation algorithm for the Spider Cover Problem.
American Psychological Association (APA)
De Santis, Filomena& Gargano, Luisa& Hammar, Mikael& Negro, Alberto& Vaccaro, Ugo. 2012. Spider Covers and Their Applications. ISRN Discrete Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-464648
Modern Language Association (MLA)
De Santis, Filomena…[et al.]. Spider Covers and Their Applications. ISRN Discrete Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-464648
American Medical Association (AMA)
De Santis, Filomena& Gargano, Luisa& Hammar, Mikael& Negro, Alberto& Vaccaro, Ugo. Spider Covers and Their Applications. ISRN Discrete Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-464648
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464648