On phalanx graph search number

© 2020 Taiwan Academic Network Management Committee. All rights reserved. We introduce an extension of the Connected Graph Search, called Phalanx Graph Search, which inherently emerges from the nature of certain applications. We discuss its key properties, prove NP-hardness of the problem on general...

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Main Authors: Ondřej Navrátil, Sanpawat Kantabutra, Sheng Lung Peng
Format: Journal
Published: 2020
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/70445
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-704452020-10-14T08:31:00Z On phalanx graph search number Ondřej Navrátil Sanpawat Kantabutra Sheng Lung Peng Computer Science © 2020 Taiwan Academic Network Management Committee. All rights reserved. We introduce an extension of the Connected Graph Search, called Phalanx Graph Search, which inherently emerges from the nature of certain applications. We discuss its key properties, prove NP-hardness of the problem on general graphs and introduce a linear-time algorithm for the class of trees. We exploit our analysis to examine the Minimum Phalanx Graph Search Spanning Tree Problem, again showing its hardness and investigating efficiency of certain approximations. We discuss some of our findings in relation to other search variants. 2020-10-14T08:31:00Z 2020-10-14T08:31:00Z 2020-01-01 Journal 20794029 16079264 2-s2.0-85091334609 10.3966/160792642020072104027 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091334609&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/70445
institution Chiang Mai University
building Chiang Mai University Library
continent Asia
country Thailand
Thailand
content_provider Chiang Mai University Library
collection CMU Intellectual Repository
topic Computer Science
spellingShingle Computer Science
Ondřej Navrátil
Sanpawat Kantabutra
Sheng Lung Peng
On phalanx graph search number
description © 2020 Taiwan Academic Network Management Committee. All rights reserved. We introduce an extension of the Connected Graph Search, called Phalanx Graph Search, which inherently emerges from the nature of certain applications. We discuss its key properties, prove NP-hardness of the problem on general graphs and introduce a linear-time algorithm for the class of trees. We exploit our analysis to examine the Minimum Phalanx Graph Search Spanning Tree Problem, again showing its hardness and investigating efficiency of certain approximations. We discuss some of our findings in relation to other search variants.
format Journal
author Ondřej Navrátil
Sanpawat Kantabutra
Sheng Lung Peng
author_facet Ondřej Navrátil
Sanpawat Kantabutra
Sheng Lung Peng
author_sort Ondřej Navrátil
title On phalanx graph search number
title_short On phalanx graph search number
title_full On phalanx graph search number
title_fullStr On phalanx graph search number
title_full_unstemmed On phalanx graph search number
title_sort on phalanx graph search number
publishDate 2020
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85091334609&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/70445
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