On a directed tree problem motivated by a newly introduced graph product

<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span style="font-size: 9.000000pt; font-family: 'CMR9';">In this paper we introduce and study a directed tree problem motivated b...

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Main Authors: Antoon H. Boode, Hajo Broersma, Jan F. Broenink
Format: Article
Language:English
Published: Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia 2015-10-01
Series:Electronic Journal of Graph Theory and Applications
Subjects:
Online Access:https://www.ejgta.org/index.php/ejgta/article/view/147
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author Antoon H. Boode
Hajo Broersma
Jan F. Broenink
author_facet Antoon H. Boode
Hajo Broersma
Jan F. Broenink
author_sort Antoon H. Boode
collection DOAJ
description <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span style="font-size: 9.000000pt; font-family: 'CMR9';">In this paper we introduce and study a directed tree problem motivated by a new graph product that we have recently introduced and analysed in two conference contributions in the context of periodic real-time processes. While the two conference papers were focussing more on the applications, here we mainly deal with the graph theoretical and computational complexity issues. We show that the directed tree problem is NP-complete and present and compare several heuristics for this problem. </span></p></div></div></div>
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language English
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publishDate 2015-10-01
publisher Indonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), Indonesia
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spelling doaj.art-096aa3644df545f6b9fabf0b164a18bc2022-12-22T00:56:36ZengIndonesian Combinatorial Society (InaCombS); Graph Theory and Applications (GTA) Research Centre; University of Newcastle, Australia; Institut Teknologi Bandung (ITB), IndonesiaElectronic Journal of Graph Theory and Applications2338-22872015-10-013210.5614/ejgta.2015.3.2.548On a directed tree problem motivated by a newly introduced graph productAntoon H. Boode0Hajo Broersma1Jan F. Broenink2Robotics and Mechatronics, Faculty EEMCS, University of Twente The NetherlandsFormal Methods and Tools, Faculty EEMCS, University of Twente The NetherlandsDepartment of Computer Engineering, InHolland University of Applied Science The Netherlands<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span style="font-size: 9.000000pt; font-family: 'CMR9';">In this paper we introduce and study a directed tree problem motivated by a new graph product that we have recently introduced and analysed in two conference contributions in the context of periodic real-time processes. While the two conference papers were focussing more on the applications, here we mainly deal with the graph theoretical and computational complexity issues. We show that the directed tree problem is NP-complete and present and compare several heuristics for this problem. </span></p></div></div></div>https://www.ejgta.org/index.php/ejgta/article/view/147finite deterministic directed acyclic labelled multi-graphs, vertex removing synchronised graph product, target trees, periodic real-time systems
spellingShingle Antoon H. Boode
Hajo Broersma
Jan F. Broenink
On a directed tree problem motivated by a newly introduced graph product
Electronic Journal of Graph Theory and Applications
finite deterministic directed acyclic labelled multi-graphs, vertex removing synchronised graph product, target trees, periodic real-time systems
title On a directed tree problem motivated by a newly introduced graph product
title_full On a directed tree problem motivated by a newly introduced graph product
title_fullStr On a directed tree problem motivated by a newly introduced graph product
title_full_unstemmed On a directed tree problem motivated by a newly introduced graph product
title_short On a directed tree problem motivated by a newly introduced graph product
title_sort on a directed tree problem motivated by a newly introduced graph product
topic finite deterministic directed acyclic labelled multi-graphs, vertex removing synchronised graph product, target trees, periodic real-time systems
url https://www.ejgta.org/index.php/ejgta/article/view/147
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AT janfbroenink onadirectedtreeproblemmotivatedbyanewlyintroducedgraphproduct