Minimum Eccentricity Multicast Trees

We consider the problem of constructing a multicast tree that connects a group of source nodes to a group of sink nodes (receivers) and minimizes the maximum end-to-end delay between any pair of source/sink nodes. This is known as the \emphminimum eccentricity multicast tree problem, and is directly...

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Main Authors: David Krumme, Paraskevi Fragopoulou
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2001-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/278/pdf
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author David Krumme
Paraskevi Fragopoulou
author_facet David Krumme
Paraskevi Fragopoulou
author_sort David Krumme
collection DOAJ
description We consider the problem of constructing a multicast tree that connects a group of source nodes to a group of sink nodes (receivers) and minimizes the maximum end-to-end delay between any pair of source/sink nodes. This is known as the \emphminimum eccentricity multicast tree problem, and is directly related to the quality of service requirements of real multipoint applications. We deal directly with the problem in its general form, meaning that the sets of source and sink nodes need not be overlapping nor disjoint. The main contribution of this work is a polynomial algorithm for this problem on general networks which is inspired by an innovative method that uses geometric relationships on the xy-plane.
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spelling doaj.art-54d91755db16497e869e7ea16f9a410c2024-03-07T15:04:11ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502001-01-01Vol. 4 no. 210.46298/dmtcs.278278Minimum Eccentricity Multicast TreesDavid Krumme0Paraskevi Fragopoulou1Department of Electrical and Computer Engineering [Medford MA]Parallélisme, Réseaux, Systèmes, ModélisationWe consider the problem of constructing a multicast tree that connects a group of source nodes to a group of sink nodes (receivers) and minimizes the maximum end-to-end delay between any pair of source/sink nodes. This is known as the \emphminimum eccentricity multicast tree problem, and is directly related to the quality of service requirements of real multipoint applications. We deal directly with the problem in its general form, meaning that the sets of source and sink nodes need not be overlapping nor disjoint. The main contribution of this work is a polynomial algorithm for this problem on general networks which is inspired by an innovative method that uses geometric relationships on the xy-plane.https://dmtcs.episciences.org/278/pdfmulticasteccentricityalgorithmcommunicationsgraphnetwork[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
spellingShingle David Krumme
Paraskevi Fragopoulou
Minimum Eccentricity Multicast Trees
Discrete Mathematics & Theoretical Computer Science
multicast
eccentricity
algorithm
communications
graph
network
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
title Minimum Eccentricity Multicast Trees
title_full Minimum Eccentricity Multicast Trees
title_fullStr Minimum Eccentricity Multicast Trees
title_full_unstemmed Minimum Eccentricity Multicast Trees
title_short Minimum Eccentricity Multicast Trees
title_sort minimum eccentricity multicast trees
topic multicast
eccentricity
algorithm
communications
graph
network
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
url https://dmtcs.episciences.org/278/pdf
work_keys_str_mv AT davidkrumme minimumeccentricitymulticasttrees
AT paraskevifragopoulou minimumeccentricitymulticasttrees