In this paper, we consider the problem of constructing a multicast tree in the star graph under the single-port communication model. Unlike previous studies for constructing space-efficient multicast trees, we adopt the completion time of each multicast as the objective function to be minimized. In particular, we study a special case of the problem in which all destination vertices are immediate neighbors of the source vertex, and propose a multicast scheme for the star graph of dimension n in 1.3125log2 n + O(log log n) time units. This running time is at most 1.3125 times of that of an optimal scheme.
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Satoshi FUJITA, "Time-Efficient Multicast to Local Vertices in Star Interconnection Networks under the Single-Port Model" in IEICE TRANSACTIONS on Information,
vol. E87-D, no. 2, pp. 315-321, February 2004, doi: .
Abstract: In this paper, we consider the problem of constructing a multicast tree in the star graph under the single-port communication model. Unlike previous studies for constructing space-efficient multicast trees, we adopt the completion time of each multicast as the objective function to be minimized. In particular, we study a special case of the problem in which all destination vertices are immediate neighbors of the source vertex, and propose a multicast scheme for the star graph of dimension n in 1.3125log2 n + O(log log n) time units. This running time is at most 1.3125 times of that of an optimal scheme.
URL: https://global.ieice.org/en_transactions/information/10.1587/e87-d_2_315/_p
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@ARTICLE{e87-d_2_315,
author={Satoshi FUJITA, },
journal={IEICE TRANSACTIONS on Information},
title={Time-Efficient Multicast to Local Vertices in Star Interconnection Networks under the Single-Port Model},
year={2004},
volume={E87-D},
number={2},
pages={315-321},
abstract={In this paper, we consider the problem of constructing a multicast tree in the star graph under the single-port communication model. Unlike previous studies for constructing space-efficient multicast trees, we adopt the completion time of each multicast as the objective function to be minimized. In particular, we study a special case of the problem in which all destination vertices are immediate neighbors of the source vertex, and propose a multicast scheme for the star graph of dimension n in 1.3125log2 n + O(log log n) time units. This running time is at most 1.3125 times of that of an optimal scheme.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - Time-Efficient Multicast to Local Vertices in Star Interconnection Networks under the Single-Port Model
T2 - IEICE TRANSACTIONS on Information
SP - 315
EP - 321
AU - Satoshi FUJITA
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E87-D
IS - 2
JA - IEICE TRANSACTIONS on Information
Y1 - February 2004
AB - In this paper, we consider the problem of constructing a multicast tree in the star graph under the single-port communication model. Unlike previous studies for constructing space-efficient multicast trees, we adopt the completion time of each multicast as the objective function to be minimized. In particular, we study a special case of the problem in which all destination vertices are immediate neighbors of the source vertex, and propose a multicast scheme for the star graph of dimension n in 1.3125log2 n + O(log log n) time units. This running time is at most 1.3125 times of that of an optimal scheme.
ER -