IEICE TRANSACTIONS on Fundamentals
Approximation Algorithms for Multicast Routings in a Network with Multi-Sources
Summary :
We consider the capacitated multi-source multicast tree routing problem (CMMTR) in an undirected graph G=(V,E) with a vertex set V, an edge set E and an edge weight w(e) ≥ 0, e ∈ E. We are given a source set S ⊆ V with a weight g(e) ≥ 0, e ∈ S, a terminal set M ⊆ V-S with a demand function q : M → R+, and a real number κ > 0, where g(s) means the cost for opening a vertex s ∈ S as a source in a multicast tree. Then the CMMTR asks to find a subset S′⊆ S, a partition {Z1,Z2,...,Zl} of M, and a set of subtrees T1,T2,...,Tl of G such that, for each i, ∑t∈Ziq(t) ≤ κ and Ti spans Zi∪{s} for some s ∈ S′. The objective is to minimize the sum of the opening cost of S′and the constructing cost of {Ti}, i.e., ∑s∈S′g(s)+
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E90-A No.5 pp.900-906
- Publication Date
- 2007/05/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e90-a.5.900
- Type of Manuscript
- Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
- Category
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Ehab MOSRY, Hiroshi NAGAMOCHI, "Approximation Algorithms for Multicast Routings in a Network with Multi-Sources" in IEICE TRANSACTIONS on Fundamentals,
vol. E90-A, no. 5, pp. 900-906, May 2007, doi: 10.1093/ietfec/e90-a.5.900.
Abstract: We consider the capacitated multi-source multicast tree routing problem (CMMTR) in an undirected graph G=(V,E) with a vertex set V, an edge set E and an edge weight w(e) ≥ 0, e ∈ E. We are given a source set S ⊆ V with a weight g(e) ≥ 0, e ∈ S, a terminal set M ⊆ V-S with a demand function q : M → R+, and a real number κ > 0, where g(s) means the cost for opening a vertex s ∈ S as a source in a multicast tree. Then the CMMTR asks to find a subset S′⊆ S, a partition {Z1,Z2,...,Zl} of M, and a set of subtrees T1,T2,...,Tl of G such that, for each i, ∑t∈Ziq(t) ≤ κ and Ti spans Zi∪{s} for some s ∈ S′. The objective is to minimize the sum of the opening cost of S′and the constructing cost of {Ti}, i.e., ∑s∈S′g(s)+
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e90-a.5.900/_p
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@ARTICLE{e90-a_5_900,
author={Ehab MOSRY, Hiroshi NAGAMOCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Approximation Algorithms for Multicast Routings in a Network with Multi-Sources},
year={2007},
volume={E90-A},
number={5},
pages={900-906},
abstract={We consider the capacitated multi-source multicast tree routing problem (CMMTR) in an undirected graph G=(V,E) with a vertex set V, an edge set E and an edge weight w(e) ≥ 0, e ∈ E. We are given a source set S ⊆ V with a weight g(e) ≥ 0, e ∈ S, a terminal set M ⊆ V-S with a demand function q : M → R+, and a real number κ > 0, where g(s) means the cost for opening a vertex s ∈ S as a source in a multicast tree. Then the CMMTR asks to find a subset S′⊆ S, a partition {Z1,Z2,...,Zl} of M, and a set of subtrees T1,T2,...,Tl of G such that, for each i, ∑t∈Ziq(t) ≤ κ and Ti spans Zi∪{s} for some s ∈ S′. The objective is to minimize the sum of the opening cost of S′and the constructing cost of {Ti}, i.e., ∑s∈S′g(s)+
keywords={},
doi={10.1093/ietfec/e90-a.5.900},
ISSN={1745-1337},
month={May},}
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TY - JOUR
TI - Approximation Algorithms for Multicast Routings in a Network with Multi-Sources
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 900
EP - 906
AU - Ehab MOSRY
AU - Hiroshi NAGAMOCHI
PY - 2007
DO - 10.1093/ietfec/e90-a.5.900
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E90-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2007
AB - We consider the capacitated multi-source multicast tree routing problem (CMMTR) in an undirected graph G=(V,E) with a vertex set V, an edge set E and an edge weight w(e) ≥ 0, e ∈ E. We are given a source set S ⊆ V with a weight g(e) ≥ 0, e ∈ S, a terminal set M ⊆ V-S with a demand function q : M → R+, and a real number κ > 0, where g(s) means the cost for opening a vertex s ∈ S as a source in a multicast tree. Then the CMMTR asks to find a subset S′⊆ S, a partition {Z1,Z2,...,Zl} of M, and a set of subtrees T1,T2,...,Tl of G such that, for each i, ∑t∈Ziq(t) ≤ κ and Ti spans Zi∪{s} for some s ∈ S′. The objective is to minimize the sum of the opening cost of S′and the constructing cost of {Ti}, i.e., ∑s∈S′g(s)+
ER -
English
