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Kruskal-based approximation algorithm for the multi-level Steiner tree problem
[article]
2020
arXiv
pre-print
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In this paper, we describe a natural generalization to the multi-level case of the classical (single-level) Steiner tree approximation algorithm based on Kruskal's minimum spanning tree algorithm. ...
We study the multi-level Steiner tree problem: a generalization of the Steiner tree problem in graphs where terminals T require varying priority, level, or quality of service. ...
Motivated by multi-level graph visualization, we refer to this problem as the multi-level Steiner tree problem. Definition 1 (Multi-level Steiner tree (MLST)). ...
arXiv:2002.06421v2
fatcat:tnw2nbmq6vf4lpfmfpbatqaxfm
Kruskal-Based Approximation Algorithm for the Multi-Level Steiner Tree Problem
2020
European Symposium on Algorithms
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In this paper, we describe a natural generalization to the multi-level case of the classical (single-level) Steiner tree approximation algorithm based on Kruskal's minimum spanning tree algorithm. ...
We study the multi-level Steiner tree problem: a generalization of the Steiner tree problem in graphs where terminals T require varying priority, level, or quality of service. ...
problem with non-proportional edge costs.
4:14 Kruskal-Based Approximation Algorithm for the Multi-Level Steiner Tree Problem
A Proof of Theorem 6 Proof. ...
doi:10.4230/lipics.esa.2020.4
dblp:conf/esa/AhmedSHKS20
fatcat:ivlsmltfubgt3nqvocppa5lvoi
Construction of Data Aggregation Tree for Multi-objectives in Wireless Sensor Networks through Jump Particle Swarm Optimization
2014
Procedia Computer Science
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In this case, the way how to design a tree structure subjected to multi-objectives becomes a crucial task, which is called as multi-objective steiner tree problem (MOSTP). ...
In view of this kind of situation, a multi-objective optimization framework is proposed, and a heuristic algorithm based on jump particle swarm optimization (JPSO) with a specific double layer encoding ...
M-REST is another approximate algorithm based on genetic algorithm proposed to solve a multi-objective relaying nodes placement problem in 7 . ...
doi:10.1016/j.procs.2014.08.086
fatcat:7d5mykxgmrdqvnxmzhmmqbyz7m
Local search with perturbations for the prize-collecting Steiner tree problem in graphs
2001
Networks
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In this paper, we describe a multi-start local search algorithm for the prize-collecting Steiner tree problem, based on the generation of initial solutions by a primal-dual algorithm using perturbed node ...
Given an undirected graph with prizes associated with its nodes and weights associated with its edges, the prize-collecting Steiner tree problem consists in finding a subtree of this graph which minimizes ...
We notice that if the subset of nodes X to be spanned is known, we have the Steiner tree problem, which consists in finding a minimum weighted connected subtree of G spanning all nodes in X. ...
doi:10.1002/net.1023
fatcat:igthsa4bcnhqbclxud2otbvkne
Approximation algorithms for constrained generalized tree alignment problem
2009
Discrete Applied Mathematics
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In this paper, we present constant approximation algorithms for the constrained generalized tree alignment problem. ...
For the generalized tree alignment problem, a special case of this problem, our algorithms provide a guaranteed error bound of 2 − 2/k. ...
Acknowledgements We thank an anonymous referee for very helpful comments on a previous draft of this paper. We also would like to thank Professor Michael Saks for some useful comments and suggestions. ...
doi:10.1016/j.dam.2008.10.009
fatcat:z2d4i5hmyvdcxgzxmw2nlvwi2e
Spanning Trees With Edge Conflicts and Wireless Connectivity
2018
International Colloquium on Automata, Languages and Programming
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We introduce the problem of finding a spanning tree along with a partition of the tree edges into fewest number of feasible sets, where constraints on the edges define feasibility. ...
We also treat an extension to Steiner trees, modeling multicasting, and obtain a comparable result. ...
Latency minimization: Bounding the time it takes for a packet to filter through the tree from a leaf to a root (and back). ...
doi:10.4230/lipics.icalp.2018.158
dblp:conf/icalp/HalldorssonKMT18
fatcat:6am2qyxyljdrznb36xhzyzavva
Evolutionary multiobjective combinatorial optimization (EMCO)
2008
Proceedings of the 2008 GECCO conference companion on Genetic and evolutionary computation - GECCO '08
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The Steiner minimum tree T={(a,d),(b,d),(c,d)} which is shown in Figure b.Minimum Steiner tree problem is NP-complete. ...
unsupported Pareto-optimal solutions **/ Use λ on edge costs to aggregate and generate tree using standard Kruskal algorithm Update PF Output PF 73 Pareto-ranking based MOEA
Complete Elitism
Parameter ...
doi:10.1145/1388969.1389079
dblp:conf/gecco/Kumar08
fatcat:acsog2ea35eijaww2ai7ozm4qi
Global and detailed routing
[chapter]
2009
Electronic Design Automation
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We also thank the authors of ] for their help with the formulation of the programming assignment in Exercise 12.11, and Mr. ...
National Taiwan University students in the 2008 Physical Design class, and the EDA Laboratory for their very careful review of this chapter. ...
A better and more natural method to route multi-pin nets is to adopt the Steiner-tree-based approach. ...
doi:10.1016/b978-0-12-374364-0.50019-9
fatcat:ybywesjpgjgppotezavllr3vmi
Spanning Trees With Edge Conflicts and Wireless Connectivity
[article]
2018
arXiv
pre-print
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We introduce the problem of finding a spanning tree along with a partition of the tree edges into fewest number of feasible sets, where constraints on the edges define feasibility. ...
We also treat an extension to Steiner trees, modeling multicasting, and obtain a comparable result. ...
Our algorithm is a reduction to a multi-dimensional version of the Steiner tree (MMST) problem, recently treated by Bilò et al. [3] . ...
arXiv:1803.04578v1
fatcat:cfoah6xtdfg55kajdnbxy5dyui
A prize collecting Steiner tree approach to least cost evaluation of grid and off-grid electrification systems
2018
Energy
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We model the spatial network planning problem as Prize Collecting Steiner Tree problem, which would be a base for a decision support tool for rural electrification. ...
Comparative results for the proposed approach and a widely used heuristic method are presented based on computational experiments. ...
Alternatively, we presented the Prize Collecting Steiner Tree model of the underlying problem, which yields the optimal solutions to the problem. ...
doi:10.1016/j.energy.2018.07.029
fatcat:bwdt7645w5amzb6cd5ewcwpkpe
Performance optimization of VLSI interconnect layout
1996
Integration
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interconnects, including the algorithms for total wire length minimization, critical path length minimization, and delay minimization; (ii) device and interconnect sizing, including techniques for efficient ...
clock nets, non-tree clock routing, and clock schedule optimization. ...
Acknowledgement This work is partially supported by DARPA under Contract J-FBI-93-112, NSF Young Investigator Award MIP9357582, and grants from Intel Corporation and Silicon Valley Research under the California ...
doi:10.1016/s0167-9260(96)00008-9
fatcat:jt7444lufzaf5hxi7vg22qvvue
SDNPS: A Load-Balanced Topic-Based Publish/Subscribe System in Software-Defined Networking
2016
Applied Sciences
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In this paper, we propose an SDN-based publish/subscribe system named SDNPS, which can construct and fine-tune topic-connected overlays for the sake of disseminating events efficiently and non-redundantly ...
However, this problem is not solved, essentially owing to the global knowledge insufficiency under the distributed management of the traditional Internet. ...
Conflicts of Interest: The authors declare no conflict of interest. ...
doi:10.3390/app6040091
fatcat:6hbnrtxuavexpnypog4bn7dvlu
ResilientWireless Sensor Networks Using Topology Control: A Review
2015
Sensors
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A more complete survey on the topology control based on a 3−dimension model for WSNs can be found in [133] . ...
Multi-path routing protocols are discussed, and many NP-complete or NP-hard problems regarding topology control are identified. The challenging open issues are discussed at the end. ...
Acknowledgments This work is supported by the European project "Design, Monitoring and Operation of Adaptive Networked Embedded Systems" (DEMANES) (project code ARTEMIS-JU:295372) and "Ministerio de Industria ...
doi:10.3390/s151024735
pmid:26404272
pmcid:PMC4634502
fatcat:epnq3t5g3ja4ddhqcjjnvp4x3a
Ant colony system: a cooperative learning approach to the traveling salesman problem
1997
IEEE Transactions on Evolutionary Computation
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.: Measuring the quality of approximate solutions to zero-one programming problems. Mathematics of Operations Research 6, 319-332 (1981) 33. ...
.: Model based search for combinatorial optimization: a comparative study. In: Guervós, J. ...
.: A hybrid Lagrangian genetic algorithm for the prize collecting Steiner tree problem. Comput. & Operations Res. 33(5), 1274-1288 (2006) 131. Magnanti, T.L., Wolsey, L.A.: Optimal trees. ...
doi:10.1109/4235.585892
fatcat:mo4wg7gnhzaofi4yknobao6ddy
The k-Cardinality Tree Problem: Reformulations and Lagrangian Relaxation
2010
Discrete Applied Mathematics
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However, a Branch-and-Bound algorithm based on the second reformulation proved much more effective and managed to obtain, for the first time, optimality certificates for a large number of KCTP instances ...
Given an undirected defining graph for the k-Cardinality Tree Problem (KCTP), an associated directed graph involving two additional vertices is introduced in this paper and gives rise to two compact reformulations ...
The first is based on multicommodity flows, very much in the vein of the reformulation proposed for the Steiner Problem in Graphs in [24] . ...
doi:10.1016/j.dam.2009.01.017
fatcat:iqpjgfbgofhtjabiw5qn3pmvoi
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