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On an Online Spanning Tree Problem in Randomly Weighted Graphs
2006
Combinatorics, probability & computing
This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. ...
An algorithm receives the edges one by one and has to decide immediately whether to include the current edge into the spanning tree or to reject it. ...
The problem of finding a minimum spanning tree in graphs is one of the classical problems in combinatorial optimization and thus well studied. ...
doi:10.1017/s096354830600770x
fatcat:2tikxiyo5rdgte5z53qqtbpyay
Dynamic Network Formation for FSO Satellite Communication
2022
Applied Sciences
Based on a large number of simulations, we conclude that, although the underlying problem of bounded-degree-spanning-tree is NP-hard (even for static cases), the suggested ant-colony heuristic is able ...
Moreover, classical communication optimization methods, such as Minimal Spanning Tree, cannot be applied directly in dynamic scenarios where the satellite constellation is constantly changing. ...
A simpler version of this problem is well known in the literature as the Minimum Spanning Tree (or MST) problem [22] . As mentioned above, static graphs are graphs with static (unchanging) weights. ...
doi:10.3390/app12020738
fatcat:zm4gs7agbzakfpsd3dlcvequ4e
Fast and Robust Graph-based Transductive Learning via Minimum Tree Cut
2011
2011 IEEE 11th International Conference on Data Mining
After approximating a graph with a spanning tree, we develop a linear-time algorithm to label the tree such that the cut size of the tree is minimized. ...
In this paper, we propose an efficient and robust algorithm for graph-based transductive classification. ...
[6] extended the work of [11] from the un-weighted graph to the weighted one, and shown the cumulative errors of their algorithm is bounded in terms of the cut size of a random spanning tree. ...
doi:10.1109/icdm.2011.66
dblp:conf/icdm/ZhangHL11
fatcat:bv4dckv7bffefp5ox2djoc6a5e
Online broadcasting and multicasting in WDM networks with shared light splitter bank
2007
2007 Fourth International Conference on Broadband Communications, Networks and Systems (BROADNETS '07)
In this paper we deal with online broadcasting and multicasting in a WDM optical network with shared light splitter bank. Our objective is to maximize the network throughput. ...
We then show that under either of the two proposed cost models, finding a cost-optimal broadcast or multicast tree for a broadcast or multicast request is NP-complete, and instead devise approximation ...
Approximation algorithm for degree-constrained broadcast trees Given an undirected graph G(V, E, d ), each node v ∈ V is bounded by an integer 1 ≤ d (v) ≤ d v , the problem is to construct a spanning tree ...
doi:10.1109/broadnets.2007.4550475
dblp:conf/broadnets/LiangL07
fatcat:ilcfyyt7ijdglcl4jj4v7g3xua
Online Multicasting in WDM Networks with Shared Light Splitter Bank
[chapter]
2007
Lecture Notes in Computer Science
Instead, it either accepts the request by building an economic multicast tree for the request, in terms of the utilization of the network resources if it has sufficient resources available, or rejects ...
In this article we first propose a cost model for realizing an online multicast request under such network environments with limited light splitters and wavelength converters, which models the cost of ...
The node-weighted Steiner tree problem is to find a tree in G spanning all the nodes in terminal set D such that the weighted sum of the nodes in the tree is minimized. ...
doi:10.1007/978-3-540-72606-7_82
fatcat:kx44tvdqmvcqpkur5lbjd2akuu
Online multicasting in WDM networks with shared light splitter bank
2008
Photonic network communications
Instead, it either accepts the request by building an economic multicast tree for the request, in terms of the utilization of the network resources if it has sufficient resources available, or rejects ...
In this article we first propose a cost model for realizing an online multicast request under such network environments with limited light splitters and wavelength converters, which models the cost of ...
The node-weighted Steiner tree problem is to find a tree in G spanning all the nodes in terminal set D such that the weighted sum of the nodes in the tree is minimized. ...
doi:10.1007/s11107-008-0138-x
fatcat:ufbftheipjcjpengnrtz2qs4w4
Robust Lineage Reconstruction from High-Dimensional Single-Cell Data
[article]
2016
bioRxiv
pre-print
Such uncertainties have not been taken into account in current methods. ...
ECLAIR uses an ensemble approach to improve the robustness of lineage predictions, and provides a quantitative estimate of the uncertainty of lineage branchings. ...
Figure S3 : S3 A schematic showing the minimum spanning tree is sensitive to small perturbation of the edge weights. (A,B) Two graphs with continuous edge weights. ...
doi:10.1101/036533
fatcat:iweohj7vvjhbjnvwzqs26uqnim
Evolutionary Local Search for Designing Peer-to-Peer Overlay Topologies Based on Minimum Routing Cost Spanning Trees
[chapter]
2006
Lecture Notes in Computer Science
An example of such a graph is a spanning tree connecting all nodes in the overlay. ...
Finding overlay topologies for peer-to-peer networks on top of the Internet can be regarded as a network design problem, in which a graph with minimum communication costs is desired. ...
In section 2, an overview is given for network optimization problems with focus on the minimum routing cost spanning tree (MRT) problem as well as local search algorithms. ...
doi:10.1007/11844297_28
fatcat:v6ob4qazdzgt7aqifqod5txi6u
Online Multicasting for Network Capacity Maximization in Energy-Constrained Ad Hoc Networks
2006
IEEE Transactions on Mobile Computing
Specifically, we first propose an online algorithm for the problem based on an exponential function of energy utilization at each node. ...
This is in contrast to the implication by Kar et al. that the network lifetime is proportional to the network capacity when they considered the online unicast routing by devising an algorithm based on ...
Fortunately, through the construction of an auxiliary graph, we can transform a nodeweighted multicast tree problem in the original network into an edge-weighted multicast tree problem equivalently in ...
doi:10.1109/tmc.2006.133
fatcat:htmssdrkgzc7fixuzb5gy5fusq
On-line network optimization problems
[chapter]
1998
Lecture Notes in Computer Science
We survey results on online versions of the standard network optimization problems, including the minimum spanning tree problem, the minimum Steiner tree problem, the weighted and unweighted matching problems ...
The goal in these problems is to maintain, with minimal changes, a low cost subgraph of some type in a dynamically changing network. ...
The particular types of subgraphs we consider are unweighted matchings, weighted matchings, tours, spanning trees, k-connected spanning graphs, Steiner trees, and generalized Steiner trees. ...
doi:10.1007/bfb0029573
fatcat:kdh23xb4mnbelhcim36r6httea
GSST: anytime guaranteed search
2010
Autonomous Robots
The problem is as follows: clear the environment of any adversarial target using the fewest number of searchers. This problem is NP-hard on arbitrary graphs but can be solved in linear-time on trees. ...
We present Guaranteed Search with Spanning Trees (GSST), an anytime algorithm for multi-robot search. ...
Thanks to volunteer firefighter (and professional roboticist) Seth Koterba for feedback on the system. Parts of this work utilized Jonathan Richard Shewchuk's free Delaunay triangulation software. ...
doi:10.1007/s10514-010-9189-9
fatcat:idmfemntb5dgvbvitu3yifgbfe
Incremental Object Discovery in Time-Varying Image Collections
2016
2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
In this paper, we address the problem of object discovery in time-varying, large-scale image collections. ...
Our proposed tree structure can be created in a local neighborhood of the matching graph during image retrieval and can be efficiently updated whenever the image database is extended. ...
As such, it is not possible to use MS directly on G (at this point G is not fully connected). The spanning tree construction is necessary in order to circumvent this problem. ...
doi:10.1109/cvpr.2016.229
dblp:conf/cvpr/KontogianniML16
fatcat:h4enqxfbsnfzjg3bv4oiy4u2vm
The regenerator location problem
2009
Networks
We show how to represent the RLP as a max leaf spanning tree problem (MLSTP) on a transformed graph. ...
In this paper we introduce the regenerator location problem (RLP), which deals with a constraint on the geographical extent of transmission in optical networks. ...
To ensure feasibility, we first construct an arbitrary spanning tree over the n nodes. We then randomly generate 1) ) edges and add them to the spanning tree generated previously. ...
doi:10.1002/net.20366
fatcat:xjmt7vfcoratdeq7ybwjo55diq
Maximizing Throughput in Layered Peer-to-Peer Streaming
2007
2007 IEEE International Conference on Communications
Layered streaming is an effective solution to address the receiver heterogeneity in peer-to-peer (P2P) multimedia distribution. ...
We formulate the problem using the multicommodity flow theory, and propose a series of routing algorithms that fully explore the tradeoff between theoretical optimality and practicability. ...
On top of each overlay graph, different spanning trees can be found. Fig. 2 shows a sample spanning tree for the overlay graphs G(a) and G(b) in Fig. 1 . ...
doi:10.1109/icc.2007.290
dblp:conf/icc/DaiCX07
fatcat:hfgjvgvh7ngq7gaycqlle7mpsa
Constructing low-latency overlay networks: Tree vs. mesh algorithms
2008
2008 33rd IEEE Conference on Local Computer Networks (LCN)
In particular, we focus on reducing the diameter and the pair-wise latencies in the overlay. ...
We found that trees are faster to construct and save considerable amounts of resources in the network. ...
Formally, an MDST-algorithm constructs a spanning tree T on G such that the maximum weight shortest path (diameter) p ∈ T , e∈p W (e) is minimized. ...
doi:10.1109/lcn.2008.4664149
dblp:conf/lcn/VikGH08
fatcat:fp2lr37ht5enho7ebxfxzsrwbe
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