3 edition of **Using minimal spanning trees to compare the reliabilty of network topologies** found in the catalog.

Using minimal spanning trees to compare the reliabilty of network topologies

Karen J. Leister

- 129 Want to read
- 13 Currently reading

Published
**1990**
by National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, For sale by the National Technical Information Service in [Washington, DC], [Springfield, Va
.

Written in English

- Computer networks -- Reliability.,
- Trees (Graph theory)

**Edition Notes**

Statement | Karen J. Leister, Allan L. White, and Kelly J. Hayhurst. |

Series | NASA technical memorandum -- 4208. |

Contributions | White, Allan L., Hayhurst, Kelly J., United States. National Aeronautics and Space Administration. Scientific and Technical Information Division. |

The Physical Object | |
---|---|

Format | Microform |

Pagination | 1 v. |

ID Numbers | |

Open Library | OL15297751M |

Comparing Topologies and the (Design) Rules of the Game By Sanjaya Maniktala Abstract This paper compares the three major DC-DC converter topologies, and sets design guidelines for each, based on a logical understanding of their nuances and their response to input voltage variations. Introduction. Using the Miller-Tucker-Zemlin constraints to formulate a minimal spanning tree problem with hop constraints. Computers and Operations Research, –, zbMATH CrossRef Google Scholar L. by:

The common model, capacitated minimum spanning tree (CMST), is discussed, and we describe variants of the Esau–Williams algorithm with different types of constraints for finding near-optimal CMST. We also study resilience aspects of access networks, and describe an algorithm for successive improvement of resilience by using so-called scenarios. Key Difference: Network topology refers to the arrangement of different devices on the , ring, mesh, tree and hybrid are main topologies in context to a computer network. Topology in general is related with the study of spaces.

The Minimal Spanning Tree Problem. Consider the undirected network as shown in the figure. The graph consists of nodes and edges, and each edge has an associated length. An edge is the line segment connecting two nodes and has the same length in either direction. The Minimal Spanning Tree problem is to select a set of edges so that there is a. The Spanning Tree Protocol (STP) is a network protocol that builds a loop-free logical topology for Ethernet basic function of STP is to prevent bridge loops and the broadcast radiation that results from them. Spanning tree also allows a network design to include backup links providing fault tolerance if an active link fails.. As the name suggests, STP creates a spanning tree that.

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The graph theory methods used are minimal spanning trees for networks with bi-directional links and the related concept of strongly connected directed graphs for networks with uni-directional links.

A comparison is conducted of ring networks and braided networks. The minimal spanning tree problem is similar to the shortest route problem, except that the objective is to connect all the nodes in the network so that the total branch lengths are minimized.

The resulting network spans (connects) all the points in the network at a minimum total distance (or length). The minimum spanning tree. Analysis of the minimum spanning tree (MST) may be helpful as it avoids methodological biases when comparing networks. The MST is mathematically defined as the sub-network that connects all nodes while minimizing the link weights and without forming loops (Kruskal,Prim, ).

The link weights in neuroimaging Cited by: Minimum Spanning Tree Problem We are given a undirected graph (V,E) with the node set V and the edge set E. We are also given weight/cost c ij for each edge {i,j} ∈ E.

Determine the minimum cost spanning tree in the graph. The problem is solved by using the Minimal Spanning Tree Algorithm. Operations Research Methods 8File Size: 2MB.

In Saoud and Moussaoui (), an approach is represented based on Minimum Spanning Tree and Modularity (MST-M). This method gets a network graph and convert it to a tree. This method gets a.

STP is a Layer 2 switching protocol used by classic Ethernet [1], which ensures loop-free network topologies by always creating a single path tree structure through the network. In the event of a link failure or reconfiguration, the network halts all traffic while the spanning tree algorithm recalculates the allowed loop-free paths through the network.

A link between reliability networks and repairable flow networks is established. A reliability network can be interpreted as a repairable flow network with edges with integer capacities equal to the number of edges in the network.

The probability of system operation is then equal to. Minimum spanning tree is the spanning tree where the cost is minimum among all the spanning trees. There also can be many minimum spanning trees. Minimum spanning tree has direct application in the design of networks.

It is used in algorithms approximating the. Spanning Tree Protocol (STP) resolves redundant topologies into loop-free, treelike topologies. When switches are interconnected via multiple paths, STP prevents loops from being formed.

An STP loop (or forwarding loops) can occur when the entire network fails because of a hardware failure, a configuration issue, or a network attack. To get the minimum spanning tree with vertex 0 as leaf, first remove 0th row and 0th column and then get the minimum spanning tree (MST) of the remaining graph.

Once we have MST of the remaining graph, connect the MST to vertex 0 with the edge with minimum weight (we have two options as there are two 1s in 0th row).

Namely, we study which topologies are allowed for a sensor network that uses, for supporting connectivity, a local minimum spanning tree approach. First, we refine the current definition of LMST realizability, focusing on the role of the power of transmission (i.e., of the radius of the covered area).Author: G.

Di Battista, L. Grilli, G. Liotta, M. Patrignani, F. Trotta. In this paper, at first, using decomposition method, a careful reliability analysis of Ethernet single-ring mesh networks will be presented. In addition, an accurate analysis of the reliability of Ethernet multiple-ring mesh networks will be performed by a novel approach named the spanning tree set method.

sented, followed by a discussion of minimal spanning trees and of the fact that, in general, reliability is not directly related to the number of minimal spanning trees in a network. The use of a fault tree program to compute the reliability of networks by means of minimal spanning trees is also discussed.

The next four sections cover the work performed. Get this from a library. Using minimal spanning trees to compare the reliabilty of network topologies.

[Karen J Leister; Allan L White; Kelly J Hayhurst; United States. National Aeronautics and Space Administration. Scientific and Technical Information Division.]. The degree-constrained minimum spanning tree (DCMST) problem is the problem of finding the minimum cost spanning tree in an edge weighted complete graph such that each vertex in the spanning tree.

Network topologies should be designed to provide resilience against link failures. A network with good resilience properties is referred to as a survivable network. There are many possible measures of resilience.

k-Connectivity is often used as a design criterion. constraint of some minimum cost is called a Minimum Spanning Tree. A Spanning Tree of an example Mesh Topology Network is conveyed in Figure 8. In simple cases the Minimum Spanning Tree problem is addressed with an algorithm that involves picking an A Survey of Computer Network Topology and Analysis ExamplesFile Size: KB.

• The Minimal Spanning Tree (MST) – A spanning tree of G whose total weight is a minimum minimum cost spanning tree – Can have many MSTsCan have many MSTs – all with same costall with same cost • MSTs are used in for network designs when have just few nodes and cost is dominant factor (Access networks) • Two algorithms Kruskal and PrimFile Size: KB.

The fastest minimum spanning tree algorithm to date was developed by David Karger, Philip Klein, and Robert Tarjan, who found a linear time randomized algorithm based on a combination of Borůvka's algorithm and the reverse-delete algorithm.[2][3] The fastest non-randomized algorithm, by Bernard Chazelle, is based on the soft heap, an.

Additionally we propose to apply the Minimum Spanning Tree (MST) algorithm in a distributed manner as the basis of an optimised ad hoc network flooding algorithm called Localised Minimum Spanning Tree Flooding (LMSTFlood).

Using simulated sequence data, we compare our method with three purely algorithmic and widely used graph construction approaches (minimum-spanning network, statistical parsimony, and median-joining network).

We demonstrate that the combination of MP trees into a single graph provides a good estimate of the true by: other segments of the network but no data can be retrieved from the failed segments.

pass on the ﬁbroadcast data stormﬂ and impact other connected segments. An explanation of device unavailability and fault tree construction is included in reference [1]. Reference [2] .Keywords: Network evolution, network visualization, co-citation networks, Pathfinder networks, minimum spanning trees.

1 Introduction The significance of understanding the evolution of a complex network is widely recognized. For example, recent research in complex network theory has focused on statistical mechanisms.