A Graph-Theoretic Approach to Enterprise Network Dynamics by Horst Bunke, Peter J. Dickinson, Miro Kraetzl, Walter D.

By Horst Bunke, Peter J. Dickinson, Miro Kraetzl, Walter D. Wallis

This monograph treats the appliance of various graph-theoretic algorithms to a accomplished research of dynamic firm networks. community dynamics research yields worthwhile information regarding community functionality, potency, fault prediction, fee optimization, symptoms and warnings. in accordance with decades of utilized examine on ordinary community dynamics, this paintings covers a couple of based purposes (including many new and experimental effects) of conventional graph idea algorithms and methods to computationally tractable community dynamics research to encourage community analysts, practitioners and researchers alike.

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Several variants of signature-based methods have been explored over time. The early work in this area was based on expert systems, where rules defining the behavior of faulty systems or known network intrusions were compiled. The rule-based systems rely heavily upon expertise of network managers and do not adapt well to an evolving network environment. In the detection of network faults, alarms are generated by network resources and sent to a central management station. Alarms arising from multiple network resources must be correlated to determine the cause of a problem.

Early detection of this type of change would allow the period of performance degradation to be minimized. Flash Crowd or New Web Service In large-enterprise intranets it is not uncommon for a new web server to be installed onto a LAN segment without network operators being informed. The web server may be required for a new corporate electronic form to replace a dated mainframe-based system. As users access this new server, there will be a rise in traffic flow into and out of links adjacent to the server.

Then (ai , ai+1 , . . , aj ) is a cycle in g. 11. If a digraph contains an infinite sequence of vertices (a0 , a1 , . ) such that ai+1 ai is an arc for every i, then the digraph contains a cycle. 12. Every acyclic digraph has a start and a finish. The concept of a complete graph generalizes to the directed case in two ways. The complete directed graph on vertex set V , denoted by DKV , has as its arcs all ordered pairs of distinct members of V , and is uniquely determined by V . On the other hand, one can consider all the different digraphs that can be formed by assigning directions to the edges of the complete graph on V ; these are called tournaments.

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