A Theory of Network Tracing
نویسندگان
چکیده
Traceroute is a widely used program for computing the topology of any network in the Internet. Using Traceroute, one starts from a node and chooses any other node in the network. Traceroute obtains the sequence of nodes that occur between these two nodes, as specified by the routing tables in these nodes. Each use of Traceroute in a network produces a trace of nodes that constitute a simple path in this network. In every trace that is produced by Traceroute, each node occurs either by its unique identifier, or by the anonymous identifier“∗”. In this paper, we introduce the first theory aimed at answering the following important question. Is there an algorithm to compute the topology of a network N from a trace set T that is produced by using Traceroute in network N , assuming that each edge in N occurs in at least one trace in T , and that each node in N occurs by its unique identifier in at least one trace in T ? We prove that the answer to this question is “No” if N is an even ring or a general network. However, it is ”Yes” if N is a tree or an odd ring. The answer is also “No” if N is mostly-regular, but “Yes” if N is a mostly-regular even ring.
منابع مشابه
Ray-tracing and Interferometry in Schwarzschild Geometry
Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...
متن کاملA Comparative Study of Performance of Adaptive Web Sampling and General Inverse Adaptive Sampling in Estimating Olive Production in Iran
Nowadays, there is an increasing use of sampling methods in network and spatial populations. Although the most common link-tracing designs such as adaptive cluster sampling and snowball sampling have advantages over conventional sampling designs such as simple random sampling and cluster sampling, these designs still present many drawbacks. Adaptive web sampling is a new link-tracing design tha...
متن کاملComparative Analysis of Neural Network Training Methods in Real-time Radiotherapy
Background: The motions of body and tumor in some regions such as chest during radiotherapy treatments are one of the major concerns protecting normal tissues against high doses. By using real-time radiotherapy technique, it is possible to increase the accuracy of delivered dose to the tumor region by means of tracing markers on the body of patients.Objective: This study evaluates the accuracy ...
متن کاملCooperative network flow problem with pricing decisions and allocation of benefits: A game theory approach
Several real problems in telecommunication, transportation, and distribution industries can be well analyzed by network flow models. In revenue management, pricing plays a primary role which increases the profit generated from a limited supply of assets. Pricing decision directly affects the amount of service or product demand. Hence, in traditional maximum flow problem, we assume that the dema...
متن کاملIdentification Of Key Sectors For Iran, South Korea And Turkey Economies: A Network Theory Approach
متن کامل
Exploring the basic elements of successful knowledge management system with presenting a theory through a semantic network
Abstract: Nowadays knowledge is recognized as an important enabler for competitive advantages and many companies are beginning to establish knowledge management systems. Within the last few years many organizations tried to design a suitable knowledge management system and many of them were successful. This paper is to discover critical success factors (CSF) of knowledge management (KM) and the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009