Communication Performance Evaluation of the Locally Twisted Cube

The topology properties of multi-processors interconnection networks are important to the performance of high performance computers. The hypercube network [Formula: see text] has been proved to be one of the most popular interconnection networks. The [Formula: see text]-dimensional locally twisted cube [Formula: see text] is an important variant of [Formula: see text]. Fault diameter and wide diameter are two communication performance evaluation parameters of a network. Let [Formula: see text]), [Formula: see text] and [Formula: see text] denote the diameter, the [Formula: see text] fault diameter and the wide diameter of [Formula: see text], respectively. In this paper, we prove that [Formula: see text] if [Formula: see text] is an odd integer with [Formula: see text], [Formula: see text] if [Formula: see text] is an even integer with [Formula: see text].

Some diameter notions of Fibonacci cubes

In any network, the diameter is often taken as a measure of efficiency, as it measures the maximum communication delay. The fact that addition or deletion of edges changes the diameter gives rise to the concept of diameter variability. Its study becomes important as it determines the communication efficiency when an addition or deletion of a link occurs in a network. Two other important graph parameters considered as a measure of reliability and efficiency of networks are wide diameter and fault diameter. In this paper, we study these diameter notions of the Fibonacci cubes.

Anomaly Detection for Equipment Condition via Frequency Spectrum Entropy

Some of the critical and practical issues regarding the problem of condition monitoring of mobile equipment have been discussed, and an anomaly detection method without priori knowledge has been proposed. The method involves setting amplitude benchmark via spectrum amplitude in normal condition and obtaining the maximum entropy value in abnormal condition. The condition identification is achieved through estimating the amount of anomaly information in spectrum, and a measure of anomaly condition is given by the anomaly degree derived from entropy value dividing the maximum value. The sensitivity, stability and computation load of the method have been also discussed, and the method is validated on an experimental test-bed that the test bearings with different fault diameter support the motor shaft.

FAULT DIAMETER OF HYPERCUBES WITH HYBRID NODE AND LINK FAULTS

In this paper we study the fault diameter of the n-dimensional hypercube (or n-cube for short), Qn, for n ≥ 3. Let F be a set of hybrid node-faults and/or link-faults in Qn such that every node of Qn is still connected to at least one fault-free node by a fault-free link. Then we compute the exact diameter of Qn - F for |F| ≤ 2n - 3. As an immediate consequence, our result improves upon those presented by S. Latifi (1993), in which only node-faults were addressed.