The eccentricity of a vertex is the maximum distance from it to another vertex and the average eccentricity ecc (G) of a graph G is the mean value of eccentricities of all vertices of G. The harmonic index H (G) of a graph G is defined as the sum of 2 di+dj over all edges vivj of G, where di denotes the degree of a vertex vi in G. In this paper, we determine the unique tree with minimum average...

This paper is devoted to the problem of rejecting oscillatory position-dependent disturbances with unknown frequency and unknown amplitude. The considered disturbances are here assumed to be produced by eccentricity in mechanical systems and drives. Most of the previous works on eccentricity cancellation assume a time-depending oscillation, we instead assume that the oscillatory disturbance is ...

in this paper, we calculate the eccentric connectivity index and the eccentricity sequence of two infinite classes of fullerenes with 50 + 10k and 60 + 12k (k in n) carbon atoms.

The eccentricity of a node in a graph is defined as the length of a longest shortest path starting at that node. The eccentricity distribution over all nodes is a relevant descriptive property of the graph, and its extreme values allow the derivation of measures such as the radius, diameter, center and periphery of the graph. This paper describes two new methods for computing the eccentricity d...

The eccentricity distribution of exoplanets is known from radial velocity surveys to be divergent from circular orbits beyond 0.1 au. This is particularly the case for large planets where the radial velocity technique is most sensitive. The eccentricity of planetary orbits can have a large effect on the transit probability and subsequently the planet yield of transit surveys. The Kepler mission...

We consider the problem of constructing a multicast tree that connects a group of source nodes to a group of sink nodes (receivers) and minimizes the maximum end-to-end delay between any pair of source/sink nodes. This is known as the minimum eccentricity multicast tree problem, and is directly related to the quality of service requirements of real multipoint applications. We deal directly with...

Abstract An automatic ball balancer (ABB) is a device that used to automatically balance eccentric rotors. The main principle of working such based on the self-synchronization phenomenon. It typically in rotary machines with unknown or variable imbalances. balancing process requires an ABB unit be installed rotor axis; thus, its application very limited and usually comes redesign machine. This ...

A multiphysics asynchronous electric machine model based on the angular approach is developed in this paper by adding interaction between Unbalanced Magnetic Pull and rotor center radial displacements to reinforce electro-magneto-mechanic fields couplings. The novelty of proposed lies also calculating instantaneous speed shaft therefore tackling problems non-stationary operating conditions. Thi...

This paper presents adaptive algorithms to compensate roll eccentricity perturbations in web transport systems. Roll eccentricity creates tension disturbances whose frequencies may be slowly varying due to the change of radius of the roll. The magnitude and phase of these perturbations are estimated through an adaptive algorithm that cancels the effect of these perturbations. The ability of the...