Glenoid wear is common in the setting of shoulder arthritis. Severe glenoid erosion presents a serious challenge to the surgeon performing a shoulder arthroplasty. This paper presents the various classification schemes for glenoid erosion. The results of the six main treatment options for shoulder arthroplasty with an eroded glenoid are reviewed. The six treatment options include: 1. eccentric ...

Here we study the normalized Laplacian characteristics polynomial (L-polynomial) for trees and specifically for starlike trees. We describe how the L-polynomial of a tree depends on some topological indices. For which, we also define the higher order general Randić indices for matching and which are different from higher order connectivity indices. Finally we provide the multiplicity of the eig...

The generalized atom-bond connectivity index of a graph G is denoted by ABCa(G) and defined as the sum of weights ((d(u)+d(v)-2)/d(u)d(v))aa$ over all edges uv∊G. A cactus is a graph in which any two cycles have at most one common vertex. In this paper, we compute sharp bounds for  ABCa index for cacti of order $n$ ...

In this paper, we show that in the class of connected graphs G of order n ≥ 3 having girth at least equal to k, 3 ≤ k ≤ n, the unique graph G having minimum general sum-connectivity index χα(G) consists of Ck and n−k pendant vertices adjacent to a unique vertex of Ck, if−1 ≤ α < 0. This property does not hold for zeroth-order general Randić index Rα(G).

Suppose ρ is a simple graph, then its eccentric harmonic index defined as the sum of terms id="M2"> 2 / e a + b for edges id="M3"> v , where id="M4"> eccentricity id="M5"> th vertex graph id="M6"> . ...

Subjecting a muscle to a series of eccentric contractions in which the contracting muscle is lengthened results in a number of changes in its mechanical properties. These include a fall in isometric tension that is particularly pronounced during low-frequency stimulation, a phenomenon known as low-frequency depression (LFD). Reports of LFD have not taken into account the shift in optimum length...

INTRODUCTION Left ventricular geometry is associated with cardiovascular events and prognosis. The Tei index of myocardial performance is a combined index of systolic and diastolic dysfunction and has been shown to be a predictor of cardiovascular outcome in heart diseases. The relationship between the Tei index and left ventricular geometry has not been well studied. This study examined the as...

In this paper, a novel eccentric neighborhood degree-based topological indices, termed Zagreb have been conceptualized and its discriminating power investigated with regard to the predictability of boiling point chemical substances. The indices was compared that Wiener connectivity indices. Some explicit results for those new some graphs graph operations such as join, disjunction, composition, ...

Let Sz(G), Sz(G) and W (G) be the Szeged index, revised Szeged index and Wiener index of a graph G. In this paper, the graphs with the fourth, fifth, sixth and seventh largest Wiener indices among all unicyclic graphs of order n > 10 are characterized; and the graphs with the first, second, third, and fourth largest Wiener indices among all bicyclic graphs are identified. Based on these results...