Let G be a simple connected graph and {v_1,v_2,..., v_k} be the set of pendent (vertices of degree one) vertices of G. The reduced distance matrix of G is a square matrix whose (i,j)-entry is the topological distance between v_i and v_j of G. In this paper, we compute the spectrum of the reduced distance matrix of the generalized Bethe trees.

  Nonspecific activity-related arm pain is characterized by an absence of objective physical findings and symptoms that do not correspond with objective pathophysiology. Arm pain without strict diagnosis is often related to activity, work-related activity in particular, and is often seen in patients with physically demanding work. Psychological factors such as catastrophic thinking, symptoms of...

The atom-bond connectivity (ABC) index of a graph ( , ) G V E is defined as ( ) [ ( ) ( ) 2] / [ ( ) ( )] uv E ABC G d u d v d u d v , where ( ) d u denotes the degree of vertex u of G . This recently introduced molecular structure descriptor found interesting applications in the study of the thermodynamic stability of acyclic saturated hydrocarbons, and the strain energy of their cyclic congen...

introduction: in order to make a dimensional proportion between human and equipment or environment, anthropometric data bank is essential. anthropometry has an important role in industrial management and ergonomic design. this information is needed to be collected regularly in every society. the purpose of this study was to determine arm length to height ratio according to gender in adults, bet...

Heliconia is one of the important emerging exotic specialty cut flowers which gaining importance in Indian markets and used as a flower, floral decoration, beautifying gardens. We carried out field experiment at Horticultural Research Station, Pechiparai, Kanyakumari to evaluate performance pendent genotypes based on growth characteristics. The results revealed that among eight evaluated, H. ch...

We have synthesized a series of new terfluorene derivatives, and investigated their novel fluorescence emission behaviors. We have demonstrated a new intramolecular through-space charge transfer emission experimentally and theoretically. This is the first report on spiroconjugation-like caused fluorescence emission, which could be tuned by the electron nature of pendent groups without changing ...

A fluorenyl (Fl) tethered diamine was synthesised by nucleophilic substitution of (bromoethyl)fluorene with a diisopropylphenyl (Dipp) substituted diamine to give FlC2H4N(H)C2H4N(H)Dipp (1a) in good yield (85%). Lithiation of 1a with n-BuLi proceeded with coordination of the Li cation to the aromatic fluorenide ring (2), and with subsequent equivalents of n-BuLi, the secondary amines were then ...