The modified Randić index of a graph G is a graph invariant closely related to the classical Randić index, defined as

In property testing, the goal is to distinguish between objects that satisfy some desirable property and objects that are far from satisfying it, after examining only a small, random sample of the object in question. Although much of the literature has focused on properties of graphs, very recently several strong results on hypergraphs have appeared. We revisit a logical result obtained by Alon...

Investigations by some of us (l-3) have been concerned with the demonstration by electrophoresis of mucoproteins in normal and pathological sera. It was found that at least three electrophoretic components were present in crude mucoprotein fractions. More recently, the isolation in electrophoretically homogeneous form of the major mucoprotein component of normal human plasma has been described,...

Line tension of three-phase contact lines is an important physical quantity in understanding many physical processes such as heterogeneous nucleation, soft lithography and behaviours in biomembrane, such as budding, fission and fusion. Although the concept of line tension was proposed as the excess free energy in three-phase coexistence regions a century ago, its microscopic origin is subtle an...

Arylsulfatase was purified 219-fold from Pseudomonas sp. strain C12B. The final preparation was homogeneous by electrophoretic and immunological analysis. The enzyme is a monomer of molecular weight about 51,000, with a Stokes radius of 3.0 X 10(-7) cm, a frictional ratio of 1.2, and a sedimentation coefficient of 4.1S.

Molecular recognition is a process that brings together several biological macromolecules to form a complex and one of the most important characteristics of the process is the binding free energy. Various approaches exist to model the binding free energy, provided the knowledge of the 3D structures of bound and unbound molecules. Among them, continuum approaches are quite appealing due to their...