Abstract This work presents a simple method for partitioning the bond‐additive and atoms‐pair‐additive distance‐based topological indices of plane graphs into sum contributions inner faces. The proposed is applied to decompose several (Wiener, hyper‐Wiener, Tratch‐Stankevich‐Zefirov, Balaban, Szeged indices) ring series benzenoid systems. It was found that employed scheme providing an accurate ...

The Padmakar-Ivan (PI) index is a first-generation topological index (TI) based on sums over all edges between numbers of edges closer to one endpoint and numbers of edges closer to the other endpoint. Edges at equal distances from the two endpoints are ignored. An analogous definition is valid for the Wiener index W, with the difference that sums are replaced by products. A few other TIs are d...

the relationship between the randic , wiener, hosoya , balaban, schultz indices, harary numbers anddistance matrix to enthalpies of formation (airf), heat capacity, (cp) , enthalpies of combustion (ah °c ),enthalpy of vaporization (ah °vap) and normal boiling points (bpk)of c2 c10 normal alkanes isrepresented

QSAR study has been carried out on the MMP-13 inhibitory activity of fused pyrimidine derivatives possessing a1,2,4-triazol-3-yl group as a ZBG in 0D- to 2D-Dragon descriptors. The derived models have revealed that number Sulfur atoms (descriptor nS), Balaban mean square distance index MSD), molecular electrotopological variation DELS), structural information content neighborhood symmetry 2nd a...

Chemical structures of organic compounds are characterized numerically by a variety of structural descriptors computed either from the molecular graph or from the three-dimensional (3D) molecular geometry. Extensive use of such structural descriptors or topological indices has been made in drug design, screening of chemical databases, similarity and diversity assessment, and quantitative struct...

Kim A. Eagle, MD; Geoffrey S. Ginsburg, MD, PhD; Kiran Musunuru, MD, PhD, MPH; William C. Aird, MD; Robert S. Balaban, PhD; Susan K. Bennett, MD; Roger S. Blumenthal, MD; Shaun R. Coughlin, MD, PhD; Karina W. Davidson, PhD; Edward D. Frohlich, MD; Philip Greenland, MD; Gail P. Jarvik, MD, PhD; Peter Libby, MD; Carl J. Pepine, MD; Jeremy N. Ruskin, MD; Arthur E. Stillman, MD, PhD; Jennifer E. Va...

We study the ultraviolet problem for quantum electrodynamics on a three dimensional torus. We start with the lattice gauge theory on a toroidal lattice and seek to control the singularities as the lattice spacing is taken to zero. This is done by following the flow of a sequence of renormalization group transformations. The analysis is facilitated by splitting the space of gauge fields into int...

The following excerpts are from an interview with Marvin Minsky which took place at his home in Brookline, Massachusetts, on January 23rd, 1991. The interview, which is included in its entirety as a Foreword in the book Understanding Music with AI: Perspectives on Music Cognition (edited by Mira Balaban, Kemal Ebcioglu, and Otto Laske), is a conversation about music, its peculiar features as a ...

Kim A. Eagle, MD; Geoffrey S. Ginsburg, MD, PhD; Kiran Musunuru, MD, PhD, MPH; William C. Aird, MD; Robert S. Balaban, PhD; Susan K. Bennett, MD; Roger S. Blumenthal, MD; Shaun R. Coughlin, MD, PhD; Karina W. Davidson, PhD; Edward D. Frohlich, MD; Philip Greenland, MD; Gail P. Jarvik, MD, PhD; Peter Libby, MD; Carl J. Pepine, MD; Jeremy N. Ruskin, MD; Arthur E. Stillman, MD, PhD; Jennifer E. Va...