Results 21 to 30 of about 91 (73)
M-Polynomials and degree-based Topological Indices of Some Families of Convex Polytopes
, 2018 In this article, we compute closed forms of M-polynomial for three general classes of convex polytopes. From the M-polynomial, we derive degree-based topological indices such as first and second Zagreb indices, modified second Zagreb index, Symmetric ...
M. Riaz, Wei Gao, A. Q. Baig
semanticscholar +1 more source
The Minimum Harmonic Index for Unicyclic Graphs with Given Diameter
Discussiones Mathematicae Graph Theory, 2018 The harmonic index of a graph G is defined as the sum of the weights 2d(u)+d(v)${2 \over {d(u) + d(v)}}$ of all edges uv of G, where d(u) denotes the degree of a vertex u in G.
Zhong Lingping
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Injectivity results for coarse homology theories
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1619-1684, December 2020., 2020 Abstract We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class of linear groups or, more generally, groups with finite decomposition complexity.
Ulrich Bunke +3 more
wiley +1 more source
The Smallest Harmonic Index of Trees with Given Maximum Degree
Discussiones Mathematicae Graph Theory, 2018 The harmonic index of a graph G, denoted by H(G), is defined as the sum of weights 2/[d(u) + d(v)] over all edges uv of G, where d(u) denotes the degree of a vertex u. In this paper we establish a lower bound on the harmonic index of a tree T.
Rasi Reza, Sheikholeslami Seyed Mahmoud
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NMR Protein Structure Calculation and Sphere Intersections
Computational and Mathematical Biophysics, 2020 Nuclear Magnetic Resonance (NMR) experiments can be used to calculate 3D protein structures and geometric properties of protein molecules allow us to solve the problem iteratively using a combinatorial method, called Branch-and-Prune (BP).
Lavor Carlile +3 more
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$M$-POLYNOMIALS AND TOPOLOGICAL INDICES OF SILICATE AND OXIDE NETWORKS
, 2017 A topological index is a numeric quantity that characterizes the whole structure of a molecular graph of the chemical compound and helps to understand its physical features, chemical reactivities and boiling activities.
M. Javaid, C. Jung
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Homotopy type of the complex of free factors of a free group
Proceedings of the London Mathematical Society, Volume 121, Issue 6, Page 1737-1765, December 2020., 2020 Abstract We show that the complex of free factors of a free group of rank n⩾2 is homotopy equivalent to a wedge of spheres of dimension n−2. We also prove that for n⩾2, the complement of (unreduced) Outer space in the free splitting complex is homotopy equivalent to the complex of free factor systems and moreover is (n−2)‐connected.
Benjamin Brück, Radhika Gupta
wiley +1 more source
CBSF: A New Empirical Scoring Function for Docking Parameterized by Weights of Neural Network
Computational and Mathematical Biophysics, 2019 A new CBSF empirical scoring function for the estimation of binding energies between proteins and small molecules is proposed in this report. The final score is obtained as a sum of three energy terms calculated using descriptors based on a simple ...
Syrlybaeva Raulia R., Talipov Marat R.
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When products of projections diverge
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 345-367, August 2020., 2020 Abstract Slow convergence of cyclic projections implies divergence of random projections and vice versa. Let L1,L2,⋯,LK be a family of K closed subspaces of a Hilbert space. It is well known that although the cyclic product of the orthogonal projections on these spaces always converges in norm, random products might diverge.
Eva Kopecká
wiley +1 more source
Bounds for The Geometric-Arithmetic Index of a Graph
, 2015 The first geometric-arithmetic index GA1.G/, which was introduced by D. Vukičević and B. Furtula recently, is a graph-based molecular structure descriptor.
J. Sigarreta
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