Results 21 to 30 of about 631,800 (281)

Linear representation of graphs: applications to molecular graphs

open access: yesMatch - Communications in Mathematical and in Computer Chemistry, 2022
Abstract In this article we build a linear representation starting from a multigraph; this allows us to give an algebraic view of the multi-graph we are studying. We show that two isomorphic multi-graphs give equivalent representations ; conversely two equivalent representations give isomorphic multigraphs.
Ashrafi, Ali   +2 more
openaire   +4 more sources

Bicyclic molecular graphs with the greatest energy [PDF]

open access: yesJournal of the Serbian Chemical Society, 2008
The molecular graph Qn is obtained by attaching hexagons to the end vertices of the path graph Pn-12. Earlier empirical studies indicated that Qn has greatest energy among all bicyclic n-vertex (molecular) graphs.
Furtula Boris   +2 more
doaj   +3 more sources

Network theory approach for data evaluation in the dynamic force spectroscopy of biomolecular interactions [PDF]

open access: yes, 2009
Investigations of molecular bonds between single molecules and molecular complexes by the dynamic force spectroscopy are subject to large fluctuations at nanoscale and possible other aspecific binding, which mask the experimental output.
B. Tadić   +10 more
core   +3 more sources

Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs

open access: yesJournal of Chemistry, 2022
The application of graph theory in the study of molecular physical and chemical properties involves theoretical mathematical chemistry. Atoms, represented by vertices, and edges, represented by bonds between them, are detailed in simple graphs called ...
Iftikhar Ahmad   +4 more
doaj   +1 more source

Graph neural networks accelerated molecular dynamics

open access: yesThe Journal of Chemical Physics, 2022
Molecular Dynamics (MD) simulation is a powerful tool for understanding the dynamics and structure of matter. Since the resolution of MD is atomic-scale, achieving long timescale simulations with femtosecond integration is very expensive. In each MD step, numerous iterative computations are performed to calculate energy based on different types of ...
Zijie Li   +3 more
openaire   +3 more sources

Molecular Properties of Symmetrical Networks Using Topological Polynomials

open access: yesOpen Chemistry, 2019
A numeric quantity that comprehend characteristics of molecular graph Γ of chemical compound is known as topological index. This number is, in fact, invariant with respect to symmetry properties of molecular graph Γ.
Wang Xing-Long   +5 more
doaj   +1 more source

Computing Analysis of Zagreb Indices for Generalized Sum Graphs under Strong Product

open access: yesJournal of Chemistry, 2021
Numerous studies based on mathematical models and tools indicate that there is a strong inherent relationship between the chemical properties of the chemical compounds and drugs with their molecular structures.
Muhammad Javaid   +3 more
doaj   +1 more source

The Graovac-Pisanski index of a connected bipartite graph is an integer number [PDF]

open access: yes, 2017
The Graovac-Pisanski index, also called the modified Wiener index, was introduced in 1991 and represents an extension of the original Wiener index, because it considers beside the distances in a graph also its symmetries.
Knor, Martin   +3 more
core   +3 more sources

Target-Aware Molecular Graph Generation

open access: yes, 2023
Generating molecules with desired biological activities has attracted growing attention in drug discovery. Previous molecular generation models are designed as chemocentric methods that hardly consider the drug-target interaction, limiting their practical applications.
Tan, Cheng, Gao, Zhangyang, Li, Stan Z.
openaire   +2 more sources

The Wiener polarity index of benzenoid systems and nanotubes [PDF]

open access: yes, 2017
In this paper, we consider a molecular descriptor called the Wiener polarity index, which is defined as the number of unordered pairs of vertices at distance three in a graph.
Tratnik, Niko
core   +3 more sources

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