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Linear representation of graphs: applications to molecular graphs
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
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Bicyclic molecular graphs with the greatest energy [PDF]
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]
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
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Molecular Descriptors on Line Graphs of Cactus Chains and Rooted Products Graphs
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
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
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
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]
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
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]
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

