A topological index of graph G is a numerical quantity which describes its topology. If it applied to molecular structure chemical compounds then reflects the theoretical properties compounds. In this article, well-known degree based indices are on structures medicine used for treatment breast cancer. Chemical considered as graph, where elements taken vertices and bounds between them edges. Further, QSPR analysis said discussed shown that these highly correlated with physical

Entropy is a thermodynamic function in physics that measures the randomness and disorder of molecules particular system or process based on diversity configurations might take. Distance-based entropy used to address wide range problems domains mathematics, biology, chemical graph theory, organic inorganic chemistry, other disciplines. We explain basic applications distance-based phenomena. These include signal processing, structural studies crystals, molecular ensembles, quantifying...

Entropy is a thermodynamic function in chemistry that reflects the randomness and disorder of molecules particular system or process based on number alternative configurations accessible to them. Distance-based entropy used solve variety difficulties biology, chemical graph theory, organic inorganic chemistry, other fields. In this article, characterization crystal structure niobium oxide metal-organic framework investigated. We also use information compute entropies by building these...

<abstract><p>The approximate controllability of a class fractional stochastic evolution equations (FSEEs) are discussed in this study utilizes the Hilbert space by using Hilfer derivative. For different approaches, we remove Lipschitz or compactness conditions and merely have to assume weak growth requirement. The fixed point theorem, diagonal argument, approximation methods serve as foundation for study. abstract theory is demonstrated an example. A conclusion given at...

Corona virus cause diseases ranging from the common cold to Severe Acute Respiratory Syndrome (SARS). Several therapeutic agents have been evaluated for treatment of Covid-19, but none yet shown be efficacious. Remdesivir Gilead Sciences number (GS-5734), an inhibitor viral RNA-dependent, RNA polymerase with inhibitory activity against SARS-CoV and Middle East respiratory syndrome (MERS-CoV), was identified early as a promising candidate Covid-19 because its ability inhibit SARS-CoV-2...

Cheminformatics is a modern field of chemistry information science and mathematics that very much helpful in keeping the data getting about chemicals. A new two-dimensional carbon known as diphenylene was identified synthesized. It considered one materials have many applications most fields such catalysis. The number spanning trees graph G, also complexity denoted by τ(G), an important, well-studied quantity theory, appears applications. In this paper, we introduce chemical compound chain...

The threat of developing a cancer therapy has been there for the past two to three decades. Almost 10 million people worldwide are affected by this illness each year. Anticancer medications those that used treat cancer, malignant condition. These anticancer come in variety types, such as hormones, antimetabolites, and alkalizing agents. Numerous studies demonstrate close relationship between chemical structure drugs alkane characteristics including boiling, melting, enthalpy. Some antiviral...

In this paper, disconnected multi-effect domination is discussed, a new model in graphs introduced . Let finite, simple, nontrivial, and undirected graph without isolated vertex. A dominating subset set if for every vertex , ((2and subgraph. The minimum cardinality over all sets the number of denoted by work some generated corona operation will be studied.

This special issue of “Applied Discrete Mathematics, Combinatorics, Cryptography, Computer Science and Computation”, presents a selection cutting-edge research in the fields cryptography, algebra, module theory. These areas continue to evolve provide foundational insights for modern technology, particularly realms secure communication mathematical modeling.

In this article, we dive into the metric dimension of various lattice networks, focusing on Bakelite, Backbone DNA, and Polythiophene networks. The is a crucial graph invariant that helps us understand how uniquely can identify vertices in network. Our detailed analysis calculations reveal for Polythiophene, DNA networks consistently two. This means that, within these structures, simple pair enough to pinpoint location all other vertices. These insights shed light structural properties...

If the distances between two vertices in a simple connected network are different, then vertex x resolves pair u and v. A set S of G is referred to as resolving if every distinct can be identified by at least one S. The metric dimension (MD) minimum number required for set. Moreover, an edge generator any subset that distinguish edges, e1 e2, according their respective distances. An (EMD), dime(G), size. This study aims explore (EMD) H-Naphthalenic Nanotube.

In molecular topology and chemistry, resolving sets metric bases are essential concepts. They have numerous applications in computer science, artificial intelligence, pharmacy, traffic networking, mathematical modeling, programming. Adivision S of the vertex set χ a linked graph G is said to resolve if eachpoint can be represented from its neighborhood S. A dimension number smallest set, also known as basis graph.In current research we will determine circumcoronene series CS benzenoid Hk for...

Background: In mathematical chemistry (particularly in chemical graph theory), reverse degree-based topological indices provide good correlations with respect to both and perspectives for the prediction of biological activities diverse nature a variety relationships between physical, chemical, thermodynamic parameters. Objective: The main aim this study is polynomial, along its corresponding indices. objective methodology estimate physical properties specific molecular parameters through an...

Dendrimers are constructed by the successive addition of layers branching groups. Topological indices numerical numbers associated which graph invariant up to isomorphism. In this report, we give closed form M-polynomial PETAA dendrimers and from M-polynomial, recover many topological indices. These help predict physcio-chemical properties underling dendrimers, study materials ship building. We also graphical representation our results.

Chemical graph theory is a branch of mathematical chemistry which has an important outcome on the development chemical sciences. A produced from some molecular structure by applying graphical operations. The demonstration compounds and networks with M-polynomials new idea M-polynomial different structures supports us to calculate many topological indices.A index numeric quantity that describes whole compound understand its physical features, reactivates boiling activities. In this paper, we...

Topological indices are numerical parameters associated with underlying topology of a molecular structure. They correlated several physio-chemical properties chemical compounds. Recently, Euclidean metric based topological index has been introduced named as Sombor index. Therefore, in this article, we will discuss combinatorial aspects and compute index, average the reduced line graph silicate carbides Si2C3-I[p, q].

Networks plays an important role in the field of engineering and topological indices can help us to get interesting properties if underlined networks. With indices, one understand topology differentiate different The aim this paper is study Generalized prism network which very for researchers working physics engineering. We computed several degree-based example, sum connectivity index, Arithmetic-Geometric modified Randić, SK SK1 SK2.

Mathematical topological characterization of chemical graphs gives information about some physical properties molecules. Classical degree based indices copper oxide have been recently calculated. Ve-degree and Ev-degree newly defined in graph theory. In this study we investigate ve-degree oxide. We calculate Zagreb Randić

The numerical encoding of chemical structure with topological indices is currently growing in graph theory. An important aspect these related the prediction characteristic given by molecule. This paper utilizing a specific developed method, named M-polynomial, to calculate silicate network. We also plot indices.

In this article we discuss the reverse degree based topological indices for planar metal-organic networks like transition metal (TM) of three-dimensional series such as: Ti, V, Cr, …, or Zn, phthalocyanine, and tetracyanobenzene (TCNB) as free-standing sheets. distinction, TM-TCNB are metallic at least in one revolutionary orientation demonstrate long-range ferromagnetic connect case magnetic erection, which illustrate ideal entrant a stimulating prospect unequaled applications spintronics....

In this article, we recover many degree-based topological invariants using their formulas given in table [1] of Bismuth Tri-iodide by its M-polynomial. The M-polynomial is a new phenomenon which can easily compute molecular graph. This very well-known fact that play key role deciding chemical compound properties. Graphical analysis the findings also displayed.

A topological index is a numerical parameter that derived mathematically from graph structure. In chemical theory, these indices are used to quantify the properties of compounds. We compute first and second temperature, hyper temperature indices, sum connectivity index, product reciprocal F molecular silicate network chain network. Furthermore, QSPR study key provided, it demonstrated substantially linked with physicochemical features COVID-19 medicines. This theoretical method find may help...

Entropy is a measure of system's molecular disorder or unpredictability since work produced by organized motion. Shannon's entropy metric applied to represent random graph's variability. thermodynamic function in physics that, based on the variety possible configurations for molecules take, describes randomness and given system process. Numerous issues fields mathematics, biology, chemical graph theory, organic inorganic chemistry, other disciplines are resolved using distance-based entropy....

Topological indices are indispensable tools for analyzing networks to understand the underlying topology of these networks. Spiking neural network architecture (SpiNNaker or TSNN) is a million-core calculating engine which aims at simulating behavior aggregates up billion neurons in real time. Tickysim timing-based simulator interchip interconnection SpiNNaker architecture. spiking considered be highly symmetrical classes. Classical degree-based topological properties have been recently...

The connection of Zagreb polynomials and indices to chemical graph theory is a bifurcation mathematical chemistry, which has had crucial influence on the development sciences. Nowadays, study topological become vast effective research area in theory. In this article, we add up eight different for Silicate Network Chain Network. From these polynomials, catch degree-based indices. We also provide graphical representation outcome that describes dependence given parameters polynomial structure.