Determining the degree of irregularity a certain molecular structure or network has been key source interest for topologists, but it is also important as provides an insight into features used to guess properties structures. In this article, we are interested in formulating closed forms measures some popular benzenoid systems, such hourglass H (m, n), jagged-rectangular J and triangular T n) systems. We compared our results graphically concluded which system among above listed more irregular...

A graph is regular if all of its vertices have equal degree and otherwise, it an irregular graph. Irregularity topological indices are used for studying irregularly graphs. These in different problems physics, engineering chemistry. Moreover, irregularity molecules useful QSAR/QSPR studies. In this paper, we calculated Sierpinski Graph.

Dendrimers are branched organic macromolecules with successive layers of branch units surrounding a central core. The molecular topology and the irregularity their structure plays role in determining structural properties like enthalpy entropy. Irregularity indices which based on imbalance edges determined for graphs associated some general classes dendrimers. We also provide graphical analysis these above said

Graph theory serves as a valuable tool across numerous scientific disciplines, offering the means to model and analyze intricate networks. In this study, we explore application of distance‐based topological indices variety graphs, including total graph paths, cycles, complete wheel helm Cartesian product K 1 n . We investigate five indices: Wiener index, multiplicative hyper‐Wiener Harary average distance. Through detailed analysis, derive general formulas for these test them on specified...

AbstractAbstractIn the fields of chemical graph theory, molecular topology, and mathematical chemistry, a topological index also known as connectivity is type descriptor that calculated based on compound. In this paper, we computed Hosoya polynomial, Wiener hyper Windmill graph. We Harary Schultz modified polynomial,eccentric generalized index, multiplicative eccentric etc for understudy families graphs.Subject Classification: 05C0705C3505C40Keywords: polynomialHarary polynomialSchultz...

Distance and degree based topological polynomial indices of molecular graphs have various applications in chemistry, computer networking pharmacy. In this paper, we give hosoya polynomial, Harary Schultz modified eccentric connectivity Wiener index, hyper generalized multiplicative index wheel networks Wn,m. We also pictorial representation computed polynomials on the involved parameters m n.

Dendrimers are highly branched organic macromolecules with successive layers of branch units surrounding a central core. Some properties like toxicity, entropy, and heats vaporization these dendrimers can be forecasted using topological indices. The present article is devoted to study irregularity indices three well-known classes dendrimers, namely, nanostar dendrimer D[ p ], fullerene NS 4 [ polymer dendrimerNS 5 where <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"...

In the fields of chemical graph theory, topological index is a type molecular descriptor that calculated based on compound. 1947, Harry Wiener introduced “path number” which now known as and oldest related to branching. Hosoya polynomial plays vital role in determining index. this report, we compute polynomials for hourglass rhombic benzenoid systems recover hyper-Wiener indices from them.

In the fields of chemical graph theory, topological index is a type molecular descriptor that calculated based on compound. 1947, Wiener introduced “path number” which now known as and oldest related to branching. Hosoya polynomial plays vital role in determining index. this report, we computed Harary polynomials for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mi>T</mml:mi><mml:mi>O</mml:mi><mml:mi>X</mml:mi><mml:mo...

There is extremely a great deal of mathematics associated with electrical and electronic engineering. It relies upon what zone engineering; for instance, there much increasingly theoretical in communication theory, signal processing networking, so forth. Systems include hubs speaking one another. A PCs connected together structure system. Mobile phone clients network. Networking includes the investigation most ideal method executing Graph theory has discovered significant use this research....

A well‐known vertex distance–based polynomial is called the Hosoya and closely related to hyper‐Wiener index Wiener index, which are widely used molecular structure descriptors. Nanomaterials materials or compound substances that can be produced utilized at an exceptionally little scale created display novel attributes without nanoscale highlights contrasted with a similarity, such as expanded quality, conductivity, synthetic reactivity. We have computed Harary polynomials for nanotube TUC 4...

Hosoya polynomial is a vertex‐distance based highly consigned with Wiener and hyper‐Wiener index. Nanotubes are the nano scale material which can be used to explain novel attributes like highlights contrasted expanded quality conductivity of material. In this paper, we presented Harary for zigzag polyhex nanotube T U H C 6 . Moreover, some distance‐dependent indices, example, generalized index, modified also computed nanotubes

&lt;p&gt;The concept of being uniform strong interval-valued intuitionistic fuzzy (also termed as USIVIF) is an integration two ideologies, which are called "uniformity" and "strong sets". Inspired by the study on topological indices, it natural to introduce IVIFTIs. Originally, indices were generalized for sets However, utilization provides a finer approach, especially if there multiple uncertainties based intervals. Consequently, both theories imply that not fixed depend certain situations...

Molecular topology provides a basis for the correlation of physical as well chemical properties certain molecule. Irregularity indices are used functions in statistical analysis topological molecular graphs and complex networks, hence help us to correlate like enthalpy, heats vaporization, boiling points etc. with structure. In this article we interested formulating closed forms imbalance-based irregularity measures boron nanotubes. These tubes known α-boron nanotube, triangular nanotubes,...

Arthropods can be either large or too small to seen from the microscope. Their legs are jointed and perform a specific function in soil. Several arthropods have been identified date. Therefore, it is essential identify them different type of An experiment quantify soil urban forests D.G. Khan was conducted at Zoology lab Ghazi University on four tree plants, i.e., neem (Azadirachta indica), mango (Mangifera guava (Psidium guajava), phalsa (Grewia asiatica). Soil samples were taken areas...

The irregularities of graphs and their dependencies on the size parameters are recently attracting attention not only mathematician but also theoretical chemists. It is found that these related with properties substance involved. Cerium oxide a rare-earth metal having formula CeO2 it light yellow-white powder. In present article we concerned computing closed forms irregularity measures general form crystal structure Oxide based mathematical model calculation.

Discovery of smart polymers, SP[n], opens up a new era in the field pharmaceutical and biological therapeutics. These polymers efficiently provide drug delivery systems are engineered to carry specific cargo molecules desired site. Degree-based topological indices polynomials serving as efficient tools mathematical chemistry chemical graph theory gather raw facts which determine physio-chemical properties substance under discussion. First part this article is about computation invariants for...

Abstract Molecular topology is a key to determine the physiochemical aspects of molecular structure. To degree irregularity certain structure or network has been source interest for topologists as it provides an insight features that are used guess properties structures. In this article, we interested in formulating closed forms measures some popular benzenoid systems, namely, zigzag, rhombic, and honeycomb systems. We also compared our results graphically concluded system among above more...

As a special type of factorization finite groups, logarithmic signature (LS) is used as the main component cryptographic keys for secret key cryptosystems such PGM and public like MST1, MST2 MST3. An LS with shortest length, called minimal (MLS), even desirable applications. The MLS conjecture states that every simple group has an MLS. Recently, been shown to be true general linear groups GLn(q), SLn(q), symplectic Spn(q) q power primes orthogonal On(q) 2. In this paper, we present new...

Armyworm, Spodoptera litura is a destructive and polyphagous pest of several crops i.e. agricultural horticultural throughout the world. The present research was performed to check biology efficacy Beauveria bassiana on larvae pupae pests. Eggs were laid lower surface cabbage leaves wall containers in cluster form. colour newly eggs pale white, later changed grey or dark near hatching. average developmental parameters 1st, 2nd, 3rd, 4th 5th larval instar 2.43±0.43, 2.65±0.80, 3.21±0.54,...