Some Indices over a New Algebraic Graph

Özalan, Nurten Urlu

doi:10.1155/2021/5510384

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…For any two submonoids SM 1 and SM 2 of the monoid M, let us assume that the Bruck-Reilly extension ( , ) (2). With this approach, a connection will be established between idealization and this new semigroup since the operation given in (2) and used in (3) has the same meaning as (1) in the definition of idealization.…”

Section: A New Semigroup Via Bruck-reilly Operationmentioning

confidence: 99%

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Idealization of a Semigroup by Using Bruck-Reilly Monoids

Wazzan,

Ozalan

2024

Contemp. Math.

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The aim of this paper is to create a new semigroup by defining a special idealization operation on semigroups. Additionally, by considering amalgamation, we will present novel distinguishing results on idealization over semigroups. Initially, we will combine the definitions of idealization and the Bruck-Reilly extension. Consequently, by integrating these two structures, we will provide a significant result on idealization in semigroups that will be crucial for future studies. Finally, we will conclude by discussing the ideal extension for the new semigroup structure, namely idealization.

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Section: A New Semigroup Via Bruck-reilly Operationmentioning

confidence: 99%

“…Additionally, when we view extensions as a means of combining known structures to create a new structure, this approach yields similar benefits in a distinct and effective manner. As an illustrative example, in [1][2][3], the authors introduced a new semigroup called  and characterized it by extensively studying its properties.…”

Section: Introductionmentioning

confidence: 99%

Idealization of a Semigroup by Using Bruck-Reilly Monoids

Wazzan,

Ozalan

2024

Contemp. Math.

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New Versions of Locating Indices and Their Significance in Predicting the Physicochemical Properties of Benzenoid Hydrocarbons

Wazzan

Alwardi

2022

Symmetry

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In this paper, we introduce some new versions based on the locating vectors named locating indices. In particular, Hyper locating indices, Randić locating index, and Sambor locating index. The exact formulae for these indices of some well-known families of graphs and for the Helm graph are derived. Moreover, we determine the importance of these locating indices for 11 benzenoid hydrocarbons. Furthermore, we show that these new versions of locating indices have a reasonable correlation using linear regression with physicochemical characteristics such as molar entropy, acentric factor, boiling point, complexity, octanol–water partition coefficient, and Kovats retention index. The cases in which good correlations were obtained suggested the validity of the calculated topological indices to be further used to predict the physicochemical properties of much more complicated chemical compounds.

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Unveiling novel eccentric neighborhood forgotten indices for graphs and gaph operations: A comprehensive exploration of boiling point prediction

Wazzan,

Ahmed

2024

MATH

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<abstract><p>This paper marks a significant advancement in the field of chemoinformatics with the introduction of two novel topological indices: the forgotten eccentric neighborhood index (FENI) and the modified forgotten eccentric neighborhood index (MFENI). Uniquely developed for predicting the boiling points of various chemical substances, these indices offer groundbreaking tools in understanding and interpreting the thermal properties of compounds. The distinctiveness of our study lies in the in-depth exploration of the discriminative capabilities of FENI and MFENI. Unlike existing indices, they provide a nuanced capture of structural features essential for determining boiling points, a key factor in drug design and chemical analysis. Our comprehensive analyses demonstrate the superior predictive power of FENI and MFENI, highlighting their exceptional potential as innovative tools in the realms of chemoinformatics and pharmaceutical research. Furthermore, this study conducts an extensive investigation into their various properties. We present explicit results on the behavior of these indices in relation to diverse graph types and operations, including join, disjunction, composition and symmetric difference. These findings not only deepen our understanding of FENI and MFENI but also establish their practical versatility across a spectrum of chemical and pharmaceutical applications. Thus the introduction of FENI and MFENI represents a pivotal step forward in the predictive analysis of boiling points, setting a new standard in the field and opening avenues for future research advancements.</p></abstract>

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Some Indices over a New Algebraic Graph

Abstract: In this paper, we first introduce a new graph Γ N over an extension N of semigroups and after that we study and characterize the spectral properties such as the diameter, girth, maximum and minimum degre… Show more

Cited by 3 publications

References 17 publications

Idealization of a Semigroup by Using Bruck-Reilly Monoids

Idealization of a Semigroup by Using Bruck-Reilly Monoids

New Versions of Locating Indices and Their Significance in Predicting the Physicochemical Properties of Benzenoid Hydrocarbons

Unveiling novel eccentric neighborhood forgotten indices for graphs and gaph operations: A comprehensive exploration of boiling point prediction

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