Journal of Informatics and Mathematical Sciences

Investigating some novel closed neighborhood topological indices of nanostructures

2025-05-06T06:42:47+00:00

Chemical graph theory plays an essential role in mathematical chemistry by representing
chemical compounds as molecular graphs and utilizing graph-theoretical methods to analyze
them. Topological indices (TIs) are numerical parameters that describe the structure of a
molecular graph. In this work, we introduced newly defined seven closed neighborhood topo-
logical indices and compute the same for some standard classes of graphs. Later we examine
these indices with some physical properties of octane isomers. Our indices exhibits highly
correlation with acentric factor of octane isomers. Additionally we derive the expression for
seven TI's of TUC4C8(R)[p; q] nanostructures as well as subdivision graph and the line graph
of the subdivision graph of TUC4C8(R)[p; q] nanostructures.

Computation of Modified Möbius Indices of Some Oxide and Silicate Related Networks

2025-04-16T11:06:49+00:00

Topological indices describes the topology of chemical graphs in terms of mathematical expressions to comprehend both physical and chemical features of the compounds involved. The scientific study of chemical graphs is a significant discipline in the applied mathematics to support the ideas evolved with respect to chemical graphs by means of different topological indices. The specific formulations of recently designated degree-based adapted Möbius indices have been determined in this piece through evaluating a number of oxide and silicate networks as well as their various variations.

Revan Index, PI Index and Revan Weighted PI Index of Möbius Function Graphs: A Comparative Study

2025-05-07T04:28:49+00:00

In mathematical chemistry and graph theory, topological indices help in understanding
the structure of molecular graphs. Recently, the M¨obius function graph of a finite group
has become a topic of interest due to its connections to algebra and topology. Despite
their importance, the topological indices ofM¨obius function graphs have received relatively
little attention. In this paper, we calculate and investigate the relationships between certain
degree- and distance-based topological indices, including the Revan index, the PI index,
and the Revan weighted PI index, for the M¨obius function graphs of finite groups.

Some Neutrosophic Ideals of BF-algebras

2025-05-01T06:24:01+00:00

In this paper, we introduce the notions of neutrosophic ideal and neutrosophic subalgebra of BF-algebra with suitable illustrations. Further, we discuss homomorphism and epimorphism mappings of neutrosophic ideals. Also, we introduce the definitions of a neutrosophic implicative ideal and a neutrosophic ideal of BF-algebras and investigate some of their properties.

Chebyshev Collocation Method for Solving Caputo Fractional Interface Problem

2025-06-15T12:14:59+00:00

In this study a collocation strategy for the solution of the fractional interface problem is proposed. The spatial derivatives are computed using interpolation with Chebyshev functions. We elaborate the analysis that leads to an a priori error estimation. Different numerical examples are presented to show the applicability and effectiveness of the developed approach.

Supersubdivision in the Context of AUM Block Labeling for Coconut tree and Double Coconut tree Graph

2025-04-06T17:21:58+00:00

Uniqueness of two transcendental meromorphic functions whose differential polynomials share the value 1

2025-05-12T07:24:09+00:00

In 2018, Tao and Wang [Uniqueness of meromorphic functions whose differential polynomials share one value, Journal of Applied Mathematics and Physics, 6,(2018),2264-2272] proved a uniqueness theorem of meromorphic functions whose, some nonlinear differential shares 1 IM with powers of the meromorphic functions. In this paper we improve their results by introducing another transcendental meromorphic function. We prove uniqueness theorem of differential polynomials of two transcendental meromorphic functions whose, some nonlinear differential shares 1 IM with powers of the meromorphic functions, where the degrees of the powers are equal to those of the nonlinear differential polynomials.

Applications of Artificial Intelligence in the Designing of Civil Megastructures

2025-06-05T06:58:39+00:00

Civil megastructures, such as skyscrapers, long-span bridges, and large-scale infrastructure projects, represent the pinnacle of engineering innovation, requiring precision, efficiency, and sustainability in their design and construction. The integration of artificial intelligence (AI) into civil engineering has revolutionized the design process, enabling unprecedented levels of optimization, safety, and sustainability. This paper explores the multifaceted applications of AI in the design of civil megastructures, including structural analysis, generative design, construction automation, and risk assessment. By leveraging machine learning, deep learning, and other AI-driven methodologies, engineers can address complex challenges, enhance project outcomes, and push the boundaries of modern civil engineering. This comprehensive analysis highlights the transformative potential of AI, offering insights into its current applications, challenges, and future directions in the design of megastructures