Research & Reviews: Discrete Mathematical Structures
Volume 10, Issue 2 (2023)
Published
Table of contents
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Integer Cordial Labeling in context of Ring sum of Graphs
Abstract: An Integer Cordial Labeling of a graph G*(p, q) is an one-one map g: V * or as p is even or odd, which induces an edge labeling defined by such that the number of edges labeled 1 and the number of edges labeled 0 differ by at most 1. If a graph has integer cordial labeling (I.C.L.), then it is called integer cordial graph (I.C.G.). In this paper, I …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 Read article
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Applications of Mathematical Modelling for Sustainable Development
Abstract: Sustainable development is an urgent global challenge that requires innovative solutions to address complex socio-environmental challenges while ensuring the well-being of current and future generations. Mathematical modelling has evolved into an indispensable tool, providing valuable insights for comprehending, evaluating, and enhancing systems across diverse domains. By harnessing the power of mathematical modelling, we can support the transformative changes needed to build a sustainable future. In this paper, I examine the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 1–5 Read article
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Defining Regression Polynomials with Process Similarity Criteria
Abstract: Highly accurate monitoring and prediction is essential in detecting abnormality events and forecasting demands in supply chains. This investigation provides a computational procedure for defining polynomials that satisfy similarity criteria in the monitoring process for a polynomial of any degree. It provides an example of using algorithms to predict transient thermal processes in electronic devices. The second-degree polynomial defined with this algorithm is compared with a polynomial defined using a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 13–20 Read article
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A Comprehensive Review of Mathematical Modelling using Graphs
Abstract: This article provides a detailed insight into the applications and methods of mathematical modeling using graphs. Graph theory has proven to be a powerful tool for representing and analyzing complex systems in diverse fields such as computer science, social networks, transportation, biology, etc. This paper covers the importance of graph theory for solving real-world problems. Mathematical modeling using graph theory includes graphical representations, algorithms, and their applications in network analysis, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 28–34 Read article
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Lucas Divisor Cordial labeling of various graphs
Abstract: In this we found six new graphs families satisfying the condition of Lucas divisor cordial labeling. We prove that Shadow of star graph is Lucas divisor cordial. We prove that Degree splitting of star graph is Lucas divisor cordial. We prove that Jewel graph Jn is Lucas divisor cordial. And we prove that Globe graph Gln is Lucas divisor cordial. Further we prove that K1, 1, n is Lucas divisor …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 6–12 Read article