Paper Title
Exploring the Interplay between Graph Theory and Algebraic Structures
Article Identifiers
Authors
BINOOP KUMAR C A , ANOOP KUMAR C A
Keywords
Abstract
Graph theory and algebraic structures are two distinct yet interconnected fields in mathematics. This research paper aims to investigate the profound relationship between these two domains and explore the applications and implications of their fusion. By delving into the algebraic properties of graphs and the graphical representations of algebraic structures, we uncover a rich tapestry of mathematical concepts and techniques. The paper examines the fundamental concepts of graph theory, including vertices, edges, connectivity, and graph invariants, and their connections to algebraic notions such as groups, rings, and fields. Additionally, it explores the role of graph theory in the study of algebraic structures, including the representation of algebraic objects as graphs and the use of graph-theoretic tools in solving algebraic problems. Furthermore, the paper discusses the applications of this interdisciplinary approach in various fields, including computer science, chemistry, physics, and social networks. By bridging the gap between graph theory and algebraic structures, this research contributes to a deeper understanding of mathematical concepts and their practical applications.
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How To Cite (APA)
BINOOP KUMAR C A & ANOOP KUMAR C A (May-2024). Exploring the Interplay between Graph Theory and Algebraic Structures. INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT, 9(5), g963-g967. https://ijnrd.org/papers/IJNRD2405713.pdf
Issue
Volume 9 Issue 5, May-2024
Pages : g963-g967
Other Publication Details
Paper Reg. ID: IJNRD_222504
Published Paper Id: IJNRD2405713
Downloads: 000121987
Research Area: Mathematics
Country: PALAKKAD, KERALA, India
Published Paper PDF: https://ijnrd.org/papers/IJNRD2405713.pdf
Published Paper URL: https://ijnrd.org/viewpaperforall?paper=IJNRD2405713
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Journal Name: INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT(IJNRD)
ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016
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This work is licensed under a Creative Commons Attribution 4.0 International License and The Open Definition
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