Exploring the Interplay between Graph Theory and Algebraic Structures

Exploring the Interplay between Graph Theory and Algebraic Structures

Registration ID: IJNRD_222504

Published ID: IJNRD2405713

DOI: Click Here to Get

BINOOP KUMAR C A , ANOOP KUMAR C A

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.

Published Paper   E-Certificate

"Exploring the Interplay between Graph Theory and Algebraic Structures", IJNRD - INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (www.IJNRD.org), ISSN:2456-4184, Vol.9, Issue 5, page no.g963-g967, May-2024, Available :https://ijnrd.org/papers/IJNRD2405713.pdf

Volume 9 Issue 5, May-2024

Pages : g963-g967

Paper Reg. ID: IJNRD_222504

Published Paper Id: IJNRD2405713

Downloads: 000121191

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

Journal Name: INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT(IJNRD)

ISSN: 2456-4184 | IMPACT FACTOR: 8.76 Calculated By Google Scholar | ESTD YEAR: 2016

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.76 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Publisher: IJNRD (IJ Publication) Janvi Wave

This work is licensed under a Creative Commons Attribution 4.0 International License and The Open Definition

Call For Paper - Volume 10 | Issue 8 | August 2025

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INTERNATIONAL JOURNAL OF NOVEL RESEARCH AND DEVELOPMENT (IJNRD) aims to explore advances in research pertaining to applied, theoretical and experimental Technological studies. The goal is to promote scientific information interchange between researchers, developers, engineers, students, and practitioners working in and around the world. IJNRD will provide an opportunity for practitioners and educators of engineering field to exchange research evidence, models of best practice and innovative ideas.

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Current Issue: Volume 10 | Issue 8

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