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International Journal for Research Trends and Innovation
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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Volume 10 | Issue 12
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Impact Factor : 8.14
Issue per Year : 12
Volume Published : 10
Issue Published : 115
Article Submitted : 19459
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| Paper Title: | Matrix Representation of the Sierpinski Pentagon Graph: Analyzing Vertices and Edges at Recursion Depth n |
| Authors Name: | Tushar Singh , Dr. Ashish Kumar |
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IJRTI_203245
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| Published Paper Id: | IJRTI2504316 |
| Published In: | Volume 10 Issue 4, April-2025 |
| DOI: | |
| Abstract: | In this paper, we’re taking a look at the Sierpinski Pentagon Graph to figure out how we can show it using matrices. We’re focusing on getting the vertices and edges at different recursion levels ‘n’. The Sierpinski Pentagon is a really cool fractal that comes out through repeating a process over and over, making complex geometric patterns. By using matrix theory, we came up with a clear way to map out the connections in the graph. Our research shows how the number of vertices and edges changes as we go deeper into recursion with it getting way more complex. We also touch on how this work might matter more broadly for network theory and computational geometry, hopefully giving some insight into the basic principles behind fractals and basically we’re trying to wrap our heads around structured recursive systems better and how to visually show them. |
| Keywords: | Sierpinski Pentagon graph, Adjacency Matrix, Incidence matrix, Laplacian Matrix, Recurrence relation. |
| Cite Article: | "Matrix Representation of the Sierpinski Pentagon Graph: Analyzing Vertices and Edges at Recursion Depth n", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 4, page no.d131-d138, April-2025, Available :http://www.ijrti.org/papers/IJRTI2504316.pdf |
| Downloads: | 000337 |
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2504316
Registration ID:203245
Published In: Volume 10 Issue 4, April-2025
DOI (Digital Object Identifier):
Page No: d131-d138 Country: Lucknow, Uttar Pradesh, India Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2504316 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2504316 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
Journal Starting Year (ESTD) : 2016
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