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May-2025
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Journal of Emerging Technologies and Innovative Research ( An International Scholarly Open Access Journal, Peer-reviewed, Refereed, Crossref DOI Journal )
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UGC Approved Journal no 63975(19)
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ISSN: 2349-5162 | ESTD Year : 2014 Volume 12 | Issue 10 | October 2025
New UGC Peer-Reviewed Rules
ISSN: 2349-5162 | ESTD Year : 2014 Volume 12 | Issue 10 | October 2025
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JETIR2505336
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561406
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Title
Verification of counting of lattices
Abstract
In 2013, Bhavale obtained an algorithm for counting of non-isomorphic lattices containing $r$ comparable reducible elements and having nullity $k$. Recently, Aware and Bhavale counted all non-isomorphic lattices on $n$ elements containing up to four comparable reducible elements and having nullity up to three. In this paper, using the algorithm of Bhavale, we obtain in particular formulae of counting of lattices containing four comparable reducible elements and having nullity three. Further, we verify those formulae with the explicit formulae obtained by Aware and Bhavale.
Key Words
Poset; Lattice; Chain; Counting.
Cite This Article
"Verification of counting of lattices", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 5, page no.d30-d40, May-2025, Available :http://www.jetir.org/papers/JETIR2505336.pdf
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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Cite This Article
"Verification of counting of lattices", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 5, page no. ppd30-d40, May-2025, Available at : http://www.jetir.org/papers/JETIR2505336.pdf
Publication Details
Published Paper ID: JETIR2505336
Registration ID: 561406
Published In: Volume 12 | Issue 5 | Year May-2025
Page No: d30-d40
Country: Pune, Maharastra, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR2505336
Published Paper PDF: https://www.jetir.org/papers/JETIR2505336
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