This work studies cycles in 2-factorizations of $K_n$ (undirected complete graph with n vertices) and gives a complete solution (with three possible exceptions) of the problem of constructing 2-factorizations of $K_n$ containing a specified number of 8-cycles, for both n even and odd.
📌 3 Key Takeaways
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Objective & Hypothesis:This work studies cycles in 2-factorizations of $K_n$ (undirected complete graph with n vertices) and gives a complete solution (with three possible exceptions) of the problem of constructing 2-factorizations of $K_n$ containing a specified number of 8-cycles, for both n even and odd.
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Key Findings & Data:This work studies cycles in 2-factorizations of $K_n$ (undirected complete graph with n vertices) and gives a complete solution (with three possible exceptions) of the problem of constructing 2-factorizations of $K_n$ containing a specified number of 8-cycles, for both n even and odd.
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Conclusion & Impact:This work studies cycles in 2-factorizations of $K_n$ (undirected complete graph with n vertices) and gives a complete solution (with three possible exceptions) of the problem of constructing 2-factorizations of $K_n$ containing a specified number of 8-cycles, for both n even and odd.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
This work studies cycles in 2-factorizations of $K_n$ (undirected complete graph with n vertices) and gives a complete solution (with three possible exceptions) of the problem of constructing 2-factorizations of $K_n$ containing a specified number of 8-cycles, for both n even and odd.
Özet
Bu çalışmada n köşeli tam graflardaki döngüler problemi işlenmekte, tek ve çift köşeli tam graflardaki 8-döngü sayısı problemine (üç olası istisna ile) çözüm verilmektedir.
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Cite This Article
KÜÇÜKÇİFÇİ, S. (2022). Tam grafların özel parçalanışlarındaki döngüler. Anadolu Üniversitesi Bilim ve Teknoloji Dergisi :A-Uygulamalı Bilimler ve Mühendislik, Cilt: 3 - Sayı: 3, 413–419. https://ajindex.com/articles/438484
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