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Cyclic cycle systems of the complete multipartite graph
Journal of Combinatorial Designs ( IF 0.7 ) Pub Date : 2019-11-20 , DOI: 10.1002/jcd.21688
Andrea Burgess 1 , Francesca Merola 2 , Tommaso Traetta 3
Affiliation  

In this paper, we study the existence problem for cyclic $\ell$-cycle decompositions of the graph $K_m[n]$, the complete multipartite graph with $m$ parts of size $n$, and give necessary and sufficient conditions for their existence in the case that $2\ell \mid (m-1)n$.

中文翻译:

完整多部图的循环系统

在本文中,我们研究了图 $K_m[n]$ 的循环 $\ell$-循环分解的存在问题,该图具有 $m$ 部分的大小为 $n$ 的完整多部图,并给出了在 $2\ell \mid (m-1)n$ 的情况下它们的存在。
更新日期:2019-11-20
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