论文标题

$ k_v $的复杂分解分解

Complex uniformly resolvable decompositions of $K_v$

论文作者

Bujtàs, Csilla, Gionfriddo, Mario, Guardo, Elena, Milazzo, Lorenzo, Milici, Salvatore, Tuza, Zsolt

论文摘要

在本文中,我们考虑了整个图形$ k_v $在子图中的复杂分解的分解分解,以使每个分辨率类仅包含来自给定的$ \ MATHCAL H $的同一图的同构块。我们完全确定$ \ MATHCAL {H} = \ {K_2,P_3,K_3 \} $,$ \ MATHCAL {

In this paper we consider the complex uniformly resolvable decompositions of the complete graph $K_v$ into subgraphs such that each resolution class contains only blocks isomorphic to the same graph from a given set $\mathcal H$. We completely determine the spectrum for the cases $\mathcal{H} = \{K_2, P_3, K_3\}$, $\mathcal{H} = \{P_4, C_4\}$, and $\mathcal{H} = \{K_2, P_4, C_4\}$.

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