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arXiv 1507.05083math.CO
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圈的互补棱柱中的码识别

Identifying Codes in the Complementary Prism of Cycles

Marcia R. Cappelle, Erika M. M. Coelho, Hebert Coelho, Lucia D. Penso, Dieter Rautenbach

摘要:

证明了在$n$阶循环的互补棱柱中的最小阶识别码具有$7n/9+Θ(1)$阶.此外,我们还观察到,一个图的互补棱镜宽度至多为$k$,并讨论了一些算法的结果。

英文摘要:

We show that an identifying code of minimum order in the complementary prism of a cycle of order $n$ has order $7n/9+Θ(1)$. Furthermore, we observe that the clique-width of the complementary prism of a graph of clique-width $k$ is at most $4k$, and discuss some algorithmic consequences.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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