English

Identifying Codes in the Complementary Prism of Cycles

Combinatorics 2015-07-20 v1

Abstract

We show that an identifying code of minimum order in the complementary prism of a cycle of order nn has order 7n/9+Θ(1)7n/9+\Theta(1). Furthermore, we observe that the clique-width of the complementary prism of a graph of clique-width kk is at most 4k4k, and discuss some algorithmic consequences.

Keywords

Cite

@article{arxiv.1507.05083,
  title  = {Identifying Codes in the Complementary Prism of Cycles},
  author = {Marcia R. Cappelle and Erika M. M. Coelho and Hebert Coelho and Lucia D. Penso and Dieter Rautenbach},
  journal= {arXiv preprint arXiv:1507.05083},
  year   = {2015}
}
R2 v1 2026-06-22T10:14:09.500Z