On domination of Cartesian product of directed cycles
type: Dataset
description: Let $\gamma(C_m\Box C_n)$ be the domination number of the Cartesian product of directed cycles $C_m$ and $C_n$ for $m,n\geq2$. Shaheen [] and Liu and al.[ ], [ ] determined the value of $\gamma(C_m\Box C_n)$ when $m \leq 6$ and when both $m$ and $n$ $\equiv 0$ $(mod\: 3)$. In this article we give, in general, the value of $\gamma(C_m\Box C_n)$ when $m\equiv 2$ $(mod\: 3)$ and improve the known lower bound for most of the remaining cases. We also disprove the conjectured formula for the case $m$ $\equiv 0$ $(mod\: 3)$ appearing in \cite{}
issued: 2026-05-17T07:25:16.128887
language: en
modified: 2026-05-17T07:25:16.128893
contact point: Organization
  fn: CCSD
keyword: cartesian-product
keyword: domination
keyword: graph
keyword: infoeu-reposemanticspreprint
keyword: mathmath-comathematics-mathcombinatorics-mathco
keyword: preprints-working-papers-
landing page: https://hal.science/hal-00576481

On domination of Cartesian product of directed cycles
type: Distribution
format: HTML
issued: 2026-05-17T07:25:16.147582
modified: 2026-05-17T07:25:16.109926
access URL: https://hal.science/hal-00576481

test_moissonnage_selune
type: Agent