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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.01767 |
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Table of Contents:
- A kernel in a digraph is an independent and absorbent subset of its vertex set. A digraph is critical kernel imperfect if it does not have a kernel, but every proper induced subdigraph does. In this article, we characterize asymmetrical $4$-quasi-transitive and $4$-transitive digraphs, as well as $2$-anti-transitive, and asymmetrical $4$-anti-transitive digraphs with bounded diameter, which are critical kernel imperfect.