Potential counter-examples to a conjecture on the column space of the adjacency matrix
Attempts to resolve the Akbari-Cameron-Khosrovshahi-conjecture have so far focused on the rank of a matrix. The conjecture claims that there exists a nonzero (0, 1)-vector in the row space of a (0, 1)-adjacency matrix A{\bf{A}} of a graph GG, that is not a copy of any row of A{\bf{A}}. We present a...
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| Main Authors: | Sciriha Irene, Kaur Bableen, Borg James L., Debono Mark |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-04-01
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| Series: | Special Matrices |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/spma-2025-0033 |
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