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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Bibliographic Details
Main Authors: Sciriha Irene, Kaur Bableen, Borg James L., Debono Mark
Format: Article
Language:English
Published: De Gruyter 2025-04-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2025-0033
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