3 papers
math.CO2026
Affirmative Results on a Conjecture on the Column Space of the Adjacency Matrix
S. Akansha, K. C. Sivakumar
The Akbari-Cameron-Khosrovshahi (ACK) conjecture, which appears to be unresolved, states that for any simple graph with at least one edge, there exists a nonzero {}-ve…
math.GM2024
Graph theoretic proofs for some results on banded inverses of -matrices
S. Pratihar, K. C. Sivakumar
This work concerns results on conditions guaranteeing that certain banded -matrices have banded inverses. As a first goal, a graph theoretic characterization for an off-diagonal…
math.RA2024
Inverse -matrices with the bi-diagonal south-west structure
Samapti Pratihar, K. C. Sivakumar
Two new matrix classes are introduced; inverse cyclic matrices and bi-diagonal south-west matrices. An interesting relation is established between these classes. Applications to tw…