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math.CO2024
On the degrees of regular nut graphs and Cayley nut graphs
Nino Bašić, Ivan Damnjanović, Patrick W. Fowler
A nut graph is a simple graph for which the adjacency matrix has a single zero eigenvalue such that all non-zero kernel eigenvectors have no zero entry. It is known that infinitely…
math.CO2024
Nut graphs with a given automorphism group
Nino Bašić, Patrick W. Fowler
A nut graph is a simple graph of order 2 or more for which the adjacency matrix has a single zero eigenvalue such that all non-zero kernel eigenvectors have no zero entry (i.e. are…