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math.CO2023★ 5 cited
Classification of cubic tricirculant nut graphs
Ivan Damnjanović, Nino Bašić, Tomaž Pisanski +1
A nut graph is a simple graph whose adjacency matrix has the eigenvalue zero with multiplicity one such that its corresponding eigenvector has no zero entries. It is known that the…
math.CO2023
Solving the Mostar index inverse problem
Yaser Alizadeh, Nino Bašić, Ivan Damnjanović +4
A nonnegative integer is realizable by a graph-theoretical invariant if there exist a graph such that . The inverse problem for consists of finding all no…
math.CO2023
Vertex and edge orbits in nut graphs
Nino Bašić, Patrick W. Fowler, Tomaž Pisanski
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. If the isolated vertex is e…