3 papers
math.CO2023
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
Characterization of transmission irregular starlike and double starlike trees
Ivan Damnjanović
The transmission of a vertex in a connected graph is the sum of its distances to all the other vertices. A graph is transmission irregular (TI) when all of its vertices have mutual…