6 citations · 13 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
A note on Cayley nut graphs whose degree is divisible by four
Ivan Damnjanović
A nut graph is a non-trivial simple graph such that its adjacency matrix has a one-dimensional null space spanned by a full vector. It was recently shown by the authors that there…
An inverse result for Wang's theorem on extremal trees
Ivan Damnjanović, Žarko Ranđelović
Among all trees on vertices with a given degree sequence, how do we maximise or minimise the sum over all adjacent pairs of vertices and of $f(\mathrm{deg} x, \mathrm{d…