365 citations
- University of KragujevacRS26 papers
- University of BelgradeRS18 papers
- Vinča Institute of Nuclear Sciences15 papers
- Serbian Academy of Sciences and ArtsRS10 papers
- Mathematical Institute of the Serbian Academy of Sciences and Arts9 papers
- Ruđer Bošković InstituteHR9 papers
- Tel Aviv UniversityIL9 papers
- University of PrimorskaSI9 papers
- Institute of Physics BelgradeRS8 papers
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24 papers · 1 filter
On the transmission irregular trees with the maximum Wiener index
Ivan Damnjanović, Anran Xu, Kexiang Xu
The transmission of a vertex in a (chemical) graph is the sum of distances from to other vertices in . If any two vertices of have different transmissions, then…
Classification of borderenergetic chemical graphs and borderenergetic graphs of order 12
Péter Csikvári, Ivan Damnjanović, Marko Milošević +2
The energy of a simple graph is the sum of absolute values of the eigenvalues of its adjacency matrix. A borderenergetic graph of order is any noncomp…
Vertex-transitive nut graph order-degree existence problem
Ivan Damnjanović
A nut graph is a nontrivial simple graph whose adjacency matrix has a simple eigenvalue zero such that the corresponding eigenvector has no zero entries. It is known that the order…
Nut graphs with a prescribed number of vertex and edge orbits
Nino Bašić, Ivan Damnjanović
A nut graph is a nontrivial graph whose adjacency matrix has a one-dimensional null space spanned by a vector without zero entries. Recently, it was shown that a nut graph has more…
On cubic polycirculant nut graphs
Nino Bašić, Ivan Damnjanović
A nut graph is a nontrivial simple graph whose adjacency matrix contains a one-dimensional null space spanned by a vector without zero entries. Moreover, an -circulant graph…
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…