9 citations · 26 across the 8 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
On -regular nut graphs
Nino Bašić, Martin Knor, Riste Škrekovski
A nut graph is a simple graph whose adjacency matrix is singular with -dimensional kernel such that the corresponding eigenvector has no zero entries. In 2020, Fowler et al. cha…
Convexity deficit of benzenoids
Nino Bašić, Sarah Berkemer, Jörg Fallmann +6
In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological i…
Splittable and unsplittable graphs and configurations
Nino Bašić, Jan Grošelj, Branko Grünbaum +1
We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic configurations. We also present a complete study of trivalent cyclic Haar…
Sizes of Pentagonal Clusters in Fullerenes
Nino Bašić, Gunnar Brinkmann, Patrick W. Fowler +2
Stability and chemistry, both exohedral and endohedral, of fullerenes are critically dependent on the distribution of their obligatory 12 pentagonal faces. It is well known that th…
Coronoids, Patches and Generalised Altans
Nino Bašić, Patrick W. Fowler, Tomaž Pisanski
In this paper we revisit coronoids, in particular multiple coronoids. We consider a mathematical formalisation of the theory of coronoid hydrocarbons that is solely based on incide…