24 citations · 56 across the 8 of their papers we have counts for
11 papers
On the Nullity of Altans and Iterated Altans
Nino Bašić, Patrick W. Fowler
Altanisation (formation of the altan of a parent structure) originated in the chemical literature as a formal device for constructing generalised coronenes from smaller structures.…
Catacondensed Chemical Hexagonal Complexes: A Natural Generalisation of Benzenoids
Cate S. Anstöter, Nino Bašić, Patrick W. Fowler +1
Catacondensed benzenoids (those benzenoids having no carbon atom belonging to three hexagonal rings) form the simplest class of polycyclic aromatic hydrocarbons (PAH). They have a…
Charting the space of chemical nut graphs
Patrick W. Fowler, Tomaž Pisanski, Nino Bašić
Molecular graphs of unsaturated carbon frameworks or hydrocarbons pruned of hydrogen atoms, are chemical graphs. A chemical graph is a connected simple graph of maximum degree …
On singular signed graphs with nullspace spanned by a full vector: Signed nut graphs
Nino Bašić, Patrick W. Fowler, Tomaž Pisanski +1
A signed graph has edge weights drawn from the set , and is termed sign-balanced if it is equivalent to an unsigned graph under the operation of sign switching; otherwis…
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…
Existence of regular nut graphs for degree at most 11
Patrick W. Fowler, John Baptist Gauci, Jan Goedgebeur +2
A nut graph is a singular graph with one-dimensional kernel and corresponding eigenverctor with no zero elements. The problem of determining the orders for which -regular nu…