On molecular topological properties of benzenoid structures

Topological properties of altan-benzenoid hydrocarbons

The main topological characteristics of altan-benzenoids were established. In particular, it was shown that the perimeter of Kekuléan altan-benzenoids is of size 4k , having a destablizing (anti-aromatic) energy effect, similar to (4k)-annulenes.

Topological Properties of Benzenoid Systems. IX *. On the Sextet Polynomial

A number of mathematical relations for the sextet polynomial are derived. A graph has been introduced (the so called C-graph), representing those properties of a benzenoid system which are essential in the sextet theory of Clar. The main structural properties of the C-graph are determined. The obtained results contribute towards a better understanding of the algebraic and combinatorial backgrou...

Graph-topological approach to magnetic properties of benzenoid hydrocarbons.

Application of topological properties and graph theory to benzenoid hydrocarbons allowed us to construct an effective approach interpreting ring current formation in molecules when exposed to an external magnetic field. Transformation of unexcited canonical structures for molecules of 34 benzenoid hydrocarbons into circuit structures and then to directed circuit structures allowed us to define ...

Topological Properties of Benzenoid Systems. X*. Note on a Graph-Theoretical Polynomial of Knop and Trinajstic

Topological Properties of Event Structures

Motivated by the nice labeling problem for event structures, we study the topological properties of the associated graphs. For each n ≥ 0, we exhibit a graph Gn that cannot occur on an antichain as a subgraph of the graph of an event structure of degree n. The clique complexes of the graphs Gn are disks (n even) and spheres (n odd) in increasing dimensions. We strengthen the result for event st...