The Fibonacci cube Γ n is the subgraph of the n-cube induced by the binary strings that
contain no two consecutive 1s. These graphs are applicable as interconnection networks …

This book covers the basic aspects of mathematical chemistry involving chemical graph
theory, with special emphasis and reference to the work of Prof. Milan Randić. It presents the …

Fibonacenes (zig-zag unbranched catacondensed benzenoid hydrocarbons) form a class of
polycyclic conjugated systems whose molecular graphs possess remarkable properties …

Fibonacci Cubes have been an extremely popular area of research since the 1990s. This
unique compendium features the state of research into Fibonacci Cubes. It expands the …

Fibonacci cubes were introduced in 1993 and intensively studied afterwards. This paper
adds the following theorem to these studies: Fibonacci cubes are precisely the resonance …

The aim of this paper is to investigate resonance graphs of 2-connected outerplane bipartite
graphs, which include various families of molecular graphs. Firstly, we present an algorithm …

Applying the recently obtained distributive lattice structure on the set of 1-factors, we show
that the resonance graphs of any benzenoid systems G, as well as of general plane (weakly) …

The resonance graph R (B) of a benzenoid graph B has the perfect matchings of B as
vertices, two perfect matchings being adjacent if their symmetric difference forms the edge …

The forcing number of a Kekulé structure of a hexagonal system is the smallest number of
double bonds that determine the entire Kekulé structure. It is known that the maximum …

An algorithm is described by means of which the Kekulé structures of a catacondensed
benzenoid molecule (with h hexagons) are transformed into binary codes (of length h). By …