
handle: 10195/72471
The matching of an undirected graph G=(V,E) is a subset M of E such that no two edges of M are adjacent in G. The Hosoya index of a graph G is given by the number of all matching of G . This number is one of the most interesting topological index in chemistry. Helicenes are extremal hexagonal chains with a simple graph representation as an important subclass of benzenoid molecules. We obtain the exact formula for the Hosoya index of the molecular graphs of helicenes as a function of the number of hexagons in them.
difference equation, diferenční rovnice, molecular graph, molekulární graf, dekompoziční věta, Hosoyův index, decomposition theorem, Párování v grafu, Matching of a graph, Hosoya index, helicene, helicen
difference equation, diferenční rovnice, molecular graph, molekulární graf, dekompoziční věta, Hosoyův index, decomposition theorem, Párování v grafu, Matching of a graph, Hosoya index, helicene, helicen
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