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Linear algorithms for the Hosoya index and Hosoya matrix of a tree
Aleksander Vesel, 2021, izvirni znanstveni članek

Opis: The Hosoya index of a graph is defined as the total number of its independent edge sets. This index is an important example of topological indices, a molecular-graph based structure descriptor that is of significant interest in combinatorial chemistry. The Hosoya index inspires the introduction of a matrix associated with a molecular acyclic graph called the Hosoya matrix. We propose a simple linear-time algorithm, which does not require pre-processing, to compute the Hosoya index of an arbitrary tree. A similar approach allows us to show that the Hosoya matrix can be computed in constant time per entry of the matrix.
Ključne besede: Hosoya index, Hosoya matrix, optimal algorithm
Objavljeno v DKUM: 18.10.2024; Ogledov: 0; Prenosov: 3
.pdf Celotno besedilo (260,38 KB)
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