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Title:
Linear algorithms for the Hosoya index and Hosoya matrix of a tree
Authors:
ID
Vesel, Aleksander
(
Author
)
Files:
Vesel-2021-Linear_Algorithms_for_the_Hosoya_In.pdf
(260,38 KB)
MD5: 4DBC0E336BA242C2DD555DC2E4871FBD
https://doi.org/10.3390/math9020142
Language:
English
Work type:
Scientific work
Typology:
1.01 - Original Scientific Article
Organization:
FNM - Faculty of Natural Sciences and Mathematics
Abstract:
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.
Keywords:
Hosoya index
,
Hosoya matrix
,
optimal algorithm
Publication status:
Published
Publication version:
Version of Record
Submitted for review:
03.11.2020
Article acceptance date:
08.01.2021
Publication date:
11.01.2021
Publisher:
MDPI
Year of publishing:
2021
Number of pages:
Str. 1-11
Numbering:
Letn. 9, št. 2, št. članka 142
PID:
20.500.12556/DKUM-88848
UDC:
519.17
ISSN on article:
2227-7390
COBISS.SI-ID:
46938627
DOI:
10.3390/math9020142
Publication date in DKUM:
18.10.2024
Views:
200
Downloads:
15
Metadata:
Categories:
Misc.
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Record is a part of a journal
Title:
Mathematics
Shortened title:
Mathematics
Publisher:
MDPI AG
ISSN:
2227-7390
COBISS.SI-ID:
523267865
Document is financed by a project
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
P1-0297-2015
Name:
Teorija grafov
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-9109-2018
Name:
Sodobne invariante grafov
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-2452-2020
Name:
Strukturni, optimizacijski in algoritmični problemi v geometrijskih in topoloških predstavitvah grafov
Funder:
ARIS - Slovenian Research and Innovation Agency
Project number:
J1-1693-2019
Name:
Sodobni in novi metrični koncepti v teoriji grafov
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:
11.01.2021
Secondary language
Language:
Slovenian
Keywords:
Hosoyev indeks
,
Hosoyeva matrika
,
optimalni algoritmi
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