Dataset complementary prism networks

The complementary prism of G, denoted by GG¯, is the graph obtained from the disjoint union of G and G¯ by adding edges between the corresponding vertices of G and G¯. Up to date, the progress of experimental research around complementary prisms is limited by the unavailability of publicly available...

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Main Authors: Ernesto Parra-Inza, José María Sigarreta-Almira
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Data in Brief
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S235234092300639X
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author Ernesto Parra-Inza
José María Sigarreta-Almira
author_facet Ernesto Parra-Inza
José María Sigarreta-Almira
author_sort Ernesto Parra-Inza
collection DOAJ
description The complementary prism of G, denoted by GG¯, is the graph obtained from the disjoint union of G and G¯ by adding edges between the corresponding vertices of G and G¯. Up to date, the progress of experimental research around complementary prisms is limited by the unavailability of publicly available instances that could be used to run extensive experiments and to compare the performance on different topological index solutions and its bounds. For this reason, we decided to make publicly available 435 instances of type GG¯ randomly generated, with increasing network size (from 12 to 1948 nodes). The dataset presents instances of Complementary Prism Networks suitable to measure the Wiener Index and Generalized Wiener Index and the value of these indices for these instances. In addition, are presented the value of some lower and upper bounds proposed in the literature for these indices and their error with respect to the value of the index.
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spelling doaj.art-f48cc399e3084c1aa756c76327d499af2023-10-13T11:04:59ZengElsevierData in Brief2352-34092023-10-0150109539Dataset complementary prism networksErnesto Parra-Inza0José María Sigarreta-Almira1Universidad Autónoma del Estado de Morelos, Cuernavaca, Morelos, MéxicoUniversidad Autónoma de Guerrero, Acapulco de Juárez, Guerrero, México; Corresponding author.The complementary prism of G, denoted by GG¯, is the graph obtained from the disjoint union of G and G¯ by adding edges between the corresponding vertices of G and G¯. Up to date, the progress of experimental research around complementary prisms is limited by the unavailability of publicly available instances that could be used to run extensive experiments and to compare the performance on different topological index solutions and its bounds. For this reason, we decided to make publicly available 435 instances of type GG¯ randomly generated, with increasing network size (from 12 to 1948 nodes). The dataset presents instances of Complementary Prism Networks suitable to measure the Wiener Index and Generalized Wiener Index and the value of these indices for these instances. In addition, are presented the value of some lower and upper bounds proposed in the literature for these indices and their error with respect to the value of the index.http://www.sciencedirect.com/science/article/pii/S235234092300639XGraphRandom graphsComplementary prismsWiener indexGeneralized Wiener index
spellingShingle Ernesto Parra-Inza
José María Sigarreta-Almira
Dataset complementary prism networks
Data in Brief
Graph
Random graphs
Complementary prisms
Wiener index
Generalized Wiener index
title Dataset complementary prism networks
title_full Dataset complementary prism networks
title_fullStr Dataset complementary prism networks
title_full_unstemmed Dataset complementary prism networks
title_short Dataset complementary prism networks
title_sort dataset complementary prism networks
topic Graph
Random graphs
Complementary prisms
Wiener index
Generalized Wiener index
url http://www.sciencedirect.com/science/article/pii/S235234092300639X
work_keys_str_mv AT ernestoparrainza datasetcomplementaryprismnetworks
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