A study of cluster hypergraphs and its properties

In this study, cluster hypergraphs are introduced to generalize the concept of hypergraphs, where cluster nodes are allowed. Few related terms and properties on cluster hypergraphs are discussed. Some operations, including the Cartesian product, union, intersection, etc., are studied. Different type...

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Detalles Bibliográficos
Autores principales: Maity, Ananta, Das, Kousik, Samanta, Sovan, Mondal, Sukumar, Dubey, Vivek
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Vienna 2021
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7880678/
https://www.ncbi.nlm.nih.gov/pubmed/33613786
http://dx.doi.org/10.1007/s13278-021-00721-7
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author Maity, Ananta
Das, Kousik
Samanta, Sovan
Mondal, Sukumar
Dubey, Vivek
author_facet Maity, Ananta
Das, Kousik
Samanta, Sovan
Mondal, Sukumar
Dubey, Vivek
author_sort Maity, Ananta
collection PubMed
description In this study, cluster hypergraphs are introduced to generalize the concept of hypergraphs, where cluster nodes are allowed. Few related terms and properties on cluster hypergraphs are discussed. Some operations, including the Cartesian product, union, intersection, etc., are studied. Different types of matrix representations and isomorphism are also proposed on cluster hypergraphs. The notion of an effective degree for nodes is introduced to capture the group/ cluster effects. At last, the area of applications and future directions with conclusions is deployed.
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spelling pubmed-78806782021-02-16 A study of cluster hypergraphs and its properties Maity, Ananta Das, Kousik Samanta, Sovan Mondal, Sukumar Dubey, Vivek Soc Netw Anal Min Original Article In this study, cluster hypergraphs are introduced to generalize the concept of hypergraphs, where cluster nodes are allowed. Few related terms and properties on cluster hypergraphs are discussed. Some operations, including the Cartesian product, union, intersection, etc., are studied. Different types of matrix representations and isomorphism are also proposed on cluster hypergraphs. The notion of an effective degree for nodes is introduced to capture the group/ cluster effects. At last, the area of applications and future directions with conclusions is deployed. Springer Vienna 2021-02-12 2021 /pmc/articles/PMC7880678/ /pubmed/33613786 http://dx.doi.org/10.1007/s13278-021-00721-7 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH, AT part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Article
Maity, Ananta
Das, Kousik
Samanta, Sovan
Mondal, Sukumar
Dubey, Vivek
A study of cluster hypergraphs and its properties
title A study of cluster hypergraphs and its properties
title_full A study of cluster hypergraphs and its properties
title_fullStr A study of cluster hypergraphs and its properties
title_full_unstemmed A study of cluster hypergraphs and its properties
title_short A study of cluster hypergraphs and its properties
title_sort study of cluster hypergraphs and its properties
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7880678/
https://www.ncbi.nlm.nih.gov/pubmed/33613786
http://dx.doi.org/10.1007/s13278-021-00721-7
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