Concepts on Coloring of Cluster Hypergraphs with Application

Samanta, S; Lee, JG; Naseem, U; Khan, SK; Das, K

Concepts on Coloring of Cluster Hypergraphs with Application

Samanta, S Lee, JG Naseem, U Khan, SK Das, K

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Publisher:: Hindawi Limited
Publication Type:: Journal Article
Citation:: Mathematical Problems in Engineering, 2020, 2020, pp. 1DUMMMY
Issue Date:: 2020-01-01

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Field	Value	Language
dc.contributor.author	Samanta, S
dc.contributor.author	Lee, JG
dc.contributor.author	Naseem, U
dc.contributor.author	Khan, SK
dc.contributor.author	Das, K
dc.date.accessioned	2021-06-21T01:00:41Z
dc.date.available	2021-06-21T01:00:41Z
dc.date.issued	2020-01-01
dc.identifier.citation	Mathematical Problems in Engineering, 2020, 2020, pp. 1DUMMMY
dc.identifier.issn	1024-123X
dc.identifier.issn	1563-5147
dc.identifier.uri	http://hdl.handle.net/10453/149666
dc.description.abstract	Coloring of graph theory is widely used in different fields like the map coloring, traffic light problems, etc. Hypergraphs are an extension of graph theory where edges contain single or multiple vertices. This study analyzes cluster hypergraphs where cluster vertices too contain simple vertices. Coloring of cluster networks where composite/cluster vertices exist is done using the concept of coloring of cluster hypergraphs. Proper coloring and strong coloring of cluster hypergraphs have been defined. Along with these, local coloring in cluster hypergraphs is also provided. Such a cluster network, COVID19 affected network, is assumed and colored to visualize the affected regions properly.
dc.language	en
dc.publisher	Hindawi Limited
dc.relation.ispartof	Mathematical Problems in Engineering
dc.relation.isbasedon	10.1155/2020/3705156
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	01 Mathematical Sciences, 09 Engineering
dc.subject.classification	Numerical & Computational Mathematics
dc.title	Concepts on Coloring of Cluster Hypergraphs with Application
dc.type	Journal Article
utslib.citation.volume	2020
utslib.for	01 Mathematical Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	open_access	*
dc.date.updated	2021-06-21T01:00:39Z
pubs.publication-status	Published
pubs.volume	2020

Abstract:

Coloring of graph theory is widely used in different fields like the map coloring, traffic light problems, etc. Hypergraphs are an extension of graph theory where edges contain single or multiple vertices. This study analyzes cluster hypergraphs where cluster vertices too contain simple vertices. Coloring of cluster networks where composite/cluster vertices exist is done using the concept of coloring of cluster hypergraphs. Proper coloring and strong coloring of cluster hypergraphs have been defined. Along with these, local coloring in cluster hypergraphs is also provided. Such a cluster network, COVID19 affected network, is assumed and colored to visualize the affected regions properly.

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http://hdl.handle.net/10453/149666