Isomorphism on generalized fuzzy graphs and image visualizations

Sovan Samanta; Biswajit Sarkar

doi:10.1007/s00500-020-05260-5

Isomorphism on generalized fuzzy graphs and image visualizations

Sovan Samanta, Biswajit Sarkar

Department of Industrial Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The graph theory is being used for representation in networks and chemical atomic structures very frequently. However, these days, uncertainties are imposed on such networks. Isomorphism in generalized fuzzy graphs has been introduced here to capture the similarity of uncertainties in different networks. Homomorphism, weak isomorphism, co-weak isomorphism and nearly isomorphism are defined with examples. Also, an application of image visualization is described.

Original language	English
Pages (from-to)	14401-14409
Number of pages	9
Journal	Soft Computing
Volume	24
Issue number	19
DOIs	https://doi.org/10.1007/s00500-020-05260-5
Publication status	Published - 2020 Oct 1

Bibliographical note

Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Software
Geometry and Topology

Access to Document

10.1007/s00500-020-05260-5

Cite this

@article{bd341fed73ef435293b97f804f72b5e5,

title = "Isomorphism on generalized fuzzy graphs and image visualizations",

abstract = "The graph theory is being used for representation in networks and chemical atomic structures very frequently. However, these days, uncertainties are imposed on such networks. Isomorphism in generalized fuzzy graphs has been introduced here to capture the similarity of uncertainties in different networks. Homomorphism, weak isomorphism, co-weak isomorphism and nearly isomorphism are defined with examples. Also, an application of image visualization is described.",

author = "Sovan Samanta and Biswajit Sarkar",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

month = oct,

day = "1",

doi = "10.1007/s00500-020-05260-5",

language = "English",

volume = "24",

pages = "14401--14409",

journal = "Soft Computing",

issn = "1432-7643",

publisher = "Springer Verlag",

number = "19",

}

TY - JOUR

T1 - Isomorphism on generalized fuzzy graphs and image visualizations

AU - Samanta, Sovan

AU - Sarkar, Biswajit

PY - 2020/10/1

Y1 - 2020/10/1

N2 - The graph theory is being used for representation in networks and chemical atomic structures very frequently. However, these days, uncertainties are imposed on such networks. Isomorphism in generalized fuzzy graphs has been introduced here to capture the similarity of uncertainties in different networks. Homomorphism, weak isomorphism, co-weak isomorphism and nearly isomorphism are defined with examples. Also, an application of image visualization is described.

AB - The graph theory is being used for representation in networks and chemical atomic structures very frequently. However, these days, uncertainties are imposed on such networks. Isomorphism in generalized fuzzy graphs has been introduced here to capture the similarity of uncertainties in different networks. Homomorphism, weak isomorphism, co-weak isomorphism and nearly isomorphism are defined with examples. Also, an application of image visualization is described.

UR - http://www.scopus.com/inward/record.url?scp=85089779788&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85089779788&partnerID=8YFLogxK

U2 - 10.1007/s00500-020-05260-5

DO - 10.1007/s00500-020-05260-5

M3 - Article

AN - SCOPUS:85089779788

SN - 1432-7643

VL - 24

SP - 14401

EP - 14409

JO - Soft Computing

JF - Soft Computing

IS - 19

ER -

Isomorphism on generalized fuzzy graphs and image visualizations

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this