Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy
Topological indices M<sub>1</sub>/M<sub>2</sub> known as first/second Zagreb indices are defined as the sum of the sum/product of degrees of pairs of adjacent vertices of a simple graph. These indices and their properties have been studied in detail under chemical graph theor...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2021-02-01
|
| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2317 |
| id |
doaj-5fd02b68b004425a8108894e286c4165 |
|---|---|
| record_format |
Article |
| spelling |
doaj-5fd02b68b004425a8108894e286c41652021-08-26T13:44:41ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392021-02-01192252263520Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb EnergyMahesh Kale0S. Minirani1NMIMS Deemed tobe University, Mumbai, IndiaNMIMS Deemed tobe University, Mumbai, IndiaTopological indices M<sub>1</sub>/M<sub>2</sub> known as first/second Zagreb indices are defined as the sum of the sum/product of degrees of pairs of adjacent vertices of a simple graph. These indices and their properties have been studied in detail under chemical graph theory. In this paper we introduce the concepts of first, second and hyper Zagreb indices of fuzzy graphs. We also study the Zagreb matrices and the associated Zagreb energies of fuzzy graphs. Some bounds for these energies are also obtained.http://etamaths.com/index.php/ijaa/article/view/2317 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mahesh Kale S. Minirani |
| spellingShingle |
Mahesh Kale S. Minirani Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy International Journal of Analysis and Applications |
| author_facet |
Mahesh Kale S. Minirani |
| author_sort |
Mahesh Kale |
| title |
Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy |
| title_short |
Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy |
| title_full |
Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy |
| title_fullStr |
Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy |
| title_full_unstemmed |
Fuzzy Zagreb Indices and Some Bounds for Fuzzy Zagreb Energy |
| title_sort |
fuzzy zagreb indices and some bounds for fuzzy zagreb energy |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2021-02-01 |
| description |
Topological indices M<sub>1</sub>/M<sub>2</sub> known as first/second Zagreb indices are defined as the sum of the sum/product of degrees of pairs of adjacent vertices of a simple graph. These indices and their properties have been studied in detail under chemical graph theory. In this paper we introduce the concepts of first, second and hyper Zagreb indices of fuzzy graphs. We also study the Zagreb matrices and the associated Zagreb energies of fuzzy graphs. Some bounds for these energies are also obtained. |
| url |
http://etamaths.com/index.php/ijaa/article/view/2317 |
| work_keys_str_mv |
AT maheshkale fuzzyzagrebindicesandsomeboundsforfuzzyzagrebenergy AT sminirani fuzzyzagrebindicesandsomeboundsforfuzzyzagrebenergy |
| _version_ |
1721193355822497792 |