REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS
AG = (N, A, σ, μ) be a anti fuzzy graph. A partition of N(AG) Π = {D1, D2, …., Dk} is a regular anti fuzzy partial domatic partition of AG if (i) for each Di, < Di > is an anti fuzzy regular and (ii) Di is an anti fuzzy dominating set of GA. The maximum fuzzycardinality of a regular anti fuzzy...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mechanics of Continua and Mathematical Sciences
2024-11-01
|
| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
| Subjects: | |
| Online Access: | https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/11/16163727/jmcms-2411048-Regular-partial-domatic-number-RM-PV-1.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850206533109940224 |
|---|---|
| author | Rengasamy Muthuraj , Palanisamy Vijayalakshmi Anandaraman Sasireka |
| author_facet | Rengasamy Muthuraj , Palanisamy Vijayalakshmi Anandaraman Sasireka |
| author_sort | Rengasamy Muthuraj |
| collection | DOAJ |
| description | AG = (N, A, σ, μ) be a anti fuzzy graph. A partition of N(AG) Π = {D1, D2, …., Dk} is a regular anti fuzzy partial domatic partition of AG if (i) for each Di, < Di > is an anti fuzzy regular and (ii) Di is an anti fuzzy dominating set of GA. The maximum fuzzycardinality of a regular anti fuzzy partial domatic partition of AG is called the regular anti fuzzy partial domatic number [RAPDN]of AG and it is denoted by 𝑑𝑟𝑎𝑓(𝐴𝐺). Alsothese numbers are determined for various anti fuzzy graph. In this work, random rregular anti fuzzy graph, regular partial domatic number in anti fuzzy graphs, regular partial anti domatic number in anti fuzzy graphs are introduced. Some bounds for anti fuzzy domatic numbers are discussed. |
| format | Article |
| id | doaj-art-40731ae68e214b23bc98b2a68d3f3461 |
| institution | OA Journals |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-40731ae68e214b23bc98b2a68d3f34612025-08-20T02:10:49ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902024-11-01191120721610.26782/jmcms.2024.11.00014REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHSRengasamy Muthuraj0, Palanisamy Vijayalakshmi1Anandaraman Sasireka2PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai – 622 001, Tamilnadu, India. (Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India).PG & Research Department of Mathematics, H.H. The Rajah’s College, Pudukkottai – 622 001, Tamilnadu, India. (Affiliated to Bharathidasan University, Tiruchirappalli, Tamil Nadu, India).Department of Mathematics, PSNA College of Engineering and Technology, Dindigul – 624 622, Tamilnadu, India.AG = (N, A, σ, μ) be a anti fuzzy graph. A partition of N(AG) Π = {D1, D2, …., Dk} is a regular anti fuzzy partial domatic partition of AG if (i) for each Di, < Di > is an anti fuzzy regular and (ii) Di is an anti fuzzy dominating set of GA. The maximum fuzzycardinality of a regular anti fuzzy partial domatic partition of AG is called the regular anti fuzzy partial domatic number [RAPDN]of AG and it is denoted by 𝑑𝑟𝑎𝑓(𝐴𝐺). Alsothese numbers are determined for various anti fuzzy graph. In this work, random rregular anti fuzzy graph, regular partial domatic number in anti fuzzy graphs, regular partial anti domatic number in anti fuzzy graphs are introduced. Some bounds for anti fuzzy domatic numbers are discussed.https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/11/16163727/jmcms-2411048-Regular-partial-domatic-number-RM-PV-1.pdfanti fuzzy graphdominating setdomatic numbervertex degree. |
| spellingShingle | Rengasamy Muthuraj , Palanisamy Vijayalakshmi Anandaraman Sasireka REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS Journal of Mechanics of Continua and Mathematical Sciences anti fuzzy graph dominating set domatic number vertex degree. |
| title | REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS |
| title_full | REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS |
| title_fullStr | REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS |
| title_full_unstemmed | REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS |
| title_short | REGULAR PARTIAL DOMATIC NUMBER ON ANTI FUZZY GRAPHS |
| title_sort | regular partial domatic number on anti fuzzy graphs |
| topic | anti fuzzy graph dominating set domatic number vertex degree. |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2024/11/16163727/jmcms-2411048-Regular-partial-domatic-number-RM-PV-1.pdf |
| work_keys_str_mv | AT rengasamymuthuraj regularpartialdomaticnumberonantifuzzygraphs AT palanisamyvijayalakshmi regularpartialdomaticnumberonantifuzzygraphs AT anandaramansasireka regularpartialdomaticnumberonantifuzzygraphs |