Further Results on (a, d) -total Edge Irregularity Strength of Graphs
Consider a simple graph on vertices and edges together with a total labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say defined by for all where Also, the value is said to be the edge weight of . The total edge irregularity strength of...
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University of Baghdad, College of Science for Women
2023-12-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8545 |
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| author | MUTHUGURUPACKIAM1 K PANDIARAJ P Gurusamy Rajendran MUTHUSELVAM I |
| author_facet | MUTHUGURUPACKIAM1 K PANDIARAJ P Gurusamy Rajendran MUTHUSELVAM I |
| author_sort | MUTHUGURUPACKIAM1 K |
| collection | DOAJ |
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Consider a simple graph on vertices and edges together with a total labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say defined by for all where Also, the value is said to be the edge weight of . The total edge irregularity strength of the graph G is indicated by and is the least for which G admits edge irregular h-labeling. In this article, for some common graph families are examined. In addition, an open problem is solved affirmatively.
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| format | Article |
| id | doaj-art-c01185cd80b345f8926d656032dd049d |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-c01185cd80b345f8926d656032dd049d2025-08-20T03:39:05ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862023-12-01206(Suppl.)10.21123/bsj.2023.8545Further Results on (a, d) -total Edge Irregularity Strength of GraphsMUTHUGURUPACKIAM1 K0PANDIARAJ P1Gurusamy Rajendran2MUTHUSELVAM I3Department of Mathematics, Government Arts and Science College, Srivilliputtur – 626 125, Tamil Nadu, India.Department of Mathematics, Kamaraj College of Engineering and Technology, Madurai - 625 701, Tamil Nadu, India. Department of Mathematics, Mepco Schlenk Engineering College, Sivakasi - 626 005, Tamil Nadu, India.Department of Mathematics, Kalasalingam Academy of Research and Education, Krishnankoil – 626 126, Tamil Nadu, India. Consider a simple graph on vertices and edges together with a total labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say defined by for all where Also, the value is said to be the edge weight of . The total edge irregularity strength of the graph G is indicated by and is the least for which G admits edge irregular h-labeling. In this article, for some common graph families are examined. In addition, an open problem is solved affirmatively. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8545(a,d) – Irregular labeling, Edge irregular labeling, Irregular labeling, Irregularity strength, Total edge irregular labeling |
| spellingShingle | MUTHUGURUPACKIAM1 K PANDIARAJ P Gurusamy Rajendran MUTHUSELVAM I Further Results on (a, d) -total Edge Irregularity Strength of Graphs مجلة بغداد للعلوم (a,d) – Irregular labeling, Edge irregular labeling, Irregular labeling, Irregularity strength, Total edge irregular labeling |
| title | Further Results on (a, d) -total Edge Irregularity Strength of Graphs |
| title_full | Further Results on (a, d) -total Edge Irregularity Strength of Graphs |
| title_fullStr | Further Results on (a, d) -total Edge Irregularity Strength of Graphs |
| title_full_unstemmed | Further Results on (a, d) -total Edge Irregularity Strength of Graphs |
| title_short | Further Results on (a, d) -total Edge Irregularity Strength of Graphs |
| title_sort | further results on a d total edge irregularity strength of graphs |
| topic | (a,d) – Irregular labeling, Edge irregular labeling, Irregular labeling, Irregularity strength, Total edge irregular labeling |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/8545 |
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