Polygonal Graceful Labeling of Some Simple Graphs
Let be a graph with vertices and edges. Let andbe the vertex set and edge set of respectively. A polygonal graceful labeling of a graph is an injective function , where is a set of all non-negative integers that induces a bijection , where is the polygonal number such that for every edge . A...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2022-12-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/883 |
| _version_ | 1811178989601947648 |
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| author | A Rama Lakshmi M P Syed Ali Nisaya |
| author_facet | A Rama Lakshmi M P Syed Ali Nisaya |
| author_sort | A Rama Lakshmi |
| collection | DOAJ |
| description | Let be a graph with vertices and edges. Let andbe the vertex set and edge set of respectively. A polygonal graceful labeling of a graph is an injective function , where is a set of all non-negative integers that induces a bijection , where is the polygonal number such that for every edge . A graph which admits such labeling is called a polygonal graceful graph. For , the above labeling gives triangular graceful labeling. For , the above labeling gives tetragonal graceful labeling and so on. In this paper, polygonal graceful labeling is introduced and polygonal graceful labeling of some simple graphs is studied |
| first_indexed | 2024-04-11T06:27:18Z |
| format | Article |
| id | doaj.art-60e86578a5024673aacc94f189533fef |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-11T06:27:18Z |
| publishDate | 2022-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-60e86578a5024673aacc94f189533fef2022-12-22T04:40:18ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142022-12-0144091410.23755/rm.v44i0.883677Polygonal Graceful Labeling of Some Simple GraphsA Rama Lakshmi0M P Syed Ali Nisaya1Research Scholar (Part time-Internal), Department of Mathematics, The M.D.T Hindu college, Affiliated to Manonmaniam Sundaranar University, Tirunelveli–627010, Tamil Nadu, India.Assistant Professor, Department of Mathematics, The M.D.T Hindu college, Affiliated to Manonmaniam Sundaranar University, Tirunelveli–627010, Tamil Nadu, India.Let be a graph with vertices and edges. Let andbe the vertex set and edge set of respectively. A polygonal graceful labeling of a graph is an injective function , where is a set of all non-negative integers that induces a bijection , where is the polygonal number such that for every edge . A graph which admits such labeling is called a polygonal graceful graph. For , the above labeling gives triangular graceful labeling. For , the above labeling gives tetragonal graceful labeling and so on. In this paper, polygonal graceful labeling is introduced and polygonal graceful labeling of some simple graphs is studiedhttp://eiris.it/ojs/index.php/ratiomathematica/article/view/883polygonal numbers, polygonal graceful labeling, polygonal graceful graph |
| spellingShingle | A Rama Lakshmi M P Syed Ali Nisaya Polygonal Graceful Labeling of Some Simple Graphs Ratio Mathematica polygonal numbers, polygonal graceful labeling, polygonal graceful graph |
| title | Polygonal Graceful Labeling of Some Simple Graphs |
| title_full | Polygonal Graceful Labeling of Some Simple Graphs |
| title_fullStr | Polygonal Graceful Labeling of Some Simple Graphs |
| title_full_unstemmed | Polygonal Graceful Labeling of Some Simple Graphs |
| title_short | Polygonal Graceful Labeling of Some Simple Graphs |
| title_sort | polygonal graceful labeling of some simple graphs |
| topic | polygonal numbers, polygonal graceful labeling, polygonal graceful graph |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/883 |
| work_keys_str_mv | AT aramalakshmi polygonalgracefullabelingofsomesimplegraphs AT mpsyedalinisaya polygonalgracefullabelingofsomesimplegraphs |