On The Study of Edge Monophonic Vertex Covering Number
For a connected graph G of order n ≥ 2, a set S of vertices of G is an edge monophonic vertex cover of G if S is both an edge monophonic set and a vertex covering set of G. The minimum cardinality of an edge monophonic vertex cover of G is called the edge monophonic vertex covering number of G and i...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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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/907 |
| _version_ | 1811178971223556096 |
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| author | K.A Francis Jude Shini S Durai Raj X Lenin Xaviour A.M Anto |
| author_facet | K.A Francis Jude Shini S Durai Raj X Lenin Xaviour A.M Anto |
| author_sort | K.A Francis Jude Shini |
| collection | DOAJ |
| description | For a connected graph G of order n ≥ 2, a set S of vertices of G is an edge monophonic vertex cover of G if S is both an edge monophonic set and a vertex covering set of G. The minimum cardinality of an edge monophonic vertex cover of G is called the edge monophonic vertex covering number of G and is denoted by . Any edge monophonic vertex cover of cardinality is a -set of G. Some general properties satisfied by edge monophonic vertex cover are studied. |
| first_indexed | 2024-04-11T06:26:59Z |
| format | Article |
| id | doaj.art-21b2857cee86486e91445aff4736fe8a |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-04-11T06:26:59Z |
| publishDate | 2022-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-21b2857cee86486e91445aff4736fe8a2022-12-22T04:40:18ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142022-12-0144019720410.23755/rm.v44i0.907657On The Study of Edge Monophonic Vertex Covering NumberK.A Francis Jude Shini0S Durai Raj1X Lenin Xaviour2A.M Anto3Research Scholar, Reg No: 20213132092001, Department of Mathematics, (Pioneer Kumaraswamy College, Nagercoil-629003, Tamil Nadu, India.);Associate Professor and Principal, Department of Mathematics, (Pioneer Kumaraswamy College, Nagercoil-629003, Tamil Nadu, India.);Assistant Professor, Department of Mathematics, (Nesamony Memorial Christian College, Marthandam-629165, Tamil Nadu, India.);Assistant Professor, Department of Mathematics, (St. Alberts College (Autonomous), Ernakulam, Kochi, India.)For a connected graph G of order n ≥ 2, a set S of vertices of G is an edge monophonic vertex cover of G if S is both an edge monophonic set and a vertex covering set of G. The minimum cardinality of an edge monophonic vertex cover of G is called the edge monophonic vertex covering number of G and is denoted by . Any edge monophonic vertex cover of cardinality is a -set of G. Some general properties satisfied by edge monophonic vertex cover are studied.http://eiris.it/ojs/index.php/ratiomathematica/article/view/907monophonic setedge monophonic setvertex covering setedge monophonic vertex coveredge monophonic vertex covering numberetc. |
| spellingShingle | K.A Francis Jude Shini S Durai Raj X Lenin Xaviour A.M Anto On The Study of Edge Monophonic Vertex Covering Number Ratio Mathematica monophonic set edge monophonic set vertex covering set edge monophonic vertex cover edge monophonic vertex covering number etc. |
| title | On The Study of Edge Monophonic Vertex Covering Number |
| title_full | On The Study of Edge Monophonic Vertex Covering Number |
| title_fullStr | On The Study of Edge Monophonic Vertex Covering Number |
| title_full_unstemmed | On The Study of Edge Monophonic Vertex Covering Number |
| title_short | On The Study of Edge Monophonic Vertex Covering Number |
| title_sort | on the study of edge monophonic vertex covering number |
| topic | monophonic set edge monophonic set vertex covering set edge monophonic vertex cover edge monophonic vertex covering number etc. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/907 |
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