Novel Properties of Fuzzy Labeling Graphs
The concepts of fuzzy labeling and fuzzy magic labeling graph are introduced. Fuzzy magic labeling for some graphs like path, cycle, and star graph is defined. It is proved that every fuzzy magic graph is a fuzzy labeling graph, but the converse is not true. We have shown that the removal of a fuz...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/375135 |
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| _version_ | 1832560950461333504 |
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| author | A. Nagoor Gani Muhammad Akram D. Rajalaxmi (a) Subahashini |
| author_facet | A. Nagoor Gani Muhammad Akram D. Rajalaxmi (a) Subahashini |
| author_sort | A. Nagoor Gani |
| collection | DOAJ |
| description | The concepts of fuzzy labeling and fuzzy magic labeling graph are introduced. Fuzzy
magic labeling for some graphs like path, cycle, and star graph is defined.
It is proved that every fuzzy magic graph is a fuzzy labeling graph, but
the converse is not true. We have shown that the removal of a fuzzy bridge
from a fuzzy magic cycle with odd nodes reduces the strength of a fuzzy magic
cycle. Some properties related to fuzzy bridge and fuzzy cut
node have also been discussed. |
| format | Article |
| id | doaj-art-6e71e636fcee4d2da473151a7e6a5884 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6e71e636fcee4d2da473151a7e6a58842025-02-03T01:26:15ZengWileyJournal of Mathematics2314-46292314-47852014-01-01201410.1155/2014/375135375135Novel Properties of Fuzzy Labeling GraphsA. Nagoor Gani0Muhammad Akram1D. Rajalaxmi (a) Subahashini2PG & Research Department of Mathematics, Jamal Mohamed College, Trichy, IndiaDepartment of Mathematics, University of the Punjab, New Campus, P.O. Box No. 54590, Lahore, PakistanDepartment of Mathematics, Saranathan College of Engineering, Tiruchirappalli, Tamil Nadu 620 012, IndiaThe concepts of fuzzy labeling and fuzzy magic labeling graph are introduced. Fuzzy magic labeling for some graphs like path, cycle, and star graph is defined. It is proved that every fuzzy magic graph is a fuzzy labeling graph, but the converse is not true. We have shown that the removal of a fuzzy bridge from a fuzzy magic cycle with odd nodes reduces the strength of a fuzzy magic cycle. Some properties related to fuzzy bridge and fuzzy cut node have also been discussed.http://dx.doi.org/10.1155/2014/375135 |
| spellingShingle | A. Nagoor Gani Muhammad Akram D. Rajalaxmi (a) Subahashini Novel Properties of Fuzzy Labeling Graphs Journal of Mathematics |
| title | Novel Properties of Fuzzy Labeling Graphs |
| title_full | Novel Properties of Fuzzy Labeling Graphs |
| title_fullStr | Novel Properties of Fuzzy Labeling Graphs |
| title_full_unstemmed | Novel Properties of Fuzzy Labeling Graphs |
| title_short | Novel Properties of Fuzzy Labeling Graphs |
| title_sort | novel properties of fuzzy labeling graphs |
| url | http://dx.doi.org/10.1155/2014/375135 |
| work_keys_str_mv | AT anagoorgani novelpropertiesoffuzzylabelinggraphs AT muhammadakram novelpropertiesoffuzzylabelinggraphs AT drajalaxmiasubahashini novelpropertiesoffuzzylabelinggraphs |