Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths
The notion of equitable coloring was introduced by Meyer in 1973. In this paper we obtain interesting results regarding the equitable chromatic number 𝜒= for the total graph of complete bigraphs 𝑇(𝐾𝑚,𝑛), the central graph of cycles 𝐶(𝐶𝑛) and the central graph of paths 𝐶(𝑃𝑛)....
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/279246 |
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| author | J. Vernold Vivin K. Kaliraj M. M. Akbar Ali |
| author_facet | J. Vernold Vivin K. Kaliraj M. M. Akbar Ali |
| author_sort | J. Vernold Vivin |
| collection | DOAJ |
| description | The notion of equitable coloring was introduced by Meyer in 1973. In this
paper we obtain interesting results regarding the equitable chromatic number 𝜒= for the total graph of complete bigraphs 𝑇(𝐾𝑚,𝑛), the central graph of cycles 𝐶(𝐶𝑛) and the central graph of paths 𝐶(𝑃𝑛). |
| format | Article |
| id | doaj-art-0ce5406c88af4b2a91becde2b2ddd0eb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0ce5406c88af4b2a91becde2b2ddd0eb2025-08-20T03:54:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/279246279246Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and PathsJ. Vernold Vivin0K. Kaliraj1M. M. Akbar Ali2Department of Mathematics, University College of Engineering Nagercoil, Anna University of Technology Tirunelveli (Nagercoil Campus), Nagercoil 629 004, Tamil Nadu, IndiaDepartment of Mathematics, R.V.S College of Engineering and Technology, Coimbatore 641 402, Tamil Nadu, IndiaDepartment of Mathematics, Sri Shakthi Institute of Engineering and Technology, Coimbatore 641 062, Tamil Nadu, IndiaThe notion of equitable coloring was introduced by Meyer in 1973. In this paper we obtain interesting results regarding the equitable chromatic number 𝜒= for the total graph of complete bigraphs 𝑇(𝐾𝑚,𝑛), the central graph of cycles 𝐶(𝐶𝑛) and the central graph of paths 𝐶(𝑃𝑛).http://dx.doi.org/10.1155/2011/279246 |
| spellingShingle | J. Vernold Vivin K. Kaliraj M. M. Akbar Ali Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths International Journal of Mathematics and Mathematical Sciences |
| title | Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths |
| title_full | Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths |
| title_fullStr | Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths |
| title_full_unstemmed | Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths |
| title_short | Equitable Coloring on Total Graph of Bigraphs and Central Graph of Cycles and Paths |
| title_sort | equitable coloring on total graph of bigraphs and central graph of cycles and paths |
| url | http://dx.doi.org/10.1155/2011/279246 |
| work_keys_str_mv | AT jvernoldvivin equitablecoloringontotalgraphofbigraphsandcentralgraphofcyclesandpaths AT kkaliraj equitablecoloringontotalgraphofbigraphsandcentralgraphofcyclesandpaths AT mmakbarali equitablecoloringontotalgraphofbigraphsandcentralgraphofcyclesandpaths |