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| Title: | On the Line Graph of the complement Graph for the Ring of Gaussian Integers modulo n. |
| Authors: | Nazzal, Khalida Manal, Ghanem |
| Keywords: | Complement of a Graph; Chromatic Index; Diameter; Domination Number; Eulerian Graph; Gaussian Integers Modulo n; Hamiltonian Graph; Line Graph; Radius; Zero Divisor Graph |
| Issue Date: | 30-Jan-2012 |
| Publisher: | Open Journal of Discrete Mathematics |
| Citation: | Open Journal of Discrete Mathematics, 2012, 2, 24-34 http://dx.doi.org/10.4236/ojdm.2012.21006 |
| Series/Report no.: | 2012;24-34 |
| Abstract: | The line graph for the complement of the zero divisor graph for the ring of Gaussian integers modulo n is studied. The diameter, the radius and degree of each vertex are determined. Complete characterization of Hamiltonian, Eulerian, planer, regular, locally H and locally connected L i n [ ] is given. The chromatic number when n is a power of a prime is computed. Further properties for L i n[ ] and n[ ]i are also discussed |
| Description: | Article |
| URI: | https://scholar.ptuk.edu.ps/handle/123456789/204 |
| Appears in Collections: | Applied science faculty |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| OJDM20120100008_94831099.pdf | Main article | 232.22 kB | Adobe PDF |  View/Open |
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