| Title: | On edge-edge domination in graphs |
| Authors: | Thakkar, D.K. Jamvecha, N.P. |
| Keywords: | edge-edge dominating set minimal edge-edge dominating set minimum edge-edge dominating set e-dominating neighbourhood Private edge-edge neighbourhood edge-edge domination number |
| Issue Date: | Jun-2017 |
| Publisher: | International Journal of Mathematical Archive |
| Citation: | THAKKAR, D., & JAMVECHA, N. (2017). International Journal of Mathematical Archive-8 (6), 2017, 227-231 Available online through www. ijma. info ISSN 2229–5046. |
| Abstract: | In this paper we further study the concept of edge-edge domination in graphs. We observe that the edge-edge domination number of a graph may increase or decrease or remains same when a edge is removed from a graph. We proved a necessary and sufficient condition under which the edge-edge domination number of a graph increases and also we proved a necessary and sufficient condition under which the edge-edge domination number of a graph decreases. For this purpose we introduce two new concepts namely e-dominating neighbourhood of an edge and private edge-edge neighbourhood of an edge with respect to a set containing the edge. Some examples also have been given. |
| Description: | Acknowledgement: The authors are thankful to the reviewer for their comments and suggestions for improving the quality of this paper. |
| URI: | http://10.9.150.37:8080/dspace//handle/atmiyauni/803 |
| ISSN: | 2229-5046 |
| Appears in Collections: | 01. Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 411) 67814_Nehaben Pankajbhai Jamvecha.pdf | 163.13 kB | Adobe PDF | View/Open |
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