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The common minimal common neighborhood dominating signed graphs | ||
| Transactions on Combinatorics | ||
| مقاله 1، دوره 2، شماره 1، خرداد 2013، صفحه 1-8 اصل مقاله (442.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2013.2640 | ||
| نویسندگان | ||
| P. Siva Reddy* 1؛ K. R. Rajanna2؛ Kavita S. Permi3 | ||
| 1Dept. of Mathematics, Acharya Institute of Technology, Bangalore-560 090, India. | ||
| 2Professor and Head Dept. of Mathematics Acharya Institute of Technology Bangalore-560 090 India | ||
| 3Assistant Professor Dept.of Mathematics Acharya Institute of Technology Bangalore-560 090 India. | ||
| چکیده | ||
| In this paper, we define the common minimal common neighborhood dominating signed graph (or common minimal $CN$-dominating signed graph) of a given signed graph and offer a structural characterization of common minimal $CN$-dominating signed graphs. In the sequel, we also obtained switching equivalence characterization: $\overline{\Sigma} \sim CMCN(\Sigma)$, where $\overline{\Sigma}$ and $CMCN(\Sigma)$ are complementary signed graph and common minimal $CN$-signed graph of $\Sigma$ respectively. | ||
| کلیدواژهها | ||
| Signed graphs؛ Balance؛ Switching؛ Common minimal $CN$-dominating signed graph؛ Negation | ||
| مراجع | ||
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