P. Siva Kota Reddy and U. K. Misra

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 18, 2012, Number 4, Pages 40—46

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## Details

### Authors and affiliations

P. Siva Kota Reddy

*Department of Mathematics, Acharya Institute of Technology
Soladevanahalli, Bangalore-560 090, India
* Corresponding author*

U. K. Misra

*Department of Mathematics, Berhampur University
Berhampur-760 007, Orissa, India*

### Abstract

In this paper, we define the common minimal equitable dominating signed graph of a given signed graph and offer a structural characterization of common minimal equitable dominating signed graphs. In the sequel, we also obtained switching equivalence characterization: ~ *CMED*(Σ), where are *CMED*(Σ) are complementary signed graph and common minimal equitable dominating signed graph of Σ respectively

### Keywords

- Signed graphs
- Balance
- Switching
- Complement
- Common minimal equitable dominating signed graph
- Negation

### AMS Classification

- 05C22

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## Cite this paper

APASiva Kota Reddy, P. & Misra, U. (2012). The common minimal equitable dominating signed graphs, Notes on Number Theory and Discrete Mathematics, 18(4), 40-46.

ChicagoSiva Kota Reddy, P, and UK Misra. “The Common Minimal Equitable Dominating Signed Graphs.” Notes on Number Theory and Discrete Mathematics 18, no. 4 (2012): 40-46.

MLASiva Kota Reddy, P, and UK Misra. “The Common Minimal Equitable Dominating Signed Graphs.” Notes on Number Theory and Discrete Mathematics 18.4 (2012): 40-46. Print.