The common minimal equitable dominating signed graphs

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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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: \overline \Sigma ~ CMED(Σ), where \overline \Sigma 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

APA

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

Chicago

Siva 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.

MLA

Siva 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.

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