On the signed $2$-independence number of graphs

S.M. Hosseini Moghaddam (Qom Azad University, Qom, Iran)
D.A. Mojdeh (Department of Mathematics, University of Mazandaran, Babolsar, Iran)
Babak Samadi (Department of Mathematics, University of Mazandaran, Babolsar, Iran)
Lutz Volkmann (Lehrstuhl II f\"{u}r Mathematik, RWTH Aachen University, 52056 Aachen, Germany)

Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 5, No 1 (2017): Electronic Journal of Graph Theory and Applications

In this paper, we study the signed 2-independence number in graphs and give new sharp upper and lower bounds on the signed 2-independence number of a graph by a simple uniform approach. In this way, we can improve and generalize some known results in this area.