Title of article :
Some results on the complete sigraphs with exactly three non-negative eigenvalues
Author/Authors :
Kermanian ، Abbas Department of Mathematics - Islamic Azad University, Karaj Branch , Heydari ، Farideh Department of Mathematics - Islamic Azad University, Karaj Branch , Maghasedi ، Mohammad Department of Mathematics - Islamic Azad University, Karaj Branch
Abstract :
Let $(K_{n},H^-)$ be a complete sigraph of order $n$ whose negative edges induce a subgraph $H$. In this paper, we characterize $(K_n,H^-)$ with exactly 3 non-negative eigenvalues, where $H$ is a non-spanning two-cyclic subgraph of $K_n$.
Keywords :
sigraph , Complete graph , two , cyclic graph , non , negative eigenvalues
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization