The integral graphs with index 3 and exactly two main eigenvalues |
| |
Authors: | Zikai Tang |
| |
Institution: | Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China |
| |
Abstract: | A graph is called integral if the spectrum of its adjacency matrix has only integral eigenvalues. An eigenvalue of a graph is called main eigenvalue if it has an eigenvector such that the sum of whose entries is not equal to zero. In this paper, we show that there are exactly 25 connected integral graphs with exactly two main eigenvalues and index 3. |
| |
Keywords: | 05C05 05C50 |
本文献已被 ScienceDirect 等数据库收录! |
|