The adjacency matrix of a signed graph has -1 or +1 for adjacent vertices, depending on the sign of the connecting edges. In this paper, the eigenvalues of signed complete graphs are investigated. We prove that
graph theory/ eigenvalueseigenvectorsbipartite graphs/ C1160 Combinatorial mathematicsThe established, spectral characterisation of bipartite graphs with unweighted vertices (which are here termed homogeneous graphs) is extended to those bipartite graphs (called heterogeneous) in which all of the vertices in ...
We present the first steps towards the determination of the signed graphs for which the adjacency matrix has all but at most two eigenvalues equal to ±1. Here we deal with the disconnected, the bipartite and the complete signed graphs. In addition, we present many examples which cannot be ...
On the distribution of eigenvalues of graphs Xuerong Yong Department of Mathematics, Xinjiang University, Urumqi 830046, P.R.China Abstract Let G be a simple graph with n(≥ 2) vertices, and λ i (G) be the ith largest eigenvalue of G. In this paper we obtain the following: If λ 3...
1. A Note on the Signless Laplacian and Distance Signless Laplacian Eigenvalues of Graphs [J] . Fenglei TIAN, Xiaoming LI, Jianling ROU 数学研究及应用:英文版 . 2014,第006期 机译:图的无符号拉普拉斯特征和距离无符号拉普拉斯特征值的一个注记 2. A note on graphs whose signless Laplacian...
Here the stable symmetry can then be confirmed by deriving the eigenvalues numerically for all possible matrices B12. Also, the convergence can be observed experimentally. Fig. 6(a) shows B11200 for a non-weak key, while Fig. 6(b) corresponds to a weak key. The matrices clearly differ ...
It also provides an upper bound for the sum of the largest Laplacian eigenvalues for the wheel graph 𝑊𝑛+1,Wn+1, which provides a better approximation for this upper bound using Brouwer’s conjecture and the Grone–Merris–Bai inequality. We study the symmetry of wheel graphs and recall...
It also provides an upper bound for the sum of the largest Laplacian eigenvalues for the wheel graph 𝑊𝑛+1,Wn+1, which provides a better approximation for this upper bound using Brouwer’s conjecture and the Grone–Merris–Bai inequality. We study the symmetry of wheel graphs and recall...
We classify noncomplete prime valency graphs satisfying the property that their automorphism group is transitive on both the set of arcs and the set of 2-g... A Devillers,W Jin,CH Li,... - 《Journal of Graph Theory》 被引量: 10发表: 2014年 A note on antipodal signed graphs A Smarand...
signal maps. The objective is to improve the classification accuracy of MI-EEG signals and enhance the usability of the system. During preprocessing, the Pearson correlation coefficient is utilized to sift through the Intrinsic Mode Functions (IMFs) derived from Improved Complete Ensemble Empirical ...