20 citations · 41 across the 40 of their papers we have counts for
5 papers · 1 filter
Maxima of the Q-index: forbidden even cycles
Vladimir Nikiforov, Xiying Yuan
Let be a graph of order and let be the largest eigenvalue of the signless Laplacian of . Let be the graph obtained by joining each vertex o…
On the spectral radii of bicyclic graphs with fixed independence number
Xiying Yuan
Bicyclic graph is a connected graph in which the number of edges equals the number of vertices plus one. In this paper, we determine the graph which alone maximizes the spectral ra…
The p-spectral radius of k-partite and k-chromatic uniform hypergraphs
L. Kang, V. Nikiforov, X Yuan
We characterize the r-graph with maximal p-spectral radius among the k-partite r-graphs of order n, and the 3-graph with maximal p-spectral radius among the k-chromatic 3-graphs of…
More eigenvalue problems of Nordhaus-Gaddum type
Vladimir Nikiforov, Xiying Yuan
Let be a graph of order and let be the eigenvalues of its adjacency matrix. This note studies eigenvalue problems…
Maxima Q-index of graphs with forbidden odd cycles
Xiying Yuan
Let be the -index (the largest eigenvalue of the signless Laplacian) of . Let be the graph obtained by joining each vertex of a complete graph o…