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Unbalanced spectral Turán problem for color-critical graphs with prescribed large maximum degree
Chang Liu
Let be a connected color-critical graph with , let . We determine the graph of maximum adjacency spectral radius among all $n…
Unbalanced Turán and spectral Turán problems with prescribed large maximum degree
Chang Liu
Classical Turán-type problems determine the maximum number of edges and spectral radius of an -vertex -free graph without a degree constraint. We study the corresponding prob…
Eigenvalues and spanning trees with constrained degree
Chang Liu, Jianping Li
In this paper, we study some spanning trees with bounded degree and leaf degree from eigenvalues. For any integer , a -tree is a spanning tree in which every vertex has…
The minimum spectral radius of graphs with a given domination number
Chang Liu, Jianping Li
Let be the set of simple and connected graphs on vertices and with domination number . The graph with minimum spectral radius among is…
On the -spectral radius of the -uniform supertrees
Chang Liu, Jianping Li
Let be a -uniform hypergraph with vertex set and edge set . A connected and acyclic hypergraph is called a supertree. For , the -spectral radius of…
The maximum -spectral radius of -connected graphs with bounded matching number
Chang Liu, Zimo Yan, Jianping Li
Let be a graph with adjacency matrix and let be a diagonal matrix of the degrees of . In 2017, Nikiforov defined the -matrix of as \begin{equation*} A…