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Sharp lower bounds on the spectral radius of uniform hypergraphs concerning degrees
Lele Liu, Liying Kang, Erfang Shan
Let and be the adjacency tensor and signless Laplacian tensor of an -uniform hypergraph . Denote by and the spect…
Extremal hypergraphs for matching number and domination number
Erfang Shan, Yanxia Dong, Liying Kang +1
A matching in a hypergraph is a set of pairwise disjoint hyperedges. The matching number of is the size of a maximum matching in $\math…
Some results on the spectral radii of uniform hypergraphs
Liying Kang, Lele Liu, Liqun Qi +1
Let A(G) be the adjacency tensor (hypermatrix) of uniform hypergraph G. The maximum modulus of the eigenvalues of A(G) is called the spectral radius of G. In this paper, the conjec…
On the principal eigenvectors of uniform hypergraphs
Lele Liu, Liying Kang, Xiying Yuan
Let be the adjacency tensor of -uniform hypergraph . If is connected, the unique positive eigenvector with $||x||_r…