5 papers
Extremal problems for star forests and cliques
Yongchun Lu, Liying Kang
Given a family of graphs , the Turán number denotes the maximum number of edges in any -free graph on vertices. Recently, Alon an…
Extremal problems for disjoint graphs
Zhenyu Ni, Jing Wang, Liying Kang
For a simple graph , let and be the set of graphs with the maximum number of edges and the set of graphs with the maximum spectral ra…
Spectral extremal graphs for disjoint cliques
Zhenyu Ni, Jing Wang, Liying Kang
The is the union of disjoint copies of -clique. Moon [Canad. J. Math. 20 (1968) 95--102] and Simonovits [Theory of Graphs (Proc. colloq., Tihany, 1996)] indep…
Spectral Turán Type Problems on Cancellative Hypergraphs
Zhenyu Ni, Lele Liu, Liying Kang
Let be a cancellative -uniform hypergraph in which the symmetric difference of any two edges is not contained in a third one. Equivalently, a -uniform hypergraph is c…
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…