3 papers
math.CO2025
Isotropy and completeness indices of multilinear maps
Qiyuan Chen, Ke Ye
Structures of multilinear maps are characterized by invariants. In this paper we introduce two invariants, named the isotropy index and the completeness index. These invariants cap…
math.CO2025
Extremal constructions for apex partite hypergraphs
Qiyuan Chen, Hong Liu, Ke Ye
We establish new lower bounds for the Turán and Zarankiewicz numbers of certain apex partite hypergraphs. Given a -partite -uniform hypergraph , let $\ma…
math.CO2025
Bounds for Geometric rank in Terms of Subrank
Qiyuan Chen, Ke Ye
For tensors of fixed order, we establish three types of upper bounds for the geometric rank in terms of the subrank. Firstly, we prove that, under a mild condition on the character…