3 papers
math.SP2026
Generalizing Perron--Frobenius theory and eigenvector-based centralities to networks with complex edge weights
Yu Tian, Mason A. Porter, Lucas Böttcher
A fundamental concept in linear algebra and its applications to network analysis is the Perron--Frobenius (PF) theorem, which underpins eigenvector-based centrality measures such a…
quant-ph2024
Multipartite Entanglement Routing as a Hypergraph Immersion Problem
Yu Tian, Yuefei Liu, Xiangyi Meng
Multipartite entanglement, linking multiple nodes simultaneously, is a higher-order correlation that offers advantages over pairwise connections in quantum networks (QNs). Creating…
cs.DM2024
Finding hypergraph immersion is fixed-parameter tractable
Xiangyi Meng, Yu Tian
Immersion minor is an important variant of graph minor, defined through an injective mapping from vertices in a smaller graph to vertices in a larger graph where adjacent e…