1 citations · 1 across the 9 of their papers we have counts for
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Causal-net category
Xuexing Lu
A causal-net is a finite acyclic directed graph. In this paper, we introduce a category, denoted by and called causal-net category, whose objects are causal-nets and…
Causal Network Condensation
Xuexing Lu, Ziqian Tang
In this paper, we introduce a generalized topological quantum field theory based on the symmetric monoidal category which we call causal network condensation since it can be regard…
Remark on topological nature of upward planarity
Xuexing Lu
The notion of an upward plane graph in graph theory and that of a progressive plane graph (or plane string diagram) in category theory are essentially the same thing. In this paper…
Combinatorics and algebra of tensor calculus
Sen Hu, Xuexing Lu, Yu Ye
In this paper, motivated by the theory of operads and PROPs we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad wh…