Tianhao Wang

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20232026

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math.CO2026

An Exact Counting Formula for the Mutual Position of Two Plane Conics

Tianhao Wang

Let $q$ be an odd prime power, and $C, D$ be two smooth plane conics defined over $F_{q}$ with transversal intersection. We present an exact formula for…

math.CO2025

Borel Combinatorics of Schreier Graphs of $Z$ -actions

Su Gao, Yingying Jiang, Tianhao Wang

In this paper we consider the Borel combinatorics of Schreier graphs of $Z$ -actions with arbitrary finite generating sets. We focus mostly on the problem of computing the…

math.CO2024

Continuous Edge Chromatic Numbers of Abelian Group Actions

Su Gao, Ruijun Wang, Tianhao Wang

We prove that for any generating set $S$ of $Z^{n}$ , the continuous edge chromatic number of the Schreier graph of the Bernoulli shift action $G = F (S, 2^{Z^{n}})$ is $…

An Exact Counting Formula for the Mutual Position of Two Plane Conics

Borel Combinatorics of Schreier Graphs of Z-actions

Continuous Edge Chromatic Numbers of Abelian Group Actions

Borel Combinatorics of Schreier Graphs of $Z$ -actions