Zimu Xiang

collaborators

2 papers

math.CO2022

Sharp lower bounds for the number of maximum matchings in bipartite multigraphs

Alexandr V. Kostochka, Douglas B. West, Zimu Xiang

We study the minimum number of maximum matchings in a bipartite multigraph G with parts $X$ and $Y$ under various conditions, refining the well-known lower bound due to M. Hall. Wh…

math.NT2019

Higher Order Fibonacci Sequences from Generalized Schreier sets

Hung Viet Chu, Steven J. Miller, Zimu Xiang

A Schreier set $S$ is a subset of the natural numbers with $min S \geq ∣ S ∣$ . It has been known that the sequence $(a_{1, n})$ , where $$a_{1,n}\ :=\ |\{S\subseteq \mathbb{N}\,:\,\max…