combinatorial optimization 1extremal graph theory 1graph enumeration 1path counting 1planar graphs 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CO2026
A sharp asymptotic bound for odd cycles in planar graphs
Zhen Liu, Chuanshu Wu
For graphs and , let denote the number of unlabeled, not necessarily induced copies of in , and let be the maximum of…
math.CO2026
The maximum number of paths of even length in a planar graph
Zhen Liu, Chuanshu Wu
The paper proves a conjecture giving the exact leading term for the maximum number of even‑length paths that can appear in an n‑vertex planar graph, and also resolves the Cox–Marti…
math.CO2026
Counterexamples to Clique Immersion Conjecture for Direct Products
Chuanshu Wu, Zijian Deng
Let \(G\) and \(H\) be graphs, and let \(G\times H\) denote their direct product. For a graph \(G\), let \(\operatorname{im}(G)\) be the largest integer \(t\) such that \(G\) conta…