Let $h_t(d)$ be minimal such that every graph $G$ with $h_t(d)$ edges and maximal degree $\le d$ contains two edges whose shortest path between them has length $\ge t$.Estimate $h_t(d)$.

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Interpret the “distance” between two edges (e={a,b}) and (f={c,d}) as [ \operatorname{dist}(e,f):=\min{\operatorname{dist}_G(x,y):x\in{a,b},\ y\in{c,d}}, ] i.e. the length of the shortest *vertex-path* joining an endpoint of one edge to an endpoint of the other [[nomath]](so incident edges have distance $0$)[[/nomath]]…

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.