ZhiJie He

Let $f$ be the infinite Fibonacci word and define … where $\operatorname{Cl}(w)$ denotes the number of distinct closed factors of $w$, including the empty word. The manuscript dete…

Let $B_m(x,y)\in\mathbb F_2$ denote the parity of the number of common edges of the two $m$-step paths encoded by $x,y\in\{0,1\}^m$. The basic recurrence is … The proof proceeds by…

I prove the strengthened Szeged-Wiener conjecture. The complete proof and the exact finite certificate are attached; here I give the structure of the argument. For a connected grap…