G. Pirillo

most citedA characterization of Fibonacci numbers

2 citations · 2 across the 1 of their papers we have counts for

collaborators

2 papers

math.CO2017★ 2 cited

A characterization of Fibonacci numbers

Giuseppe Pirillo

The link between the equation $b (b + a) - a^{2} = 0$ concerning the side $b$ and the diagonal $a$ of a regular pentagon and the {\it Cassini identity} $F_{i} F_{i + 2} - F_{i + 1}^{2} = (- 1)^{i}$ , co…

math.CO2007

Characterizations of finite and infinite episturmian words via lexicographic orderings

Amy Glen, Jacques Justin, Giuseppe Pirillo

In this paper, we characterize by lexicographic order all finite Sturmian and episturmian words, i.e., all (finite) factors of such infinite words. Consequently, we obtain a charac…