Lucas Colucci

activity

20132026

most citedEdge colorings of graphs without monochromatic stars

5 citations · 12 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.RA2026

Marshall Quotients of the Rings $Z / n Z$

Lucas Colucci, Mathuzalem Ferreira de Lima, Kaique Matias de Andrade Roberto

We study the Marshall quotient \[ M(n)=M(\mathbb Z/n\mathbb Z) \] obtained from the ring of integers modulo $n$ by quotienting by the square classes of non-zero-divisors. Using ele…

math.CO2026

On converse invariant trees of diameter four

Fernando Afonso, Lucas Colucci, Tássio Naia

Let $D$ be an oriented graph, and let $f_{T} (D)$ denote the number of copies of $D$ in a tournament $T$ . We say that $D$ is \emph{converse invariant} if $f_{T} (D) = f_{T} (D)$ for…

Marshall Quotients of the Rings Z/nZ

On converse invariant trees of diameter four

Marshall Quotients of the Rings $Z / n Z$