Wanderson Lomenha

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2ranked-venue papers
0as first author
2since 2021 · last 2025
—ORCID · none

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Theory of computation · 2 · 2 since 2021
YearPublicationVenuePosition
2025 On nonrepetitive colorings of paths and cycles
Fábio Botler, Wanderson Lomenha, João Pedro de Souza
Discret. Appl. Math.2
2023 On nonrepetitive colorings of cycles
abstract
We say that a sequence a1 . . . a2t of integers is repetitive if ai = ai+t for every i ϵ {1,...,t}. A walk in a graph G is a sequence v1 . . . vr of vertices of G in which vivi+1 ϵ E(G) for every i ϵ {1,..., r - 1}. Given a k-coloring c: V(G) → {1,..., k} of V(G), we say that c is walk-nonrepetitive if for every t ϵ N, for every walk v1 . . . v2t in G the sequence c(V1) . . . c(v2t) is not repetitive unless vi = vi+t for every i ϵ {1,..., t}, and the walk-nonrepetitive chromatic number σ(G) of G is the minimum k for which G has a walk-nonrepetitive k-coloring. Let Cn denote the cycle with n vertices. In this paper we show that σ(Cn) = 4 whenever n ≥ 4 and n ∉ {5,7}, which answers a question posed by Barát and Wood in 2008.
Fábio Botler, Wanderson Lomenha, João Pedro de Souza
LAGOS2