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Dive into the research topics where Lucas Mol is active.

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Featured researches published by Lucas Mol.


International Journal of Algebra and Computation | 2017

A family of formulas with reversal of high avoidability index

James D. Currie; Lucas Mol

We present an infinite family of formulas with reversal whose avoidability index is bounded between 4 and 5, and we show that several members of the family have avoidability index 5. This family is particularly interesting due to its size and the simple structure of its members. For each


Theoretical Informatics and Applications | 2017

On avoidability of formulas with reversal

James D. Currie; Lucas Mol

kin{4,5}


Theoretical Computer Science | 2018

Avoidance bases for formulas with reversal

James D. Currie; Lucas Mol

, there are several previously known avoidable formulas (without reversal) of avoidability index


Discrete Mathematics | 2018

On the roots of Wiener polynomials of graphs

Jason I. Brown; Lucas Mol; Ortrud R. Oellermann

k


Archive | 2017

Maximizing the mean subtree order

Lucas Mol; Ortrud R. Oellermann

, but they are small in number and they all have rather complex structure.


arXiv: Formal Languages and Automata Theory | 2018

Cobham's Theorem and Automaticity.

Lucas Mol; Jeffrey Shallit; Manon Stipulanti

While a characterization of unavoidable formulas (without reversal) is well-known, little is known about the avoidability of formulas with reversal in general. In this article, we characterize the unavoidable formulas with reversal that have at most two one-way variables (


arXiv: Combinatorics | 2018

Average connectivity of minimally 2-connected graphs and average edge-connectivity of minimally 2-edge-connected graphs

Rocío M. Casablanca; Lucas Mol; Ortrud R. Oellermann

x


arXiv: Combinatorics | 2018

On the roots of the subtree polynomial

Jason I. Brown; Lucas Mol

is a one-way variable in formula with reversal


arXiv: Combinatorics | 2018

Circular repetition thresholds on some small alphabets

James D. Currie; Lucas Mol

phi


arXiv: Combinatorics | 2018

Circular repetition thresholds on some small alphabets: Last cases of Gorbunova's conjecture

James D. Currie; Lucas Mol

if exactly one of

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