activity
20072024
most citedThe Domination Number of Grids

115 citations · 208 across the 14 of their papers we have counts for

collaborators

16 papers

cs.DM2024

Recovery of cyclic words by their subwords

Sergey Luchinin, Svetlana Puzynina, Michaël Rao

A problem of reconstructing words from their subwords involves determining the minimum amount of information needed, such as multisets of scattered subwords of a specific length or…

cs.DM2018★ 6 cited

The 2-domination and Roman domination numbers of grid graphs

Michaël Rao, Alexandre Talon

We investigate the 2-domination number for grid graphs, that is the size of a smallest set of vertices of the grid such that each vertex of the grid belongs to or has at le…

math.CO2017★ 31 cited

Exhaustive search of convex pentagons which tile the plane

Michael Rao

We present an exhaustive search of all families of convex pentagons which tile the plane. This research shows that there are no more than the already 15 known families. In particul…

math.CO2016

On cardinalities of -abelian equivalence classes

Juhani Karhumäki, Svetlana Puzynina, Michaël Rao +1

Two words and are -abelian equivalent if, for each word of length at most , occurs equally many times as a factor in both and . The notion of -abeli…

math.CO2015

Avoiding two consecutive blocks of same size and same sum over

Michaël Rao, Matthieu Rosenfeld

A long standing question asks whether is uniformly 2-repetitive [Justin 1972, Pirillo and Varricchio, 1994], that is, whether there is an infinite sequence over a fini…

cs.DM2015

Avoidability of long -abelian repetitions

Michaël Rao, Matthieu Rosenfeld

We study the avoidability of long -abelian-squares and -abelian-cubes on binary and ternary alphabets. For , these are Mäkelä's questions. We show that one cannot avoid…