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math.CO2014★ 4 cited
A New Game Invariant of Graphs: the Game Distinguishing Number
Sylvain Gravier, Kahina Meslem, Simon Schmidt +1
The distinguishing number of a graph is a symmetry related graph invariant whose study started two decades ago. The distinguishing number is the least integer such t…
math.CO2014
Distinguishing Number for some Circulant Graphs
Sylvain Gravier, Kahina Meslem, Souad Slimani
Introduced by Albertson et al. \cite{albertson}, the distinguishing number of a graph is the least integer such that there is a -labeling of the vertices of t…
math.CO2014
Relaxed Locally Identifying coloring of Graphs
Méziane Aïder, Sylvain Gravier, Souad Slimani
A \textit{locally identifying coloring} (-coloring) of a graph is a proper coloring such that the sets of colors appearing in the closed neighborhoods of any pair of adjacent…