Mariusz Grech

activity

20122021

most citedDistinguishing simple groups

3 citations · 4 across the 11 of their papers we have counts for

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2 papers · 1 filter

math.CO2021

Asymmetric edge-coloring of graphs with simple automorphism group

Mariusz Grech, Andrzej Kisielewicz

The distinguishing index $D^{'} (Γ)$ of a graph $Γ$ is the least number $k$ such that $Γ$ has an edge-coloring with $k$ colors preserved only by the trivial automorphism. In this paper…

math.CO2021

A class of graphs with distinguishing index $D^{'} \leq 3$

Mariusz Grech, Andrzej Kisielewicz

An edge-coloring of a graph is called asymmetric if the only automorphism which preserves it is the identity. Lehner, Pilśniak, and Stawiski proved that all connected regular graph…

Asymmetric edge-coloring of graphs with simple automorphism group

A class of graphs with distinguishing index D′≤3

A class of graphs with distinguishing index $D^{'} \leq 3$