Hadwiger conjecture (combinatorial geometry): Difference between revisions

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The Hadwiger conjecture is named after [[Hugo Hadwiger]], who included it on a list of unsolved problems in 1957; it was, however, previously studied by {{harvtxt|Levi|1955}} and independently, {{harvtxt|Gohberg|Markus|1960}}. Additionally, there is a different [[Hadwiger conjecture (graph theory)|Hadwiger conjecture]] concerning [[graph coloring]]—and in some sources the geometric Hadwiger conjecture is also called the '''Levi–Hadwiger conjecture''' or the''' Hadwiger–Levi covering problem'''.
 
The [[conjecture]] remains unsolved even in three dimensions, though the two dimensional case was resolved by {{harvtxt|Levi|1955}}.
 
==Formal statement==