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Table 1 

Statistics on AMR graphs, out of 20,628 total. original = as provided in the corpus; reversed = with all edge labels of the form *-of reversed; reified = with certain roles reified as needed to break cycles. A graph with no edges is counted as having zero treewidth.

 originalreversedreified
cyclic 746 105 
avg. roots 1.07 2.37 2.37 
avg. treewidth 1.55 1.55 1.55 
treewidth = 0 153 153 153 
treewidth = 1 10,174 10,174 10,148 
treewidth = 2 9,092 9,092 9,118 
treewidth = 3 1,178 1,178 1,178 
treewidth = 4 31 31 31 
 originalreversedreified
cyclic 746 105 
avg. roots 1.07 2.37 2.37 
avg. treewidth 1.55 1.55 1.55 
treewidth = 0 153 153 153 
treewidth = 1 10,174 10,174 10,148 
treewidth = 2 9,092 9,092 9,118 
treewidth = 3 1,178 1,178 1,178 
treewidth = 4 31 31 31 
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