Let Gg,b be the set of all uni/trivalent graphs representing the combinatorial structures of pant decompositions of the oriented surface Sg,b of genus g with b boundary components. We describe the set Ag,b of all automorphisms of graphs in Gg,b showing that, up to suitable moves changing the graph within Gg,b, any such automorphism can be reduced to elementary switches of adjacent edges.
Automorphisms of trivalent graphs
BENVENUTI, Silvia;PIERGALLINI, Riccardo
2013-01-01
Abstract
Let Gg,b be the set of all uni/trivalent graphs representing the combinatorial structures of pant decompositions of the oriented surface Sg,b of genus g with b boundary components. We describe the set Ag,b of all automorphisms of graphs in Gg,b showing that, up to suitable moves changing the graph within Gg,b, any such automorphism can be reduced to elementary switches of adjacent edges.File in questo prodotto:
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