Mathematics – Geometric Topology
Scientific paper
2011-11-15
Mathematics
Geometric Topology
28 pages, 35 eps figures
Scientific paper
Let $G_{g,b}$ be the set of all uni/trivalent graphs representing the combinatorial structures of pant decompositions of the oriented surface of genus $g$ with $b$ boundary components. We describe the set $A_{g,b}$ of all automorphisms of graphs in $G_{g,b}$ showing that, up to suitable moves changing the graph within $G_{g,b}$, any such automorphism can be reduced to elementary switches of adjacent edges.
Benvenuti Silvia
Piergallini Riccardo
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