Article ID Journal Published Year Pages File Type
4653780 European Journal of Combinatorics 2013 23 Pages PDF
Abstract

Let Gg,bGg,b be the set of all uni/trivalent graphs representing the combinatorial structures of pant decompositions of the oriented surface Σg,bΣg,b of genus gg with bb boundary components. We describe the set Ag,bAg,b of all automorphisms of graphs in Gg,bGg,b showing that, up to suitable moves changing the graph within Gg,bGg,b, any such automorphism can be reduced to elementary switches of adjacent edges.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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