Hypergroups Associated with Graphs and Automata
Ch. G. Massouros, Gerasimos G. Massouros, Theodore E. Simos, George Psihoyios, Ch. Tsitouras · AIP conference proceedings · 2009
The paths in a tree define a hypercomposition in the set of its vertices and so a hypergroup is associated to each tree. Hypergroups are also associated to graphs through their spanning trees. Furthermore hypergroups are associated to automata using hypercompositions defined through strings.