Network realignment complexes over arbitrary connected graphs admit an equivariant deformation retraction onto a complete graph plus discrete space; for complete graphs, diameter bounds and Aut(X_n) ≅ S_n (n≥5) are established.
State Complexes and Special Cube Complexes
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Network Realignment Complexes over General Graphs
Network realignment complexes over arbitrary connected graphs admit an equivariant deformation retraction onto a complete graph plus discrete space; for complete graphs, diameter bounds and Aut(X_n) ≅ S_n (n≥5) are established.