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.
On the complexity of reconfiguration problems
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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Defines LCR problem on always-connected temporal graphs, gives DP algorithm, proves APX-hardness of shortest reconfiguration, and establishes equivalence to STSR.
citing papers explorer
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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.
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Temporal Graph Reconfiguration for Always-Connected Graphs
Defines LCR problem on always-connected temporal graphs, gives DP algorithm, proves APX-hardness of shortest reconfiguration, and establishes equivalence to STSR.