Under ETH, isomorphism-invariant problems cannot be NP-complete on power graphs; Graph Motif is hard on power graphs of cyclic groups, and recognition is polynomial for abelian and some nilpotent power graphs.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.CC 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On the Complexity of Problems on Graphs Defined on Groups
Under ETH, isomorphism-invariant problems cannot be NP-complete on power graphs; Graph Motif is hard on power graphs of cyclic groups, and recognition is polynomial for abelian and some nilpotent power graphs.