For ICG(p²q³, D*) with D* = {1, p², pq, q², p²q², pq³}, eigenvalues factor via Kronecker product into p-only and q-only terms, giving a closed-form energy polynomial; D* is conjectured to be the unique maximizer for all distinct odd primes p, q.
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2 Pith papers cite this work. Polarity classification is still indexing.
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A family of graphs exists such that the energy remains unchanged when self-loops are attached to some but not all vertices.
citing papers explorer
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Graph Energy Maximisation for Integral Circulant Graphs of Order $n = p^2q^3$
For ICG(p²q³, D*) with D* = {1, p², pq, q², p²q², pq³}, eigenvalues factor via Kronecker product into p-only and q-only terms, giving a closed-form energy polynomial; D* is conjectured to be the unique maximizer for all distinct odd primes p, q.
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Some New Results on Energy of Graphs with Self Loops
A family of graphs exists such that the energy remains unchanged when self-loops are attached to some but not all vertices.