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We show that enhanced wavefunction localization due to the presence of shortunstable orbits and strong scarring can rely on completely differentmechanisms. Specifically we find that in quantum networks the shortest and moststable orbits do not support visible scars, although they are responsible forenhanced localization in the majority of the eigenstates. Scarring orbits areselected by a criterion which does not involve the classical Lyapunov exponent.We obtain predictions for the energies of visible scars and the distributionsof scarring strengths and inverse participation ratios.Comment: 5 pages, 2 figure

Scars on Quantum Networks Ignore the Lyapunov Exponent