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We present freshly evaluated B$(E2\uparrow;0^+\rightarrow2^+)$ values acrossthe even-even Sn-isotopes which confirm the presence of an asymmetric behavioras well as a dip in the middle of the full valence space. We explain thesefeatures by using the concept of generalized seniority. The dip in the B$(E2)$values near $^{116}$Sn is understood in terms of a change in the dominantorbits before and after the mid shell, which also explains the presence ofasymmetric peaks in the B$(E2)$ values. This approach helps in deciding themost active valence spaces for a given set of isotopes, and single out the mostuseful truncation scheme for Large Scale Shell Model (LSSM) calculations. TheLSSM calculations so guided by generalized seniority are also able to reproducethe experimental data on B$(E2)\uparrow$ values quite well.

Asymmetric behavior of the B$(E2 \uparrow; 0^+ \rightarrow 2^+)$ values in $^{104-130}$Sn and Generalized Seniority