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Mar 26, 2022 at 8:39 comment added kabenyuk You can also clarify it this way. If $\operatorname{deg}_H(b)>2$, then $l(T')=\ell-2$; if $\operatorname{deg}_H(b)=2$, then $l(T')=\ell-1$.
Mar 26, 2022 at 7:45 vote accept ZZP
Mar 26, 2022 at 7:45 comment added ZZP Thank you for your answer! The graph $H$ have $\ell-2$ leaves, and by deleting $e'$ the leaf number would at most +1 in $T'$, a contradiction.
Mar 26, 2022 at 7:21 history answered kabenyuk CC BY-SA 4.0