let $d_{n,m}=big[frac{2n+1-sqrt{17+8(m-n)}}{2}big]$ and $e_{n,m}$ be the graph obtained from a path $p_{d_{n,m}+1}=v_0v_1 cdots v_{d_{n,m}}$ by joining each vertex of $k_{n-d_{n,m}-1}$ to $v_{d_{n,m}}$ and $v_{d_{n,m}-1}$, and by joining $m-n+1-{n-d_{n,m}choose 2}$ vertices of $k_{n-d_{n,m}-1}$ to $v_{d_{n,m}-2}$. zhang, liu and zhou [on the maximal eccentric connectivity ind...
