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A graph is said to be edge‐superconnected if each minimum edge‐cut consists of all the edges incident with some vertex of minimum degree. A graph G is said to be a
$\{d,d+1\}$‐semiregular graph if all its vertices have degree either d or $d+1$. A smallest $\{d,d+1\}$‐semiregular graph G with girth g is said to be a $(\{d,d+1\};g)$‐cage. We show that every $(\{d,d+1\};g)$‐cage with odd girth g is...
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