Open problems in degree/girth
From Combinatorics Wiki
This page lists a number of open problems in the degree/girth (cage) problem.
For the background and history of the problem, see G. Exoo and R. Jajcay, Dynamic cage survey, Electron. J. Combin. DS16 (2012).
Girth 5 graphs
The current best known constructions for degree [math]d[/math] and girth 5