Geodesic
The strongly regular (45,\,12,\,3,\,3) graphs
The electronic journal of combinatorics, Tome 13 (2006)
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Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with parameters $v=45$, $k=12$, $\lambda=\mu=3$. It turns out that there are $78$ such graphs, having automorphism groups with sizes ranging from $1$ to $51840$.
DOI : 10.37236/1058
Classification : 05E30, 05-04
Mots-clés : backtrack algorithms, automorphism groups 
@article{10_37236_1058,
     author = {Kris Coolsaet and Jan Degraer and Edward Spence},
     title = {The strongly regular (45,\,12,\,3,\,3) graphs},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1058},
     zbl = {1098.05081},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1058/}
}
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Kris Coolsaet; Jan Degraer; Edward Spence. The strongly regular (45,\,12,\,3,\,3) graphs. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1058

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