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· 2013 · Journal of Combinatorial Theory Series A · DOI 10.1016/j.jcta.2012.10.004

1 Pith paper cite this work, alongside 32 external citations. Polarity classification is still indexing.

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Finite $s$-geodesic transitive graphs under certain girths

math.CO · 2025-06-06 · conditional · novelty 7.0

For s≥5, every connected (G,s)-geodesic transitive graph of girth 2s-2 or 2s-1 either has a normal quotient of the same girth, or is the Foster graph covering the Tutte 8-cage; in the quasiprimitive case G is almost simple.

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  • Finite $s$-geodesic transitive graphs under certain girths math.CO · 2025-06-06 · conditional · none · ref 5

    For s≥5, every connected (G,s)-geodesic transitive graph of girth 2s-2 or 2s-1 either has a normal quotient of the same girth, or is the Foster graph covering the Tutte 8-cage; in the quasiprimitive case G is almost simple.