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A maximally connected graph G of minimum degree δ is said to be superconnected (for short super-κ) if all disconnecting sets of cardinality δ are the neighborhood of some vertex of degree δ. Sufficient conditions on the diameter to guarantee that a graph of odd girth g and even girth h ≥ g + 3 is super-κ are stated. Also polarity graphs are shown to be super-κ.
CitationBalbuena, C.; Montejano, L. On the superconnectivity in graphs with odd girth g and even girth h. "Electronic notes in discrete mathematics", Setembre 2009, vol. 34, núm. 1, p. 537-541.
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