Geodesic
A note on minimally 3-connected graphs
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 1, pp. 115-123.

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If G is a minimally 3-connected graph and C is a double cover of the set of edges of G by irreducible walks, then |E(G)| ≥ 2| C| - 2.
Mots-clés : minimally 3-connected, walk double cover 
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Neumann-Lara, Víctor; Rivera-Campo, Eduardo; Urrutia, Jorge. A note on minimally 3-connected graphs. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 1, pp. 115-123. https://geodesic-test.mathdoc.fr/item/DMGT_2004_24_1_a9/

[1] J.A. Bondy and U.S.R. Murty, Graph Theory with Applications (North Holland, 1981).

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[3] W. Mader, Minimale n-fach zusammenhängende Graphen mit maximaler Kantenzahl, J. Reine Angew. Math. 249 (1971) 201-207, doi: 10.1515/crll.1971.249.201.