Geodesic
Blocks in $k$-connected graphs
Zapiski Nauchnykh Seminarov POMI, Computational complexity theory. Part VII, Tome 293 (2002), pp. 59-93

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For a $k$-connected graph with the help of local vertex connectivity we determine a notion of block and prove some properties of blocks, which generalize the properties of classic biconnected blocks. We investigate the structure of division of a $k$-connected graph by several cutting sets. 
@article{ZNSL_2002_293_a3,
     author = {D. V. Karpov},
     title = {Blocks in $k$-connected graphs},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {59--93},
     publisher = {mathdoc},
     volume = {293},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_293_a3/}
}
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D. V. Karpov. Blocks in $k$-connected graphs. Zapiski Nauchnykh Seminarov POMI, Computational complexity theory. Part VII, Tome 293 (2002), pp. 59-93. http://geodesic.mathdoc.fr/item/ZNSL_2002_293_a3/