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How to make a graph four-connected
Authors:Ervin Győri  Tibor Jordán
Affiliation:(1) Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053 Budapest, Hungary, HU;(2) CWI, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands. Current address: BRICS, Department of Computer Science, University of Aarhus, DK-8000 Aarhus C, Denmark, NL
Abstract:(i) every 2-connected graph on n vertices can be made 4-connected by adding at most n new edges, and (ii) every 3-connected and 3-regular graph on n≥8 vertices can be made 4-connected by adding n/2 new edges. Received October 1995 / Revised version received March 1997 Published online March 16, 1999
Keywords:Mathematics Subject Classification (1991): 05C40   05C35
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