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Pruning 2-Connected Graphs

✍ Scribed by Chandra Chekuri; Nitish Korula


Book ID
106149161
Publisher
Springer
Year
2010
Tongue
English
Weight
857 KB
Volume
62
Category
Article
ISSN
0178-4617

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πŸ“œ SIMILAR VOLUMES


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## Abstract A constructive characterization of minimally 2‐edge connected graphs, similar to those of Dirac for minimally 2‐connected graphs is given.

Connected, locally 2-connected, K1,3-fre
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We prove that every planar 3-connected graph has a 2-connected spanning subgraph of maximum valence 15 . We give an example of a planar 3 -connected graph with no spanning 2-connected subgraph of maximum valence five. i) 1994 Academic Press, Inc.

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Let G be a k-regular 2-connected graph of order n. Jackson proved that G is hamiltonian if n 5 3k. Zhu and Li showed that the upper bound 3k on n can be relaxed to q k if G is 3-connected and k 2 63. We improve both results by showing that G is hamiltonian if n 5 gk -7 and G does not belong to a res