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• W1672473376 abstract "Many interesting graph families contain only 2-connected graphs, which have ear decompositions. We develop a technique to generate families of unlabeled 2-connected graphs using ear augmentations and apply this technique to two problems. In the first application, we search for uniquely K_r-saturated graphs and find the list of uniquely K_4-saturated graphs on at most 12 vertices, supporting current conjectures for this problem. In the second application, we verifying the Edge Reconstruction Conjecture for all 2-connected graphs on at most 12 vertices. This technique can be easily extended to more problems concerning 2-connected graphs." @default.
• W1672473376 created "2016-06-24" @default.
• W1672473376 creator A5000119939 @default.
• W1672473376 date "2011-04-27" @default.
• W1672473376 modified "2023-09-27" @default.
• W1672473376 title "Isomorph-free generation of 2-connected graphs with applications" @default.
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