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- W2740097900 abstract "For each odd r ≥ 3 and each n of the form 2kb(r + 2 − 2b) for k ≥ 1 and 1 ≤ b ≤ (r − 1)/2, the first author has constructed an r-regular r/2-tough graph on n vertices. In this paper, we provide an alternate and more advantageous construction. First, both our new construction and its proof are simpler. Second, we use an extension of the notion of graph inflations, as used in a construction given by Chvatal in the case that r = 3. Third, we generalize a construction of our own used in the case that r = 5, that allowed us to further remove the restrictions on the number of vertices n." @default.
- W2740097900 created "2017-08-08" @default.
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- W2740097900 date "2009-01-01" @default.
- W2740097900 modified "2023-09-23" @default.
- W2740097900 title "Constructing a large class of supertough graphs." @default.
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