Note on a theorem of J. Folkman on transversals of infinite families with finitely many infinite members

Note on the reconstruction of infinite g

Note on the reconstruction of infinite graphs with a fixed finite number of components

✍ Thomas Andreae 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB 👁 1 views

For every positive integer c , we construct a pair G, , H, of infinite, nonisomorphic graphs both having exactly c components such that G, and H, are hypomorphic, i.e., G, and H, have the same families of vertex-deleted subgraphs. This solves a problem of Bondy and Hemminger. Furthermore, the pair G