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Graphs and Networks

Armen H. Zemanian
Scientia Gratiii Scientiae It is now thirteen years since the first book that discusses transfinite graphs and elec­ trical networks appeared [50]. This was followed by two more books [51] and [54] which compiled results from an ongoing research effort on that subject. Why then is a fourth book, this one, being offered? Simply because still more has been achieved beyond that appearing in those prior books. An exposition of these more recent re­ sults is the purpose of this book. The idea of transfiniteness for graphs and networks appeared as virgin research territory about seventeen years ago. Notwithstanding the progress that has since been achieved, much more remains to be done-or so it appears. Many conclusions con­ cerning conventionally infinite graphs and networks can be reformulated as open problems for transfinite graphs and networks. Furthermore, questions peculiar to transfinite concepts for graphs and networks can be suggested. Indeed, these two considerations have inspired the new results displayed herein.
Autor: Zemanian, Armen H.
EAN: 9780817642921
Auflage: 2004
Sprache: Englisch
Seitenzahl: 220
Produktart: kartoniert, broschiert
Verlag: Birkhäuser Boston
Veröffentlichungsdatum: 13.05.2004
Untertitel: Transfinite and Nonstandard
Schlagworte: Graph - Graphentheorie Netz (elektrisch)
Größe: 13 × 155 × 235
Gewicht: 341 g