Staats- und Universitätsbibliothek Hamburg Carl von Ossietzky
Erscheinungsjahr:
2020
Medientyp:
Text
Schlagworte:
infinite graph
ends
tangles
stars
combs
minors
Farey
510 Mathematik
31.12 Kombinatorik, Graphentheorie
Graph
Graphentheorie
Unendlichkeit
ddc:510
Graph
Graphentheorie
Unendlichkeit
Beschreibung:
"It has been reported that Dénes König, the author of the classic Theorie der endlichen und unendlichen Graphen (Leipzig, 1936), expressed a special liking for infinite graphs, which certainly receive substantial attention in his book. Nevertheless, the majority of combinatorialists seem to have concentrated on finite combinatorics, to the extent that it has almost seemed an eccentricity to think that graphs and other combinatorial structures can be either finite or infinite. However, there seems to be no logical reason why combinatorial structures should usually' be finite, and indeed this would preclude many fascinating avenues of exploration." (C.St.J.A. Nash-Williams). In this dissertation we will explore four exciting branches of structural infinite graph theory.