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Books > Computing & IT > General theory of computing
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Cycles and Rays (Paperback, Softcover reprint of the original 1st ed. 1990)
Loot Price: R1,300
Discovery Miles 13 000
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Cycles and Rays (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: NATO Science Series C, 301
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What is the "archetypal" image that comes to mind when one thinks
of an infinite graph? What with a finite graph - when it is thought
of as opposed to an infinite one? What structural elements are
typical for either - by their presence or absence - yet provide a
common ground for both? In planning the workshop on "Cycles and
Rays" it had been intended from the outset to bring infinite graphs
to the fore as much as possible. There never had been a graph
theoretical meeting in which infinite graphs were more than "also
rans", let alone one in which they were a central theme. In part,
this is a matter of fashion, inasmuch as they are perceived as not
readily lending themselves to applications, in part it is a matter
of psychology stemming from the insecurity that many graph
theorists feel in the face of set theory - on which infinite graph
theory relies to a considerable extent. The result is that by and
large, infinite graph theorists know what is happening in finite
graphs but not conversely. Lack of knowledge about infinite graph
theory can also be found in authoritative l sources. For example, a
recent edition (1987) of a major mathematical encyclopaedia
proposes to ". . . restrict [itself] to finite graphs, since only
they give a typical theory". If anything, the reverse is true, and
needless to say, the graph theoretical world knows better. One may
wonder, however, by how much.
General
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