๐”– Bobbio Scriptorium
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Size and location of the largest current in a random resistor network

โœ Scribed by Li, Y.; Duxbury, P.

Book ID
111952822
Publisher
The American Physical Society
Year
1987
Tongue
English
Weight
373 KB
Volume
36
Category
Article
ISSN
1098-0121

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โœ Tomasz ลuczak ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 775 KB

Let H(n, p) denote the size of the largest induced cycle in a random graph C(n, p). It is shown that if the expected average degree of G(n, p) is a constant larger than 1, then H(n, p) is of the order n with probability 1 -o(l). Moreover, for C(n, p) with large average degree, H(n, p) is determined