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41 is the Largest Size of a Cap in PG(4,4)

✍ Scribed by Yves Edel; Jürgen Bierbrauer


Book ID
110263482
Publisher
Springer
Year
1999
Tongue
English
Weight
63 KB
Volume
16
Category
Article
ISSN
0925-1022

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The size of the largest hole in a random
✍ Tomasz Łuczak 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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