Consider the general partitioning (GP) problem defined as follows: Partition the vertices of a graph into k parts W 1 W k satisfying a polynomial time verifiable property. In particular, consider properties (introduced by T. Feder, P. Hell, S. Klein, and R. Motwani, in "Proceedings of the Annual ACM
Random generations of the countable random graph
β Scribed by Su Gao; Chuang Shao
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 202 KB
- Volume
- 143
- Category
- Article
- ISSN
- 0168-0072
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Maehara, H., The intersection graph of random sets, Discrete Mathematics 87 (1991) 97-104. Let X,, i=l,..., n, be n = n(N) independent random subsets of {1,2,. . , N}, each selected at random out of the 2N subsets. We present some asymptotic (N-tm) properties of {Xi}, e.g. if r~/2~'~--+ m then {Xi}
The star 2-process ''greedily'' generates graphs with maximum degree 2 in a natural way. We can obtain information about the final graph of this process; for instance, that is almost surely 2-regular. We also find the probability of hamiltonicity and Poisson approximations of the distributions of nu
## Abstract We study the connectivity of random __d__βregular graphs which are recursively generated by an algorithm motivated by a peerβtoβpeer network. We show that these graphs are asymptotically almost surely __d__βconnected for any even constant __d__β©Ύ4. Β© 2010 Wiley Periodicals, Inc. J Graph