## Abstract We study the connectivity of random __d__โregular graphs which are recursively generated by an algorithm motivated by a peerโtoโpeer network. We show that these graphs are asymptotically almost surely __d__โconnected for any even constant __d__โฉพ4. ยฉ 2010 Wiley Periodicals, Inc. J Graph
Random graphs generated by the Star 2-Process
โ Scribed by Hanna Robalewska
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 249 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1042-9832
No coin nor oath required. For personal study only.
โฆ Synopsis
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 numbers of cycles and short cycles. แฎ 1997
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