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Abstract: The theory of random graphs has been mainly concerned with structural properties, in particular the most likely values of various graph invariants -- see Bollob`as [21]. There has been increasing interest in using random graphs as models for the average case analysis of graph algorithms. In this paper we survey some of the results in this area. 1 Introduction The theory of random graphs as initiated by Erdos and R'enyi [52] and developed along with others, has been mainly concerned with... (Update)
Context of citations to this paper: More
...an algorithm for finding almost surely a Hamilton cycle in G n;d for d log n. This solves a problem posed by Frieze and McDiarmid ([17], Research Problem 3) for this range of degrees d. Our bound is not known to be tight. In fact, we suspect that a much stronger result...
...online algorithms as mentioned above. Note that our result is also interesting in the context of the algorithmic theory of random graphs [16]: the DARP constitutes another combinatorial optimization problem which is hard in the worst case and easy on average. The proof that...
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BibTeX entry: (Update)
A. Frieze, C. McDiarmid, Algorithmic theory of random graphs, Random Structures Algorithms 10 (1997) 5--42. http://citeseer.ist.psu.edu/frieze97algorithmic.html More
@article{ frieze97algorithmic,
author = "Alan M. Frieze and Colin McDiarmid",
title = "Algorithmic theory of random graphs",
journal = "Random Structures and Algorithms",
volume = "10",
number = "1-2",
pages = "5-42",
year = "1997",
url = "citeseer.ist.psu.edu/frieze97algorithmic.html" }
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