The Emergence of a Giant Component in Random Subgraphs of Pseudo-Random Graphs

Random Structures and Algorithms

Volumn 24, Issue 1, 2004, Pages 42-50

  Frieze, Alan ^a   Krivelevich, Michael ^b   Martin, Ryan ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0348199014     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/rsa.10100     Document Type: Article

References (12)

1. N. Alon and F. R. K. Chung, Explicit construction of linear sized tolerant networks, Discrete Math 72 (1988), 15-19.
2. N. Alon, M. Krivelevich, and B. Sudakov, List coloring of random and pseudo-random graphs, Combinatorica 19 (1999), 453-472.
3. N. Alon and J. Spencer, The probabilistic method, Wiley, New York, 1992.
4. A. Beveridge, A. M. Frieze, and C. McDiarmid, Random minimum length spanning trees in regular graphs, Combinatorica 18 (1998), 311-333.
5. B. Bollobás, Random graphs (2nd edition), Cambridge University Press, Cambridge, 2001.
6. F. R. K. Chung, Spectral graph theory, Regional Conference Series in Mathematics 92, American Mathematical Society, Providence, RI, 1997.
7. F. R. K. Chung, R. L. Graham, and R. M. Wilson, Quasi-random graphs, Combinatorica 9 (1989), 345-362.
8. P. Erdos and A. Rényi, On the evolution of random graphs, Publ Math Inst Hungar Acad Sci 5 (1960), 17-61.
9. S. Janson, T. Łuczak, and A. Ruciński, Random graphs, Wiley, New York, 2000.
10. M. Simonovits and V. T. Sós, Hereditary extended properties, quasi-random graphs and not necessarily induced subgraphs, Combinatorica 17 (1997), 577-596.
11. A. Thomason, "Pseudorandom graphs," Random graphs 85 (Poznań 85), M. Karónski and Z. Palka, Eds., North-Holland Math. Stud. 144, North Holland, Amsterdam, 1987, 307-331.
12. A. Thomason, "Random graphs, strongly regular graphs and pseudorandom graphs," Surveys in Combinatorics 1987, C. Whitehead, Ed., London Mathematical Society Lecture Note Series 123, 173-195. Cambridge University Press, Cambridge, 1987.