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The phase transition in the uniformly grown random graph has infinite order., , and . Random Struct. Algorithms, 26 (1-2): 1-36 (2005)Reliable density estimates for coverage and connectivity in thin strips of finite length., , , and . MobiCom, page 75-86. ACM, (2007)Colouring. chapter 5, page 145--179. Springer New York, New York, NY, (1998)Complete Matchings in Random Subgraphs on the Cube.. Random Struct. Algorithms, 1 (1): 95-104 (1990)Cycles through specified vertices., and . Combinatorica, 13 (2): 147-155 (1993)The Art of Mathematics - Coffee Time in Memphis.. Cambridge University Press, (2006)The Dimension of Random Graph Orders., and . The Mathematics of Paul Erdős II, Springer, (2013)Sharp thresholds and percolation in the plane., and . Random Struct. Algorithms, 29 (4): 524-548 (2006)Degree Distribution of the FKP Network Model., , , , and . ICALP, volume 2719 of Lecture Notes in Computer Science, page 725-738. Springer, (2003)Extremal graph theory with emphasis on probabilistic methods.. CBMS-NSF regional conference series in applied mathematics American Mathematical Society, (1986)