By Wei Chen

This thesis is dedicated to the examine of the Bohman-Frieze-Wormald percolation version, which indicates a discontinuous transition on the serious threshold, whereas the part transitions in random networks are initially thought of to be powerful non-stop section transitions. The underlying mechanism that results in the discontinuous transition during this version is punctiliously analyzed and plenty of fascinating severe behaviors, together with a number of tremendous parts, a number of part transitions, and risky tremendous elements are published. those findings also needs to be priceless with reference to purposes in different disciplines equivalent to physics, chemistry and biology.

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