This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.
By:
Wei Chen Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Country of Publication: Germany Edition: Softcover reprint of the original 1st ed. 2014 Dimensions:
Height: 235mm,
Width: 155mm,
Spine: 4mm
Weight: 1.358kg ISBN:9783662515396 ISBN 10: 3662515393 Series:Springer Theses Pages: 63 Publication Date:17 September 2016 Audience:
Professional and scholarly
,
Undergraduate
Format:Paperback Publisher's Status: Active