Forest Fire Models on Configuration Random Graphs

[1]  Takuji Nishimura,et al.  Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator , 1998, TOMC.

[2]  Cohen,et al.  Resilience of the internet to random breakdowns , 2000, Physical review letters.

[3]  Walter Willinger,et al.  Network topology generators: degree-based vs. structural , 2002, SIGCOMM 2002.

[4]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[5]  R. Durrett.  Random Graph Dynamics: References , 2006 .

[6]  Ilkka Norros,et al.  Attack Resistance of Power-Law Random Graphs in the Finite-Mean, Infinite-Variance Region , 2008, Internet Math..

[7]  Robert M. May,et al.  Size and complexity in model financial systems , 2012, Proceedings of the National Academy of Sciences.

[8]  Béla Bollobás,et al.  A Probabilistic Proof of an Asymptotic Formula for the Number of Labelled Regular Graphs , 1980, Eur. J. Comb..

[9]  Jean Bertoin,et al.  Burning Cars in a Parking Lot , 2011 .

[10]  Jean Bertoin,et al.  Fires on trees , 2010, 1011.2308.

[11]  Yury Pavlov,et al.  Power-Law Random Graphs’ Robustness: Link Saving and Forest Fire Model , 2014 .

[12]  Ilkka Norros,et al.  On the power-law random graph model of massive data networks , 2004, Perform. Evaluation.

[13]  Béla Bollobás,et al.  Robustness and Vulnerability of Scale-Free Random Graphs , 2004, Internet Math..

[14]  Remco van der Hofstad,et al.  Random Graphs and Complex Networks , 2016, Cambridge Series in Statistical and Probabilistic Mathematics.

[15]  Drossel,et al.  Self-organized critical forest-fire model. , 1992, Physical review letters.