Some Models of Reproducing Graphs: II Age Capped Vertices

References

[1] P. Erd?s and A. Rényi, “On Random Graphs. I,” Publicationes Mathematicae, Vol. 6, 1959, pp. 290-297.

[2]
G. U. Yule, “A Mathematical Theory of Evolution, Based on the Conclusions of Dr. J. C. Willis, F. R. S.,” Philosophical Transactions of the Royal Society of London, B, Vol. 213, 1925, pp. 21-87.

[3]
D. J. Watts and S. H. Strogatz, “Collective Dynamics of ‘Small-World’ Networks,” Nature, Vol. 393, No. 6684, 1998, pp. 440-442.

[4]
R. Southwell and C. Cannings, “Games on Graphs that Grow Deterministically,” Proceedings of International Conference on Game Theory for Networks GameNets ‘09, Istanbul, Turkey, 2009, pp. 347-356.

[5]
R. Southwell and C. Cannings, “Some Models of Reproducing Graphs: I Pure Reproduction,” Journal of Applied Mathematics, Vol. 1, No. 3, 2010, pp. 137-145.

[6]
A. Bonato, N. Hadi, P. Horn, P. Praalat and C. Wand, “Models of On-Line Social Networks,” To appear in Internet Mathematics, 2010.

[7]
P. H. Leslie, “The Use of Matrices in Certain Population Mathematics,” Biometrika, Vol. 30, 1945, pp. 183-212.

[8]
P. H. Leslie, “Some Further Notes on the Use of Matrices in Population Mathematics,” Biometrika, Vol. 35, No. 3-4, 1948, pp. 213-245.

[9]
T. D. Noe, “Primes in Fibonacci n-step and Lucas n-step Sequences,” Journal of Integer Sequences, Vol. 8, 2005, pp. 1-12