Mathematical  Culture and Thought

Mathematical Culture and Thought


Aho, A. V.‎, ‎Hopcroft, J. E.‎, ‎Ullman, J. D.‎,  ‎The Design and Analysis of Computer Algorithms,‎‎ ‎Addison-Wesley‎, New York, 1974.
 
‎Avrachenkov, K.‎, ‎Litvak, N.‎, ‎Nemirovsky, D.‎, ‎Osipova, N.‎,  Monte-Carlo methods in PageRank computation‎: ‎when one iteration is sufficient‎, ‎SIAM Journal on Numerical Analysis‎‎, ‎45 (2007)‎‎, ‎890--904‎
 
‎Barab'{a}si, A. L.‎, Network Science, ‎Cambridge University Press‎, Cambridge, 2016.
 
anatomy of a large-scale hypertextual web search engine‎, ‎Computer Networks and ISDN Systems‎‎, ‎30 (1998)‎‎, ‎107--117‎.
 
‎Dixon, J. D.‎,  Exact solution of linear equations using ‎$p‎$-adic expansions‎, ‎Numerische Mathematik‎‎, 40 (1982)‎‎, ‎137--141‎.
 
‎Erciyes, K.‎,  Distributed Graph Algorithms for Computer Networks‎‎, ‎Springer-Velrag, New York, Berlin, 2013‎.
 
‎Grimmett‎, ‎G.‎, ‎Stirzaker‎, ‎D.‎,  Probability and Random Processes‎‎, ‎Oxford University Press‎, London, 2001.
 
‎Huang, W.‎, ‎Yang, H.‎,  A Hadoop job scheduling algorithm based on PageRank‎,                  Metallurgical and Mining Industry‎‎, {‎8} (2015)‎‎, ‎420--425‎.
 
‎Kim, H.‎, ‎Veciana, G.‎, ‎Yang, X.‎, ‎Venkatachalam, M.‎,  Distributed $alpha$‎-‎optimal user association and cell load balancing in wireless networks‎, ‎IEEE/ACM Transactions on Networking‎‎, ‎20 (2012)‎‎, ‎177--190‎.
 
‎Langville, A. N.‎, ‎Meyer, C. D.‎,  Google's PageRank and Beyond‎: ‎The Science of Search Engine Rankings‎‎, ‎Princeton University Press‎, 2012.
 
‎Lawler, F. G.‎,  Introduction to Stochastic Processes‎‎, ‎Chapman and Hall/CRC‎, 2006.
 
‎Mitzenmacher, M.‎, ‎Upfal, E.‎,  Probability and Computing‎: ‎An Introduction to Randomized Algorithms and Probabilistic Analysis‎‎,  ‎Cambridge University Press‎, London, 2005.
 
‎Newman, M.‎, Networks‎: ‎An Introduction‎‎, ‎Oxford University Press‎, London, 2010.
 
‎Peleg, D.‎,  Distributed Computing‎: ‎A Locality-Sensitive Approach‎‎, ‎SIAM‎, 2000.
 
‎Penmatsa, S.‎, ‎Chronopoulos, A.T.‎,  Game-theoretic static load balancing for distributed systems‎, ‎Journal of Parallel and Distributed Computing‎‎, ‎71 (2011)‎‎, ‎537--555‎.
 
‎P'{e}rez-Ros'{e}s, H.‎, ‎Seb'{e}, F.‎, ‎Rib'{o}, J. M.‎,  Endorsement deduction and ranking in social networks‎, ‎Computer Communications‎‎, ‎73 ‎(2016)‎‎, ‎200--210‎.
 
‎Sarma, A. D.‎, ‎Molla, A.‎, ‎Pandurangan, G.‎, ‎Upfal, E.‎,  Fast ‎distributed ‎P‎ageRank ‎computation‎, ‎ Theoretical Computer Science‎‎‎, ‎561 (2015)‎‎‎, ‎113--121‎.
 
‎Sarma, A. D.‎, ‎Molla- A.‎, ‎Nanongkai, D.‎, ‎Pandurangan, G.‎, ‎Tetali, P.‎,  Distributed random walks‎,  ‎Journal of the ACM‎‎, ‎60 (2013)‎‎, ‎1--31‎.
 
‎Shi, S.‎, ‎Yu, J.‎, ‎Yang, G.‎, ‎Wang, D‎,  Distributed page ranking in structured P2P networks‎, ‎International Conference on Parallel Processing‎ (2003)‎, ‎Kaohsiung‎, ‎179--186‎.
 
‎Zhu, Y.‎, ‎Ye, S.‎, ‎Li, X.‎, Distributed pagerank computation based on iterative aggregation-disaggregation methods ‎CIKM Proceedings of the 14th ACM International Conference on Information and Knowledge Management ‎(2005)‎, ‎Bremen‎, ‎578--585‎.
Volume 37, Issue 2 - Serial Number 63
November 2018
Pages 129-147

  • Receive Date 03 November 2018
  • Publish Date 23 October 2018