Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
article

Deterministic random walks on finite graphs

Published: 01 July 2015 Publication History

Abstract

No abstract available.

References

[1]
H.Akbari and P.Berenbrink, Parallel rotor walks on finite graphs and applications in discrete load balancing, In Proceedings of the 25th ACM symposium on Parallelism in algorithms and architectures SPAA 2013, Montreal, QC, Canada, 2013, pp. pp.186-195.
[2]
S.Angelopoulos, B.Doerr, A.Huber, and K.Panagiotou, Tight bounds for quasirandom rumor spreading, Electron J Comb Volume 16 2009, pp.R102.
[3]
E.Bampas, L.Gasieniec, N.Hanusse, D.Ilcinkas, R.Klasing, and A.Kosowski, Euler tour lock-in problem in the rotor-router model, Lect Notes Comput Sci Volume 5805 2009, pp.423-435.
[4]
A. E.Brouwer, A. M.Cohen, and A.Neumaier, Distance-regular graphs, Springer-Verlag, Berlin, 1989.
[5]
J.Cooper, B.Doerr, T.Friedrich, and J.Spencer, Deterministic random walks on regular trees, Random Struct Algorithms Volume 37 2010, pp.353-366.
[6]
J.Cooper, B.Doerr, J.Spencer, and G.Tardos, Deterministic random walks on the integers, Eur J Comb Volume 28 2007, pp.2072-2090.
[7]
J.Cooper and J.Spencer, Simulating a random walk with constant error. Comb Probab Comput Volume 15 Issue 2006, pp.815-822.
[8]
P.Dagum, M.Luby, M.Mihail, and U. V.Vazirani, Polytopes, permanents and graphs with large factors, In Proceedings of the 29th Annual Symposium on Foundations of Computer Science FOCS 1988, White Plains, NY, USA, 1988, pp. pp.412-421.
[9]
B.Doerr, Introducing quasirandomness to computer science, Lect Notes Comput Sci Volume 5760 2009, pp.99-111.
[10]
B.Doerr and T.Friedrich, Deterministic random walks on the two-dimensional grid, Comb Probab Comput Volume 18 2009, pp.123-144.
[11]
B.Doerr, T.Friedrich, M.Künnemann, and T.Sauerwald, Quasirandom rumor spreading: An experimental analysis, ACM J Exp Algorithmics Volume 16 2011, Article 3.3.
[12]
B.Doerr, T.Friedrich, and T.Sauerwald, Quasirandom rumor spreading, In Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms SODA 2008, San Francisco, CA, USA, 2008, pp. 773- pp.781.
[13]
B.Doerr, T.Friedrich, and T.Sauerwald, Quasirandom rumor spreading: Expanders, push vs. pull, and robustness, In Proceedings of the 36th International Colloquium on Automata, Languages and Programming, ICALP 2009, Rhodes, Greece, 2009, pp. 366- pp.377.
[14]
B.Doerr, T.Friedrich, and T.Sauerwald, Quasirandom rumor spreading on expanders, Electron Notes Discrete Math Volume 34 2009, pp.243-247.
[15]
B.Doerr, A.Huber, and A.Levavi, Strong robustness of randomized rumor spreading protocols, Discrete Appl Math Volume 161 2013, pp.778-793.
[16]
N.Fountoulakis and A.Huber, Quasirandom rumor spreading on the complete graph is as fast as randomized rumor spreading, SIAM J Discrete Math Volume 23 2009, pp.1964-1991.
[17]
T.Friedrich and T.Sauerwald, The cover time of deterministic random walks, Electron J Comb Volume 17 2010, pp.R167.
[18]
A. E.Holroyd and J.Propp, Rotor walks and Markov chains, In M.Lladser, R. S. Maier, M.Mishna, and A.Rechnitzer, editors, Algorithmic probability and combinatorics, The American Mathematical Society, 2010, pp. pp.105-126.
[19]
S.Kijima, K.Koga, and K.Makino, Deterministic random walks on finite graphs, In Proceedings of Analytic Algorithmics and Combinatorics ANALCO 2012, Kyoto, Japan, 2012, pp. pp.16-25.
[20]
M.Kleber, Goldbug variations, Math Intell Volume 27 2005, pp.55-63.
[21]
G. F.Lawler, Subdiffusive flunctuations for internal diffusion limited aggregation, Ann Probab Volume 23 1995, pp.71-86.
[22]
G. F.Lawler, M.Bramson, and D.Griffeath, Internal diffusion limited aggregation, Ann Probab Volume 20 1992, pp.2117-2140.
[23]
L.Levine and Y.Peres, The rotor-router shape is spherical, Math Intell Volume 27 2005, pp.9-11.
[24]
L.Levine and Y.Peres, Spherical asymptotics for the rotor-router model in, Indiana Univ Math J Volume 57 2008, pp.431-450.
[25]
L.Levine and Y.Peres, Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile, Potential Anal Volume 30 2009, pp.1-27.
[26]
D. A.Levin, Y.Peres, E. L.Wilmer, Markov chains and mixing times, American Mathematical Society, Providence, 2008.
[27]
A.Sinclair, Algorithms for random generation and counting, a Markov chain approach, Birkhäuser, Boston, 1993.
[28]
I.Wagner, M.Lindenbaum, and A.Bruckstein. Distributed covering by ant-robots using evaporating traces, IEEE Trans Robot Autom Volume 15 1999, pp.918-933.

Cited By

View all
  • (2018)Improved Analysis of Deterministic Load-Balancing SchemesACM Transactions on Algorithms10.1145/328243515:1(1-22)Online publication date: 16-Nov-2018

Index Terms

  1. Deterministic random walks on finite graphs
      Index terms have been assigned to the content through auto-classification.

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image Random Structures & Algorithms
      Random Structures & Algorithms  Volume 46, Issue 4
      July 2015
      203 pages

      Publisher

      John Wiley & Sons, Inc.

      United States

      Publication History

      Published: 01 July 2015

      Author Tags

      1. Markov chain
      2. Propp machine
      3. derandomization
      4. random walk
      5. rotor-router model

      Qualifiers

      • Article

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • Downloads (Last 12 months)0
      • Downloads (Last 6 weeks)0
      Reflects downloads up to 03 Sep 2024

      Other Metrics

      Citations

      Cited By

      View all
      • (2018)Improved Analysis of Deterministic Load-Balancing SchemesACM Transactions on Algorithms10.1145/328243515:1(1-22)Online publication date: 16-Nov-2018

      View Options

      View options

      Get Access

      Login options

      Media

      Figures

      Other

      Tables

      Share

      Share

      Share this Publication link

      Share on social media