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Avtomat. i Telemekh., 2000, Issue 9, Pages 15–43 (Mi at350)  

This article is cited in 62 scientific papers (total in 62 papers)

Stochastic Systems

The matrix of maximal outgoing forests of a digraph and its applications

R. P. Agaev, P. Yu. Chebotarev

Institute of Control Sciences, Russian Academy of Sciences

Full text: PDF file (400 kB)

English version:
Automation and Remote Control, 2000, 61:9, 1424–1450

Bibliographic databases:
UDC: 519.172:512.643.8
MSC: Primary 05C20; Secondary 05C05
Presented by the member of Editorial Board: . . 

Received: 06.03.2000

Citation: R. P. Agaev, P. Yu. Chebotarev, “The matrix of maximal outgoing forests of a digraph and its applications”, Avtomat. i Telemekh., 2000, no. 9, 15–43; Autom. Remote Control, 61:9 (2000), 1424–1450

Citation in format AMSBIB
\Bibitem{AgaChe00}
\by R.~P.~Agaev, P.~Yu.~Chebotarev
\paper The matrix of maximal outgoing forests of a~digraph and its applications
\jour Avtomat. i Telemekh.
\yr 2000
\issue 9
\pages 15--43
\mathnet{http://mi.mathnet.ru/at350}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1830046}
\zmath{https://zbmath.org/?q=an:1057.05038}
\transl
\jour Autom. Remote Control
\yr 2000
\vol 61
\issue 9
\pages 1424--1450


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Chebotarev P., Agaev R., “Forest Matrices Around the Laplacian Matrix”, Linear Alg. Appl., 356 (2002), 253–274  crossref  mathscinet  zmath  isi  scopus
    2. Fouss F., Pirotte A., Renders J.-M., Saerens M., “Random-Walk Computation of Similarities Between Nodes of a Graph with Application to Collaborative Recommendation”, IEEE Trans. Knowl. Data Eng., 19:3 (2007), 355–369  crossref  isi  elib  scopus
    3. P. Yu. Chebotarev, R. P. Agaev, “Coordination in multiagent systems and Laplacian spectra of digraphs”, Autom. Remote Control, 70:3 (2009), 469–483  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    4. Masuda N., Kawamura Y., Kori H., “Impact of Hierarchical Modular Structure on Ranking of Individual Nodes in Directed Networks”, New J. Phys., 11 (2009), 113002  crossref  isi  elib  scopus
    5. Masuda N., Kawamura Y., Kori H., “Analysis of Relative Influence of Nodes in Directed Networks”, Phys. Rev. E, 80:4, Part 2 (2009), 046114  crossref  adsnasa  isi  elib  scopus
    6. Cao Y., Ren W., “Lqr-Based Optimal Linear Consensus Algorithms”, 2009 American Control Conference, Vols 1-9, Proceedings of the American Control Conference, IEEE, 2009, 5204–5209  crossref  isi  scopus
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    8. Kawamura Y., Nakao H., Arai K., Kori H., Kuramoto Y., “Phase Synchronization Between Collective Rhythms of Globally Coupled Oscillator Groups: Noiseless Nonidentical Case”, Chaos, 20:4 (2010), 043110  crossref  mathscinet  zmath  adsnasa  isi  scopus
    9. Masuda N., Kawamura Y., Kori H., “Collective Fluctuations in Networks of Noisy Components”, New J. Phys., 12 (2010), 093007  crossref  mathscinet  isi  scopus
    10. Olfati-Saber R., Fax J.A., Murray R.M., “Reply to “Comments on ‘`Consensus and Cooperation in Networked Multi-Agent Systems”’'”, Proc. IEEE, 98:7 (2010), 1354–1355  crossref  isi  elib  scopus
    11. Mantrach A., Yen L., Callut J., Francoisse K., Shimbo M., Saerens M., “The Sum-Over-Paths Covariance Kernel: a Novel Covariance Measure Between Nodes of a Directed Graph”, IEEE Trans. Pattern Anal. Mach. Intell., 32:6 (2010), 1112–1126  crossref  isi  elib  scopus
    12. Cao Y., Ren W., “Optimal Linear-Consensus Algorithms: an Lqr Perspective”, IEEE Trans. Syst. Man Cybern. Part B-Cybern., 40:3, SI (2010), 819–830  crossref  isi  elib  scopus
    13. Cao Y., Li Ya., Ren W., Chen Ya., “Distributed Coordination of Networked Fractional-Order Systems”, IEEE Trans. Syst. Man Cybern. Part B-Cybern., 40:2 (2010), 362–370  crossref  isi  elib  scopus
    14. Cao Y., Ren W., “Distributed Formation Control for Fractional-Order Systems: Dynamic Interaction and Absolute/Relative Damping”, Syst. Control Lett., 59:3-4 (2010), 233–240  crossref  mathscinet  zmath  isi  elib  scopus
    15. Meng Z., Cao Y., Ren W., “Stability and Convergence Analysis of Multi-Agent Consensus with Information Reuse”, Int. J. Control, 83:5 (2010), 1081–1092  crossref  mathscinet  zmath  isi  elib  scopus
    16. Meng Z., Ren W., Cao Y., You Zh., “Some Stability and Boundedness Conditions for Second-Order Leaderless and Leader-Following Consensus with Communication and Input Delays”, 2010 American Control Conference, Proceedings of the American Control Conference, IEEE, 2010, 574–579  crossref  isi
    17. Agaev R., Chebotarev P., “Which Digraphs with Ring Structure Are Essentially Cyclic?”, Adv. Appl. Math., 45:2 (2010), 232–251  crossref  mathscinet  zmath  isi  elib  scopus
    18. Chebotarev P., “Comments on “Consensus and Cooperation in Networked Multi-Agent Systems””, Proc. IEEE, 98:7 (2010), 1353–1354  crossref  isi  elib  scopus
    19. I. B. Furtat, “Robastnaya sinkhronizatsiya seti vzaimosvyazannykh nelineinykh sistem s kompensatsiei vozmuschenii”, Probl. upravl., 4 (2011), 46–52  mathnet
    20. I. A. Dzhunusov, A. L. Fradkov, “Synchronization in networks of linear agents with output feedbacks”, Autom. Remote Control, 72:8 (2011), 1615–1626  mathnet  crossref  mathscinet  zmath  isi
    21. R. P. Agaev, “Diskretnaya protsedura soglasovaniya kharakteristik s pomoschyu minimalnogo tsikla, ob'edinyayuschego bazovye bikomponenty”, UBS, 34 (2011), 46–61  mathnet
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    23. I. B. Furtat, “Robust synchronization of dynamical networks with compensation of disturbances”, Autom. Remote Control, 72:12 (2011), 2516–2526  mathnet  crossref  mathscinet  zmath  isi
    24. Meng Z., Ren W., Cao Y., You Zh., “Leaderless and Leader-Following Consensus with Communication and Input Delays Under a Directed Network Topology”, IEEE Trans. Syst. Man Cybern. Part B-Cybern., 41:1 (2011), 75–88  crossref  isi  elib  scopus
    25. Fradkov A., Junussov I., “Synchronization of Linear Object Networks by Output Feedback”, 2011 50th IEEE Conference on Decision and Control and European Control Conference (CDC-Ecc), IEEE, 2011, 8188–8192  crossref  mathscinet  isi
    26. Furtat I.B., “Konsensusnoe upravlenie lineinoi dinamicheskoi setyu po vykhodu s kompensatsiei vozmuschenii”, Mekhatronika, avtomatizatsiya, upravlenie, 2011, no. 4, 12–18  elib
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    43. Kawamura Y., “Phase Synchronization Between Collective Rhythms of Fully Locked Oscillator Groups”, Sci Rep, 4 (2014), 4832  crossref  isi
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    52. Xie S., Guo L., “Compressive Distributed Adaptive Filtering”, Proceedings of the 35Th Chinese Control Conference 2016, Chinese Control Conference, eds. Chen J., Zhao Q., IEEE, 2016, 5229–5234  isi
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    62. Wang Q., Psillakis H.E., Sun Ch., “Cooperative Control of Multiple Agents With Unknown High-Frequency Gain Signs Under Unbalanced and Switching Topologies”, IEEE Trans. Autom. Control, 64:6 (2019), 2495–2501  crossref  isi
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