{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T04:17:49Z","timestamp":1748405869354,"version":"3.41.0"},"publisher-location":"Cham","reference-count":25,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319165943"},{"type":"electronic","value":"9783319165950"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-16595-0_38","type":"book-chapter","created":{"date-parts":[[2015,4,29]],"date-time":"2015-04-29T13:42:10Z","timestamp":1430314930000},"page":"659-675","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A Topological Perspective on Cycling Robots for Full Tree Coverage"],"prefix":"10.1007","author":[{"given":"Han","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheng","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuliy","family":"Baryshnikov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,4,30]]},"reference":[{"key":"38_CR1","volume-title":"Basic Topology","author":"M Anthony Armstrong","year":"1979","unstructured":"Anthony Armstrong, M.: Basic Topology. McGraw-Hill, London (1979)"},{"key":"38_CR2","unstructured":"Baryshnikov, Y.: On the spaces of coverings. Preprint (2014)"},{"key":"38_CR3","doi-asserted-by":"crossref","unstructured":"Baryshnikov, Y., Shapiro, B.: How to run a centipede: a topological perspective. Geometric Control Theory and sub-Riemannian Geometry. Springer INdAM Series, vol. 5, pp. 37\u201351 (2014)","DOI":"10.1007\/978-3-319-02132-4_3"},{"issue":"4","key":"38_CR4","doi-asserted-by":"publisher","first-page":"661","DOI":"10.1109\/TRO.2007.903809","volume":"23","author":"MA Batalin","year":"2007","unstructured":"Batalin, M.A., Sukhatme, G.: The design and analysis of an efficient local algorithm for coverage and exploration based on sensor network deployment. IEEE Trans. Robot. 23(4), 661\u2013675 (2007)","journal-title":"IEEE Trans. Robot."},{"key":"38_CR5","doi-asserted-by":"crossref","unstructured":"Bj\u00f6rner, A.: Subspace arrangements. In: First European Congress of Mathematics, pp. 321\u2013370. Springer, Berin (1994)","DOI":"10.1007\/978-3-0348-9110-3_10"},{"key":"38_CR6","doi-asserted-by":"crossref","unstructured":"Cheng, W., Li, Z., Liu, K., Liu, Y., Li, X., Liao, X.: Sweep coverage with mobile sensors. In: IEEE International Symposium on Parallel and Distributed Processing, IPDPS 2008, pp. 1\u20139 (2008)","DOI":"10.1109\/IPDPS.2008.4536245"},{"issue":"1\u20134","key":"38_CR7","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1023\/A:1016639210559","volume":"31","author":"H Choset","year":"2001","unstructured":"Choset, H.: Coverage for robotics-a survey of recent results. Ann. Math. Artif. Intell. 31(1\u20134), 113\u2013126 (2001)","journal-title":"Ann. Math. Artif. Intell."},{"issue":"1","key":"38_CR8","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1137\/080737551","volume":"51","author":"J Cort\u00e9s","year":"2009","unstructured":"Cort\u00e9s, J., Bullo, F.: Nonsmooth coordination and geometric optimization via distributed dynamical systems. SIAM Rev. 51(1), 163\u2013189 (2009)","journal-title":"SIAM Rev."},{"issue":"2","key":"38_CR9","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1109\/TRA.2004.824698","volume":"20","author":"J Cortes","year":"2004","unstructured":"Cortes, J., Martinez, S., Karatas, T., Bullo, F.: Coverage control for mobile sensing networks. IEEE Trans. Robot. Autom. 20(2), 243\u2013255 (2004)","journal-title":"IEEE Trans. Robot. Autom."},{"key":"38_CR10","doi-asserted-by":"crossref","unstructured":"Farbe, M.: Invitation to topological robotics. Eur. Math. Soc. (2008)","DOI":"10.4171\/054"},{"issue":"4","key":"38_CR11","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1007\/s004930070004","volume":"20","author":"J Friedman","year":"2000","unstructured":"Friedman, J.: On Cayley graphs on the symmetric group generated by transpositions. Combinatorica 20(4), 505\u2013519 (2000)","journal-title":"Combinatorica"},{"issue":"5","key":"38_CR12","doi-asserted-by":"publisher","first-page":"1556","DOI":"10.1137\/S0363012900368442","volume":"40","author":"RW Ghrist","year":"2002","unstructured":"Ghrist, R.W., Koditschek, D.E.: Safe cooperative robot dynamics on graphs. SIAM J. Control Optim. 40(5), 1556\u20131575 (2002)","journal-title":"SIAM J. Control Optim."},{"key":"38_CR13","doi-asserted-by":"crossref","unstructured":"Guo, Y., Qu, Z.: Coverage control for a mobile robot patrolling a dynamic and uncertain environment. In: Fifth World Congress on Intelligent Control and Automation, WCICA 2004, vol. 6, pp. 4899\u20134903 (2004)","DOI":"10.1109\/WCICA.2004.1343643"},{"key":"38_CR14","volume-title":"Algebraic Topology","author":"A Hatcher","year":"2002","unstructured":"Hatcher, A.: Algebraic Topology. Cambridge UP, Cambridge (2002)"},{"issue":"4","key":"38_CR15","doi-asserted-by":"publisher","first-page":"1076","DOI":"10.1109\/TSMCB.2011.2106207","volume":"41","author":"A Hubenko","year":"2011","unstructured":"Hubenko, A., Fonoberov, V.A., Mathew, G., Mezic, I.: Multiscale adaptive search. IEEE Trans. Syst. Man, Cybern. Part B: Cybern. 41(4), 1076\u20131087 (2011)","journal-title":"IEEE Trans. Syst. Man, Cybern. Part B: Cybern."},{"key":"38_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0017-8","volume-title":"Switching in Systems and Control","author":"D Liberzon","year":"2003","unstructured":"Liberzon, D.: Switching in Systems and Control. Springer, Berlin (2003)"},{"issue":"4","key":"38_CR17","doi-asserted-by":"publisher","first-page":"432","DOI":"10.1016\/j.physd.2010.10.010","volume":"240","author":"G Mathew","year":"2011","unstructured":"Mathew, G., Mezi\u0107, I.: Metrics for ergodicity and design of ergodic dynamics for multi-agent systems. Phys. D: Nonlinear Phenom. 240(4), 432\u2013442 (2011)","journal-title":"Phys. D: Nonlinear Phenom."},{"key":"38_CR18","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511546877","volume-title":"Planning Algorithms","author":"S Michael LaValle","year":"2006","unstructured":"Michael LaValle, S.: Planning Algorithms. Cambridge University Press, Cambridge (2006)"},{"issue":"3","key":"38_CR19","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1177\/0278364908100177","volume":"28","author":"M Schwager","year":"2009","unstructured":"Schwager, M., Rus, D., Slotine, J.-J.: Decentralized, adaptive coverage control for networked robots. Int. J. Robot. Res. 28(3), 357\u2013375 (2009)","journal-title":"Int. J. Robot. Res."},{"issue":"2","key":"38_CR20","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1109\/TRO.2010.2099391","volume":"27","author":"D Song","year":"2011","unstructured":"Song, D., Kim, C.-Y., Yi, J.: On the time to search for an intermittent signal source under a limited sensing range. IEEE Trans. Robot. 27(2), 313\u2013323 (2011)","journal-title":"IEEE Trans. Robot."},{"key":"38_CR21","doi-asserted-by":"crossref","unstructured":"Sontag, E.D.: Stability and stabilization: discontinuities and the effect of disturbances. Nonlinear Analysis, Differential Equations and Control, pp. 551\u2013598. Springer, Berlin (1999)","DOI":"10.1007\/978-94-011-4560-2_10"},{"key":"38_CR22","unstructured":"Wang, H.: Covering with excess one: seeing the topology. arXiv:1312.7477 [math.GN] (2013)"},{"key":"38_CR23","doi-asserted-by":"publisher","first-page":"3023","DOI":"10.1088\/0951-7715\/25\/11\/3023","volume":"25","author":"V Zharnitsky","year":"2012","unstructured":"Zharnitsky, V., Baryshnikov, Y.: Search on the brink of chaos. Nonlinearity 25, 3023\u20133047 (2012)","journal-title":"Nonlinearity"},{"issue":"10","key":"38_CR24","doi-asserted-by":"publisher","first-page":"2445","DOI":"10.1109\/TAC.2011.2163860","volume":"56","author":"M Zhong","year":"2011","unstructured":"Zhong, M., Cassandras, C.G.: Distributed coverage control and data collection with mobile sensor networks. IEEE Trans. Autom. Control 56(10), 2445\u20132455 (2011)","journal-title":"IEEE Trans. Autom. Control"},{"key":"38_CR25","doi-asserted-by":"crossref","unstructured":"Ziegler, G.M.: Lectures on Polytopes. Graduate Texts in Mathematics, vol. 152. Springer, New York (1995)","DOI":"10.1007\/978-1-4613-8431-1"}],"container-title":["Springer Tracts in Advanced Robotics","Algorithmic Foundations of Robotics XI"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-16595-0_38","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T17:33:47Z","timestamp":1748367227000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-16595-0_38"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319165943","9783319165950"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-16595-0_38","relation":{},"ISSN":["1610-7438","1610-742X"],"issn-type":[{"type":"print","value":"1610-7438"},{"type":"electronic","value":"1610-742X"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"30 April 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}