{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,9]],"date-time":"2025-11-09T07:47:16Z","timestamp":1762674436949,"version":"3.37.3"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T00:00:00Z","timestamp":1603065600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T00:00:00Z","timestamp":1603065600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100006831","name":"U.S. Air Force","doi-asserted-by":"publisher","award":["AFOSR FA9550-13-1-0043"],"award-info":[{"award-number":["AFOSR FA9550-13-1-0043"]}],"id":[{"id":"10.13039\/100006831","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-0906392","DMS-CMG 1025465"],"award-info":[{"award-number":["DMS-0906392","DMS-CMG 1025465"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-1106642"],"award-info":[{"award-number":["DMS-1106642"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000159","name":"Division of Atmospheric and Geospace Sciences","doi-asserted-by":"publisher","award":["AGS-1003823"],"award-info":[{"award-number":["AGS-1003823"]}],"id":[{"id":"10.13039\/100000159","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000121","name":"Division of Mathematical Sciences","doi-asserted-by":"publisher","award":["DMS-CAREER-1352656"],"award-info":[{"award-number":["DMS-CAREER-1352656"]}],"id":[{"id":"10.13039\/100000121","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100001367","name":"UPS Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100001367","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000185","name":"Defense Advanced Research Projects Agency","doi-asserted-by":"publisher","award":["DARPA YFA N66001-111-4131"],"award-info":[{"award-number":["DARPA YFA N66001-111-4131"]}],"id":[{"id":"10.13039\/100000185","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"publisher","award":["Ramanujan Fellowship SB\/S2\/RJN-121\/2017","MATRICS MTR\/2017\/000295"],"award-info":[{"award-number":["Ramanujan Fellowship SB\/S2\/RJN-121\/2017","MATRICS MTR\/2017\/000295"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001843","name":"Science and Engineering Research Board","doi-asserted-by":"publisher","award":["Swarnajayanti SB\/SJF\/2019-20\/14"],"award-info":[{"award-number":["Swarnajayanti SB\/SJF\/2019-20\/14"]}],"id":[{"id":"10.13039\/501100001843","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001409","name":"Department of Science and Technology, Ministry of Science and Technology","doi-asserted-by":"publisher","award":["Swarnajayanti DST\/SJF\/MS\/2019\/3"],"award-info":[{"award-number":["Swarnajayanti DST\/SJF\/MS\/2019\/3"]}],"id":[{"id":"10.13039\/501100001409","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100010426","name":"UGC-DAE Consortium for Scientific Research, University Grants Commission","doi-asserted-by":"publisher","award":["F.510\/25\/CAS-II\/2018(SAP-I)"],"award-info":[{"award-number":["F.510\/25\/CAS-II\/2018(SAP-I)"]}],"id":[{"id":"10.13039\/501100010426","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007296","name":"Infosys Foundation","doi-asserted-by":"publisher","award":["Young Investigator Award"],"award-info":[{"award-number":["Young Investigator Award"]}],"id":[{"id":"10.13039\/501100007296","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv. Oper. Theory"],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1007\/s43036-020-00111-4","type":"journal-article","created":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T08:03:16Z","timestamp":1603094596000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Differential calculus on the space of countable labelled graphs"],"prefix":"10.1007","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1577-9171","authenticated-orcid":false,"given":"Apoorva","family":"Khare","sequence":"first","affiliation":[]},{"given":"Bala","family":"Rajaratnam","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,19]]},"reference":[{"issue":"2","key":"111_CR1","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1002\/jgt.20296","volume":"58","author":"M Axenovich","year":"2008","unstructured":"Axenovich, M., K\u00e9zdy, A., Martin, R.: On the editing distance of graphs. J. Graph Theory 58(2), 123\u2013138 (2008)","journal-title":"J. Graph Theory"},{"issue":"3","key":"111_CR2","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1002\/rsa.20322","volume":"38","author":"B Bollob\u00e1s","year":"2011","unstructured":"Bollob\u00e1s, B., Janson, S., Riordan, O.: Sparse random graphs with clustering. Random Struct. Algorithms 38(3), 269\u2013323 (2011)","journal-title":"Random Struct. Algorithms"},{"key":"111_CR3","doi-asserted-by":"crossref","unstructured":"Bollob\u00e1s, B., Riordan, O.: Metrics for sparse graphs, in Huczynska, S., Mitchell, J.D., Roney-Dougal, C.M. (eds.) Surveys in Combinatorics 2009, London Math Soc Lecture Note Series, vol 365, pp. 211\u2013287 (2009)","DOI":"10.1017\/CBO9781107325975.009"},{"issue":"1","key":"111_CR4","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1214\/17-AOP1187","volume":"46","author":"C Borgs","year":"2018","unstructured":"Borgs, C., Chayes, J., Cohn, H., Zhao, Y.: An $$L^p$$ theory of sparse graph convergence II: LD convergence, quotients, and right convergence. Ann. Probab. 46(1), 337\u2013396 (2018)","journal-title":"Ann. Probab."},{"issue":"5","key":"111_CR5","doi-asserted-by":"publisher","first-page":"3019","DOI":"10.1090\/tran\/7543","volume":"372","author":"C Borgs","year":"2019","unstructured":"Borgs, C., Chayes, J., Cohn, H., Zhao, Y.: An $$L^p$$ theory of sparse graph convergence I: limits, sparse random graph models, and power law distributions. Trans. Am. Math. Soc. 372(5), 3019\u20133062 (2019)","journal-title":"Trans. Am. Math. Soc."},{"issue":"1","key":"111_CR6","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1007\/BF02582937","volume":"1","author":"PJ Cameron","year":"1985","unstructured":"Cameron, P.J.: Cyclic automorphisms of a countable graph and random sum-free sets. Graphs Comb. 1(1), 129\u2013135 (1985)","journal-title":"Graphs Comb."},{"key":"111_CR7","first-page":"53","volume":"6","author":"Z Dar\u00f3czy","year":"1985","unstructured":"Dar\u00f3czy, Z., J\u00e1rai, A., K\u00e1tai, I.: Interval filling sequences. Annales Univ. E\u00f6tv\u00f6s L. Sectio Computatorica 6, 53\u201363 (1985)","journal-title":"Annales Univ. E\u00f6tv\u00f6s L. Sectio Computatorica"},{"key":"111_CR8","first-page":"337","volume":"50","author":"Z Dar\u00f3czy","year":"1986","unstructured":"Dar\u00f3czy, Z., J\u00e1rai, A., K\u00e1tai, I.: Intervallf\u00fcllende Folgen und volladditive Funktionen. Acta Sci. Math. Szeged 50, 337\u2013350 (1986)","journal-title":"Acta Sci. Math. Szeged"},{"key":"111_CR9","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1016\/j.jcta.2015.02.006","volume":"133","author":"P Diao","year":"2015","unstructured":"Diao, P., Guillot, D., Khare, A., Rajaratnam, B.: Differential calculus on graphon space. J. Comb. Theory Ser. A 133, 183\u2013227 (2015)","journal-title":"J. Comb. Theory Ser. A"},{"key":"111_CR10","unstructured":"Diao, P., Guillot, D., Khare, A., Rajaratnam, B.: Model-Free Consistency of Graph Partitioning, preprint (2016). arXiv:1608.03860"},{"issue":"1","key":"111_CR11","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1007\/s004930050052","volume":"19","author":"A Frieze","year":"1999","unstructured":"Frieze, A., Kannan, R.: Quick approximation to matrices and applications. Combinatorica 19(1), 175\u2013220 (1999)","journal-title":"Combinatorica"},{"key":"111_CR12","unstructured":"Khare, A., Rajaratnam, B.: Integration and Measures on the Space of Countable Labelled Graphs, preprint (2015). arXiv:1506.01439"},{"key":"111_CR13","unstructured":"Khare, A., Rajaratnam, B.: The Khinchin\u2013Kahane Inequality and Banach Space Embeddings for Metric Groups, preprint (2016). arXiv:1610.03037"},{"issue":"6A","key":"111_CR14","doi-asserted-by":"publisher","first-page":"4101","DOI":"10.1214\/16-AOP1160","volume":"45","author":"A Khare","year":"2017","unstructured":"Khare, A., Rajaratnam, B.: The Hoffmann-J\u00f8rgensen inequality in metric semigroups. Ann. Probab. 45(6A), 4101\u20134111 (2017)","journal-title":"Ann. Probab."},{"issue":"3","key":"111_CR15","doi-asserted-by":"publisher","first-page":"779","DOI":"10.1007\/s43036-020-00048-8","volume":"5","author":"A Khare","year":"2020","unstructured":"Khare, A., Rajaratnam, B.: Probability inequalities and tail estimates for metric semigroups. Adv. Oper. Theory 5(3), 779\u2013795 (2020)","journal-title":"Adv. Oper. Theory"},{"key":"111_CR16","volume-title":"Large Networks and Graph Limits, Colloquium Publications 60","author":"L Lov\u00e1sz","year":"2012","unstructured":"Lov\u00e1sz, L.: Large Networks and Graph Limits, Colloquium Publications 60. American Mathematical Society, Providence (2012)"}],"container-title":["Advances in Operator Theory"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s43036-020-00111-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s43036-020-00111-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s43036-020-00111-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,19]],"date-time":"2021-10-19T06:04:58Z","timestamp":1634623498000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s43036-020-00111-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,19]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["111"],"URL":"https:\/\/doi.org\/10.1007\/s43036-020-00111-4","relation":{},"ISSN":["2662-2009","2538-225X"],"issn-type":[{"type":"print","value":"2662-2009"},{"type":"electronic","value":"2538-225X"}],"subject":[],"published":{"date-parts":[[2020,10,19]]},"assertion":[{"value":"25 May 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 September 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 October 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"12"}}