On the role of half-catalan numbers and pathwidth in hyperbranched polymers synthesized by ABm step polymerization

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dc.contributor.author Dayal, Pratyush
dc.contributor.author Misra, Neeldhara
dc.contributor.author Khewle, Surbhi
dc.contributor.author Singh, Ravi Anand
dc.coverage.spatial United States of America
dc.date.accessioned 2021-11-24T13:31:13Z
dc.date.available 2021-11-24T13:31:13Z
dc.date.issued 2021-11
dc.identifier.citation Dayal, Pratyush; Misra, Neeldhara; Khewle, Surbhi and Singh, Ravi Anand, “On the role of half-catalan numbers and pathwidth in hyperbranched polymers synthesized by ABm step polymerization”, Macromolecules, DOI: 10.1021/acs.macromol.1c01608, vol. 54, no. 22, pp. 10456-10467, Nov. 2021. en_US
dc.identifier.issn 0024-9297
dc.identifier.issn 1520-5835
dc.identifier.uri http://dx.doi.org/10.1021/acs.macromol.1c01608
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/7282
dc.description.abstract Topological features of polymer chains have been used as the key controlling mechanism for the physicochemical properties of hyperbranched polymers (HPs) and, therefore, provide a significant impetus to determine their branching characteristics. Single monomer methodology (SMM) involving ABm step polymerization has been one of the routes to synthesize both compact and segmented HPs. Here, we explore Catalan and half-Catalan numbers in the context of ABm step polymerization to deduce the structural information of HPs. Our approach harnesses the concepts of combinatorics and graph theory to calculate the exact numbers of isomeric, branched and linear, structures of polymer chains. We also demonstrate that the extent of branching of a polymer chain can be measured via pathwidth and establish its bounds as a function of its length. We believe that our findings can be leveraged to design and control the architecture of HPs synthesized via SMM or any other chemistries in a straightforward manner.
dc.description.statementofresponsibility by Pratyush Dayal, Neeldhara Misra, Surbhi Khewle and Ravi Anand Singh
dc.format.extent vol. 54, no. 22, pp. 10456-10467
dc.language.iso en_US en_US
dc.publisher American Chemical Society en_US
dc.subject Topological features en_US
dc.subject Polymer chains en_US
dc.subject Hyperbranched polymers (HPs) en_US
dc.subject Single monomer methodology (SMM) en_US
dc.subject Catalan and half-Catalan numbers en_US
dc.title On the role of half-catalan numbers and pathwidth in hyperbranched polymers synthesized by ABm step polymerization en_US
dc.type Article en_US
dc.relation.journal Macromolecules


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