IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v271y2015icp838-844.html
   My bibliography  Save this article

Characteristics polynomial of normalized Laplacian for trees

Author

Listed:
  • Banerjee, Anirban
  • Mehatari, Ranjit

Abstract

Here, we find the characteristics polynomial of normalized Laplacian of a tree. The coefficients of this polynomial are expressed by the higher order general Randić indices for matching, whose values depend on the structure of the tree. We also find the expression of these indices for starlike tree and a double-starlike tree, Hm(p, q). Moreover, we show that two cospectral Hm(p, q) of the same diameter are isomorphic.

Suggested Citation

  • Banerjee, Anirban & Mehatari, Ranjit, 2015. "Characteristics polynomial of normalized Laplacian for trees," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 838-844.
    • Handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:838-844
    DOI: 10.1016/j.amc.2015.09.054
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315012928
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.09.054?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mehatari, Ranjit & Banerjee, Anirban, 2015. "Effect on normalized graph Laplacian spectrum by motif attachment and duplication," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 382-387.
    2. Tsang, Eric W. K., 2014. "Old and New," Management and Organization Review, Cambridge University Press, vol. 10(03), pages 390-390, November.
    3. Shi, Yongtang, 2015. "Note on two generalizations of the Randić index," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1019-1025.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Cruz, Roberto & Rada, Juan & Sigarreta, José M., 2021. "Sombor index of trees with at most three branch vertices," Applied Mathematics and Computation, Elsevier, vol. 409(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Su, Guifu & Tu, Jianhua & Das, Kinkar Ch., 2015. "Graphs with fixed number of pendent vertices and minimal Zeroth-order general Randić index," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 705-710.
    2. Ali, Akbar & Raza, Zahid & Bhatti, Akhlaq Ahmad, 2016. "Bond incident degree (BID) indices of polyomino chains: A unified approach," Applied Mathematics and Computation, Elsevier, vol. 287, pages 28-37.
    3. Milovanović, E.I. & Milovanović, I.Ž. & Dolićanin, E.Ć. & Glogić, E., 2016. "A note on the first reformulated Zagreb index," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 16-20.
    4. Yu, Guihai & Qu, Hui, 2015. "Hermitian Laplacian matrix and positive of mixed graphs," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 70-76.
    5. Li, Fengwei & Broersma, Hajo & Rada, Juan & Sun, Yuefang, 2018. "Extremal benzenoid systems for two modified versions of the Randić index," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 14-24.
    6. Nadeem, Muhammad Faisal & Zafar, Sohail & Zahid, Zohaib, 2016. "On topological properties of the line graphs of subdivision graphs of certain nanostructures," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 125-130.
    7. Ali Shalizar Jalali, 2018. "Male Fertility as a Bull’s Eye for Mastocytosis," Global Journal of Reproductive Medicine, Juniper Publishers Inc., vol. 3(3), pages 58-60, February.
    8. Hui Yan & Guixiang Liu, 2021. "Fire’s Effects on Grassland Restoration and Biodiversity Conservation," Sustainability, MDPI, vol. 13(21), pages 1-15, October.
    9. Michal Plaček & Martin Schmidt & František Ochrana & Michal Půček, 2017. "Do the Selected Characteristics of Public Tenders Affect the Likelihood of Filing Petitions with the Regulators of Public Tenders?," Prague Economic Papers, Prague University of Economics and Business, vol. 2017(3), pages 317-329.
    10. Nikolov, Plamen & Adelman, Alan, 2019. "Do private household transfers to the elderly respond to public pension benefits? Evidence from rural China," The Journal of the Economics of Ageing, Elsevier, vol. 14(C).
    11. Dana Benešová & Viera Kubičková & Miroslava Prváková, 2020. "Open innovation model in the knowledge intensive business services in the Slovak Republic," Entrepreneurship and Sustainability Issues, VsI Entrepreneurship and Sustainability Center, vol. 8(2), pages 1340-1358, December.
    12. Holzmann, Robert & Alonso-García, Jennifer & Labit-Hardy, Heloise & Villegas, Andres M., 2017. "NDC Schemes and Heterogeneity in Longevity: Proposals for Redesign," IZA Discussion Papers 11193, Institute of Labor Economics (IZA).
    13. Selman, P., 2014. "Intercountry Adoption Agencies and the HCIA," ISS Working Papers - General Series 77404, International Institute of Social Studies of Erasmus University Rotterdam (ISS), The Hague.
    14. Martinho, Vítor João Pereira Domingues, 2019. "Historical records of wine: Highlighting the old wine world," EconStor Preprints 193461, ZBW - Leibniz Information Centre for Economics.
    15. Gabriella Garbarino & Giovanni Pampararo & Thanh Khoa Phung & Paola Riani & Guido Busca, 2020. "Heterogeneous Catalysis in (Bio)Ethanol Conversion to Chemicals and Fuels: Thermodynamics, Catalysis, Reaction Paths, Mechanisms and Product Selectivities," Energies, MDPI, vol. 13(14), pages 1-19, July.
    16. Zhongcheng Yan & Feng Wei & Xin Deng & Chuan Li & Qiang He & Yanbin Qi, 2022. "Feminization of Agriculture: Do Female Farmers Have Higher Expectations for the Value of Their Farmland?—Empirical Evidence from China," Agriculture, MDPI, vol. 12(1), pages 1-22, January.
    17. Hélène Laurell & Leona Achtenhagen & Svante Andersson, 2017. "The changing role of network ties and critical capabilities in an international new venture’s early development," International Entrepreneurship and Management Journal, Springer, vol. 13(1), pages 113-140, March.
    18. Hua, Hongbo & Das, Kinkar Ch., 2016. "On the Wiener polarity index of graphs," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 162-167.
    19. Trine Filges & Anu Siren & Torben Fridberg & Bjørn C. V. Nielsen, 2020. "Voluntary work for the physical and mental health of older volunteers: A systematic review," Campbell Systematic Reviews, John Wiley & Sons, vol. 16(4), December.
    20. Alexandru-Ionuţ Petrişor & Walid Hamma & Huu Duy Nguyen & Giovanni Randazzo & Anselme Muzirafuti & Mari-Isabella Stan & Van Truong Tran & Roxana Aştefănoaiei & Quang-Thanh Bui & Dragoş-Florian Vintilă, 2020. "Degradation of Coastlines under the Pressure of Urbanization and Tourism: Evidence on the Change of Land Systems from Europe, Asia and Africa," Land, MDPI, vol. 9(8), pages 1-43, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:271:y:2015:i:c:p:838-844. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.