The spectra and the signless Laplacian spectra of graphs with pockets
Author
Abstract
Suggested Citation
DOI: 10.1016/j.amc.2017.07.056
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- van Dam, E.R. & Haemers, W.H., 2002.
"Which Graphs are Determined by their Spectrum?,"
Discussion Paper
2002-66, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H., 2003. "Which graphs are determined by their spectrum?," Other publications TiSEM a9a1857e-13ce-4da7-bcca-b, Tilburg University, School of Economics and Management.
- Xie, Pinchen & Zhang, Zhongzhi & Comellas, Francesc, 2016. "The normalized Laplacian spectrum of subdivisions of a graph," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 250-256.
- Das, Kinkar Ch. & Liu, Muhuo, 2017. "Kite graphs determined by their spectra," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 74-78.
- Xie, Pinchen & Zhang, Zhongzhi & Comellas, Francesc, 2016. "On the spectrum of the normalized Laplacian of iterated triangulations of graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 1123-1129.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- R. Pavithra & R. Rajkumar, 2021. "Spectra of M-edge rooted product of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(4), pages 1235-1255, December.
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.- B. R. Rakshith, 2022. "Signless Laplacian spectral characterization of some disjoint union of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 233-245, March.
- Sun, Shaowei & Das, Kinkar Ch., 2019. "On the second largest normalized Laplacian eigenvalue of graphs," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 531-541.
- Li, Deqiong & Hou, Yaoping, 2017. "The normalized Laplacian spectrum of quadrilateral graphs and its applications," Applied Mathematics and Computation, Elsevier, vol. 297(C), pages 180-188.
- Huang, Jing & Li, Shuchao, 2018. "The normalized Laplacians on both k-triangle graph and k-quadrilateral graph with their applications," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 213-225.
- Palacios, José Luis & Markowsky, Greg, 2021. "Kemeny’s constant and the Kirchhoff index for the cluster of highly symmetric graphs," Applied Mathematics and Computation, Elsevier, vol. 406(C).
- Lei, Xingyu & Wang, Jianfeng, 2022. "Spectral determination of graphs with one positive anti-adjacency eigenvalue," Applied Mathematics and Computation, Elsevier, vol. 422(C).
- Liao, Yunhua & Aziz-Alaoui, M.A. & Zhao, Junchan & Hou, Yaoping, 2019. "The behavior of Tutte polynomials of graphs under five graph operations and its applications," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.
- Topcu, Hatice & Sorgun, Sezer, 2018. "The kite graph is determined by its adjacency spectrum," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 134-142.
- Xiaoyun Yang & Ligong Wang, 2020. "Laplacian Spectral Characterization of (Broken) Dandelion Graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 915-933, September.
- Haemers, W.H., 2005. "Matrices and Graphs," Other publications TiSEM 94b6bd28-71e7-41d3-b978-c, Tilburg University, School of Economics and Management.
- van Dam, E.R., 2008. "The spectral excess theorem for distance-regular graphs : A global (over)view," Other publications TiSEM 35daf99b-ad28-4e21-8b1f-6, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H. & Koolen, J.H., 2006.
"Cospectral Graphs and the Generalized Adjacency Matrix,"
Discussion Paper
2006-31, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H. & Koolen, J.H., 2007. "Cospectral graphs and the generalized adjacency matrix," Other publications TiSEM ccfab5ea-009a-462a-bcdf-7, Tilburg University, School of Economics and Management.
- Haemers, W.H. & Ramezani, F., 2009. "Graphs Cospectral with Kneser Graphs," Discussion Paper 2009-76, Tilburg University, Center for Economic Research.
- Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
- van Dam, E.R. & Haemers, W.H., 2010. "An Odd Characterization of the Generalized Odd Graphs," Other publications TiSEM 2478f418-ae83-4ac3-8742-2, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2007.
"Developments on Spectral Characterizations of Graphs,"
Discussion Paper
2007-33, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H., 2009. "Developments on spectral characterizations of graphs," Other publications TiSEM 7b5eb8d4-dfc2-4392-bb3f-4, Tilburg University, School of Economics and Management.
- van Dam, E.R. & Haemers, W.H., 2010.
"An Odd Characterization of the Generalized Odd Graphs,"
Discussion Paper
2010-47, Tilburg University, Center for Economic Research.
- van Dam, E.R. & Haemers, W.H., 2011. "An odd characterization of the generalized odd graphs," Other publications TiSEM e8bf846c-d5d1-4492-8b6e-6, Tilburg University, School of Economics and Management.
- Al-Yakoob, Salem & Kanso, Ali & Stevanović, Dragan, 2022. "On Hosoya’s dormants and sprouts," Applied Mathematics and Computation, Elsevier, vol. 430(C).
- Mao, Ding & Wang, Peng & Fang, Yi-Ping & Ni, Long, 2024. "Securing heat-supply against seismic risks: A two-staged framework for assessing vulnerability and economic impacts in district heating networks," Applied Energy, Elsevier, vol. 369(C).
- Wang, Xiangrong & Trajanovski, Stojan & Kooij, Robert E. & Van Mieghem, Piet, 2016. "Degree distribution and assortativity in line graphs of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 343-356.
More about this item
Keywords
Adjacency matrix; Signless Laplacian matrix; Spectrum; Pockets; Edge-pockets;All these keywords.
Statistics
Access and download statisticsCorrections
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:315:y:2017:i:c:p:363-371. 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.