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Pregled bibliografske jedinice broj: 536490

On the Szeged and the Laplacian Szeged spectrum of a graph

Fath-Tabar, Gholam-Hossein; Došlić, Tomislav; Ashrafi, Ali Reza
On the Szeged and the Laplacian Szeged spectrum of a graph // Linear algebra and its applications, 433 (2010), 3; 662-671 doi:10.1016/j.laa.2010.03.039 (međunarodna recenzija, članak, znanstveni)

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Naslov
On the Szeged and the Laplacian Szeged spectrum of a graph

Autori
Fath-Tabar, Gholam-Hossein ; Došlić, Tomislav ; Ashrafi, Ali Reza

Izvornik
Linear algebra and its applications (0024-3795) 433 (2010), 3; 662-671

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Szeged matrix; Laplacian matrix; Laplacian Szeged matrix; Szeged eigenvalue; Laplacian Szeged eigenvalue; Szeged index

Sažetak
For a given graph $G$ its Szeged weighting is defined by $w(e) = n_u(e)n_v(e)$, where $e=uv$ is an edge of $G$, $n_u(e)$ is the number of vertices of $G$ closer to $u$ than to $v$, and $n_v(e)$ is defined analogously. The adjacency matrix of a graph weighted in this way is called its Szeged matrix. In this paper we determine the spectra of of Szeged matrices and their Laplacians for several families of graphs. We also present sharp upper and lower bounds on the eigenvalues of Szeged matrices of graphs.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
037-0000000-2779 - Diskretna matematika i primjene (Svrtan, Dragutin, MZOS ) ( CroRIS)
177-0000000-0884 - Diskretni matematički modeli u kemiji (Vukičević, Damir, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Građevinski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Tomislav Došlić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com ac.els-cdn.com dx.doi.org

Citiraj ovu publikaciju:

Fath-Tabar, Gholam-Hossein; Došlić, Tomislav; Ashrafi, Ali Reza
On the Szeged and the Laplacian Szeged spectrum of a graph // Linear algebra and its applications, 433 (2010), 3; 662-671 doi:10.1016/j.laa.2010.03.039 (međunarodna recenzija, članak, znanstveni)
Fath-Tabar, G., Došlić, T. & Ashrafi, A. (2010) On the Szeged and the Laplacian Szeged spectrum of a graph. Linear algebra and its applications, 433 (3), 662-671 doi:10.1016/j.laa.2010.03.039.
@article{article, author = {Fath-Tabar, Gholam-Hossein and Do\v{s}li\'{c}, Tomislav and Ashrafi, Ali Reza}, year = {2010}, pages = {662-671}, DOI = {10.1016/j.laa.2010.03.039}, keywords = {Szeged matrix, Laplacian matrix, Laplacian Szeged matrix, Szeged eigenvalue, Laplacian Szeged eigenvalue, Szeged index}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2010.03.039}, volume = {433}, number = {3}, issn = {0024-3795}, title = {On the Szeged and the Laplacian Szeged spectrum of a graph}, keyword = {Szeged matrix, Laplacian matrix, Laplacian Szeged matrix, Szeged eigenvalue, Laplacian Szeged eigenvalue, Szeged index} }
@article{article, author = {Fath-Tabar, Gholam-Hossein and Do\v{s}li\'{c}, Tomislav and Ashrafi, Ali Reza}, year = {2010}, pages = {662-671}, DOI = {10.1016/j.laa.2010.03.039}, keywords = {Szeged matrix, Laplacian matrix, Laplacian Szeged matrix, Szeged eigenvalue, Laplacian Szeged eigenvalue, Szeged index}, journal = {Linear algebra and its applications}, doi = {10.1016/j.laa.2010.03.039}, volume = {433}, number = {3}, issn = {0024-3795}, title = {On the Szeged and the Laplacian Szeged spectrum of a graph}, keyword = {Szeged matrix, Laplacian matrix, Laplacian Szeged matrix, Szeged eigenvalue, Laplacian Szeged eigenvalue, Szeged index} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

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