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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)


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


Projekt / tema
037-0000000-2779 - Diskretna matematika i primjene (Dragutin Svrtan, )
177-0000000-0884 - Diskretni matematički modeli u kemiji (Damir Vukičević, )

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

Autor s matičnim brojem:
Tomislav Došlić, (123192)

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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