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Pregled bibliografske jedinice broj: 536490

Časopis

Autori: Fath-Tabar, Gholam-Hossein; Došlić, Tomislav; Ashrafi, Ali Reza
Naslov: On the Szeged and the Laplacian Szeged spectrum of a graph
( On the Szeged and the Laplacian Szeged spectrum of a graph )
Izvornik: Linear algebra and its applications (0024-3795) 433 (2010), 3; 662-671
Vrsta rada: članak
Ključne riječi: Szeged matrix; Laplacian matrix; Laplacian Szeged matrix; Szeged eigenvalue; Laplacian Szeged eigenvalue; Szeged index
( 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.
Projekt / tema: 037-0000000-2779, 177-0000000-0884
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Current Contents Connect (CCC)
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://dx.doi.org/10.1016/j.laa.2010.03.039
http://www.sciencedirect.com/science/article/pii/S0024379510001667
http://ac.els-cdn.com/S0024379510001667/1-s2.0-S0024379510001667-main.pdf?_tid=ce6d80b605bdfa100612ccc205a19532&acdnat=1343219210_f5092e0afc446cc9694bed009354636f
Broj citata:
Altmetric:
DOI: 10.1016/j.laa.2010.03.039
URL cjelovitog teksta: http://dx.doi.org/10.1016/j.laa.2010.03.039
Google Scholar: On the Szeged and the Laplacian Szeged spectrum of a graph
Upisao u CROSBI: doslic@grad.hr (doslic@grad.hr), 10. Stu. 2011. u 13:55 sati



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