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Volumn 12, Issue , 2006, Pages 97-121

Spectral convergence of the discrete Laplacian on models of a metrized graph

Author keywords

Convergence; Eigenvalue; Laplacian; Metrized Graph; Spectral Graph Theory

Indexed keywords


EID: 33745700773     PISSN: 10769803     EISSN: 10769803     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (9)

References (11)
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    • Chinburg, T.1    Rumely, R.2
  • 5
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    • Convergence of the eigenvalues of Laplacians in a class of finite graphs
    • [KoFu1]. (Seattle, WA, 1993) Contemp. Math., Amer. Math. Soc., Providence, RI, MR.1298200 (95g:58244), Zbl 0824.58047
    • [KoFu1] Fujiwara, Koji. Convergence of the eigenvalues of Laplacians in a class of finite graphs. Geometry of the spectrum. (Seattle, WA, 1993) Contemp. Math., 173, Amer. Math. Soc., Providence, RI, 1994. 115-120. MR.1298200 (95g:58244), Zbl 0824.58047.
    • (1994) Geometry of the Spectrum , vol.173 , pp. 115-120
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  • 6
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    • (1995) Proc. Amer. Math. Soc. , vol.123 , Issue.8 , pp. 2585-2594
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  • 7
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    • Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
    • [KeFu]. MR0874035 (88d:58125), Zbl 0589.58034
    • [KeFu] Fukaya, Kenji. Collapsing of Riemannian manifolds and eigenvalues of Laplace operator. Invent. Math. 87 (1987), no. 3, 517-547. MR0874035 (88d:58125), Zbl 0589.58034.
    • (1987) Invent. Math. , vol.87 , Issue.3 , pp. 517-547
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  • 8
    • 0942278598 scopus 로고    scopus 로고
    • Quantum graphs. I. Some basic structures
    • [Ku]. MR2042548 (2005h:81148), Zbl 1063.81058
    • [Ku] Kuchment, Peter. Quantum graphs. I. Some basic structures. Waves Random Media 14 (2004), S107-S128. MR2042548 (2005h:81148), Zbl 1063.81058.
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  • 9
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    • The Laplacian spectrum of graphs
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  • 10
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.