The spectrum of an infinite graph

(UL)

The spectrum of an infinite graph

Mohar, Bojan, 1956-

Matrika sosednosti neskončnega lokalno končnega grafa določa linearen gosto definiran operator na ▫$\ell^2$▫. Zaprtje tega operatorja imenujemo operator sosednosti, njegov spekter pa spekter grafa. ... Okarakterizirani so grafi, ki imajo omejen ali celo kompakten operator sosednosti. Če dodamo ali zbrišemo končno mnogo povezav, se bistveni spekter ne spremeni. Delno je posplošen izrek o simetričnosti spektra bipartitnih (končnih) grafov. Spektralni radij grafa je enak supremumu spektralnih radijev končnih (resp. vseh) podgrafov grafa. Dokazane so še nekatere druge lastnosti.

Source: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (Let. 19, št. 061, 1981, str. 207-228)

Type of material - article, component part

Publish date - 1982

Language - english

COBISS.SI-ID - 7325017

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Author
Mohar, Bojan, 1956-

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source: Preprint series of the Department of Mathematics. - ISSN 0352-3004 (Let. 19, št. 061, 1981, str. 207-228)

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Mohar, Bojan, 1956-	01931

Source: Personal bibliographies and: SICRIS

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