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Many large eigenvalues in sparse graphsMohar, Bojan, 1956-V članku je pokazano, da so za poljubno družino grafov, ki je zaprta za minorje, naslednji pogoji primerljivo ekvivalentni za vsak graf v tej družini: (a) graf ima mnogo velikih lastnih vrednosti; ... (b) graf ima mnogo velikih negativnih lastnih vrednosti; (c) graf ima mnogo vozlišč visoke stopnje. Primerljiva ekvivalenca je izražena kvantitativno preko pogojev, kako velike so lastne vrednosti in koliko jih je. Vsaka smer ekvivalence lahko to velikost spremeni največ za konstantni faktor, ki je odvisen le od družine grafov in ne od posamenih članov družine.Source: European journal of combinatorics = Journal européen de combinatoire = Europäische Zeitschrift für Kombinatorik. - ISSN 0195-6698 (Vol. 34, iss. 7, 2013, str. 1125-1129)Type of material - article, component partPublish date - 2013Language - englishCOBISS.SI-ID - 16648537
Author
Mohar, Bojan, 1956-
Topics
matematika |
teorija grafov |
lastne vrednosti |
inducirani podgrafi |
mathematics |
graph theory |
eigenvalues |
induced subgraphs
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source: European journal of combinatorics = Journal européen de combinatoire = Europäische Zeitschrift für Kombinatorik. - ISSN 0195-6698 (Vol. 34, iss. 7, 2013, str. 1125-1129)
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Mohar, Bojan, 1956- | 01931 |
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