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Trees with small spectral gapJovović, Ivana, matematičarka ; Koledin, Tamara ; Stanić, Zoran, 1975-Nadaljujoč prejšnjo raziskavo, obravnavamo drevesa z danim številom vozlišč in minimalno spektralno vrzeljo. S pomočjo računalniškega iskanja smo prišli do domneve da ta spektralna invarianta doseže ... minimum pri dvojnih kometnih drevesih. Domnevo smo potrdili za drevesa z največ 20 vozlišci; ob tem nismo naleteli na nobene protiprimere. Podajamo teoretične rezultate o dvojnih kometih in domnevnih drevesih, ki minimizirajo spektralno vrzel. Primerjamo tudi spektralno vrzel regularnih grafov in poti. Nazadnje izpeljemo nekaj neenakosti v zvezi z isto invarianto.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 14, no. 1, 2018, str. 197-207)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 18411353
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Jovović, Ivana, matematičarka | ![]() |
Koledin, Tamara | ![]() |
Stanić, Zoran, 1975- | ![]() |
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