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.
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