On the inverse eigenvalue problem for block graphs
Lin, Jephian C.-H. ; Oblak, Polona, matematika ; Šmigoc, Helena
V delu v celoti rešimo obratni problem lastnih vrednosti za poddružino blokovnih grafov, imenovanih tudi lizike in posplošene uteži. Predstavimo novo metodo, ki uporablja krepke spektralne lastnosti ...matrik. Ta nam dovoljuje, da s pomočjo matrike s spektrom ▫$\sigma$▫ in pripadajočim grafom ▫$G$▫ konstruiramo novo matriko, ki pripada grafu, ki ga dobimo iz grafa ▫$G$▫ z dodajanjem klik, medtem ko se spektru ▫$\sigma$▫ lahko dodamo poljuben seznam lastnih vrednosti. Konstruiramo tudi številne nove spektre za blokovne grafe.
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