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arxiv: 1711.00488 · v1 · pith:76OCU5VPnew · submitted 2017-11-01 · 🧮 math.GR

A class of integral graphs constructed from the hypercube

classification 🧮 math.GR
keywords eigenvaluesdistinctgraphhypercubeclassconstructeddeterminefirst
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In this paper, we determine the set of all distinct eigenvalues of the line graph which is induced by the first and second layers of the hypercube $ Q_n $, $n>3$. We show that this graph has precisely five distinct eigenvalues and all of its eigenvalues are integers

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