Show that if $α_n$ is the smallest eigenvalue of the matrix of adjacency of a graph $G$, then there exists $v \in V$ such that $$\lceil{\alpha _n}\rceil \leq d(v)$$
I tried to prove it by contradiction without success. Any suggestion?
2026-03-28 15:21:11.1774711271
If $α_n$ is the smallest eigenvalue of the matrix of adjacency of $G$, then there exists $v \in V$ such that $\lceil{\alpha _n}\rceil \leq d(v)$
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