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- W1489764538 abstract "The nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its spectrum. It is known that η(G) ≤ n − 2 if G is a simple graph on n vertices and G is notisomorphic to nK1. In this paper, we characterize the extremal graphs attaining the upper bound n − 2 and the second upper bound n − 3. The maximum nullity of simple graphs with n vertices and e edges, M(n, e), is also discussed. We obtain an upper bound of M(n, e), and characterize n and e for which the upper bound is achieved." @default.
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- W1489764538 date "2007-01-01" @default.
- W1489764538 modified "2023-10-17" @default.
- W1489764538 title "On the nullity of graphs" @default.
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- W1489764538 doi "https://doi.org/10.13001/1081-3810.1182" @default.
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