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- W2592152114 abstract "The paper discusses bounds on the nullity number of graphs. It is proved in [B. Cheng and B. Liu, On the nullity of graphs. Electron. J. Linear Algebra 16 (2007) 60--67] that $eta le n - D$, where $eta$, n and D denote the nullity number, the order and the diameter of a connected graph, respectively. We first give a necessary condition on the extremal graphs corresponding to that bound, and then we strengthen the bound itself using the maximum clique number. In addition, we prove bounds on the nullity using the number of pendant neighbors in a graph. One of those bounds is an improvement of a known bound involving the domination number." @default.
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- W2592152114 date "2016-12-01" @default.
- W2592152114 modified "2023-09-26" @default.
- W2592152114 title "On the nullity number of graphs" @default.
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