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摘要
The rank of a graph G is defined to be the rank of its adjacency matrix. In this paper, we consider the following problem: what is the structure of a connected graph G with rank 5? or equivalently, what is the structure of a connected n-vertex graph G whose adjacency matrix has nullity n - 5? In this paper, we completely characterize connected graphs G whose adjacency matrix has rank 5.
- 出版日期2012-6-1
- 单位中央民族大学
