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https://doi.org/10.1080/03081080802277911
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Cite Journal: Linear and Multilinear Algebra |  Publication Date: Sep 1, 2009 |
Affiliation: East China Normal University
For a symmetric 0–1 matrix A, we give the number of ones in A 2 when rank(A) = 1, 2, and give the maximal number of ones in A 2 when rank(A) = k (3 ≤ k ≤ n). The sufficient and necessary condition under which the maximal number is achieved is also obtained. For generic 0–1 matrices, we only study the cases of rank 1 and rank 2.
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