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Orthogonal representations, minimum rank, and graph complements

✍ Scribed by Leslie Hogben


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
134 KB
Volume
428
Category
Article
ISSN
0024-3795

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On the minimum rank of the join of graph
✍ Francesco Barioli; Shaun Fallat πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 184 KB

For a given undirected graph G, the minimum rank of G is defined to be the smallest possible rank over all real symmetric matrices A whose (i, j )th entry is nonzero whenever i / = j and {i, j } is an edge in G. In this work we consider joins and unions of graphs, and characterize the minimum rank o