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Geoff Tims
Haemers’ minimum rank, η(G), was first defined by Willem Haemers in 1979. He created this graph parameter as an upper bound for the Shannon capacity of a graph, Θ(G), and to answer some questions asked by Lovasz in his famous paper where he deter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::39dcf7193d172c5b604652d2ca074971
https://doi.org/10.31274/etd-180810-3393
https://doi.org/10.31274/etd-180810-3393
Publikováno v:
Linear Algebra and its Applications. 432:2995-3001
The minimum rank of a simple graph G is defined to be the smallest possible rank over all symmetric real matrices whose ij th entry (for i ≠ j ) is nonzero whenever { i , j } is an edge in G and is zero otherwise. Minimum rank is a difficult parame