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- W2000352218 abstract "We say that two graphs G 1 and G 2 with the same vertex set commute if their adjacency matrices commute. In this paper, we find all integers n such that the complete bipartite graph K n , n is decomposable into commuting perfect matchings or commuting Hamilton cycles. We show that there are at most n − 1 linearly independent commuting adjacency matrices of size n ; and if this bound occurs, then there exists a Hadamard matrix of order n . Finally, we determine the centralizers of some families of graphs." @default.
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- W2000352218 date "2009-02-01" @default.
- W2000352218 modified "2023-09-27" @default.
- W2000352218 title "Commutativity of the adjacency matrices of graphs" @default.
- W2000352218 cites W1964395996 @default.
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- W2000352218 doi "https://doi.org/10.1016/j.disc.2008.09.006" @default.
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