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- W3048808727 abstract "We present enumeration results on the number of connected graphs up to 10 vertices for which there is at least one other graph with the same spectrum (a cospectral mate), or at least one other graph with the same Smith normal form (coinvariant mate) with respect to several matrices associated to a graph. The present data give some indication that possibly the Smith normal form of the distance Laplacian and the signless distance Laplacian matrices could be a finer invariant to distinguish graphs in cases where other algebraic invariants, such as those derived from the spectrum, fail. Finally, we show a new graph characterization using the Smith normal form of the signless distance Laplacian matrix." @default.
- W3048808727 created "2020-08-18" @default.
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- W3048808727 date "2020-08-13" @default.
- W3048808727 modified "2023-09-26" @default.
- W3048808727 title "Enumeration of cospectral and coinvariant graphs" @default.
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- W3048808727 doi "https://doi.org/10.48550/arxiv.2008.05786" @default.
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