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The energy of a simplicial complex

math.CO · 2019-07-07 · unverdicted · novelty 5.0

The sum of entries in the inverse of the intersection matrix of a simplicial complex equals its Euler characteristic, and so does the difference between the numbers of positive and negative eigenvalues of that matrix.

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  • The energy of a simplicial complex math.CO · 2019-07-07 · unverdicted · none · ref 34

    The sum of entries in the inverse of the intersection matrix of a simplicial complex equals its Euler characteristic, and so does the difference between the numbers of positive and negative eigenvalues of that matrix.