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On the spectral radius of weighted digraphs
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We consider the weighted digraphs in which the arc weights are positive definite matrices. We obtain some upper bounds for the spectral radius of these digraphs and characterize the digraphs achieving the upper bounds. Some known upper bounds are then special cases of our results.
Title: On the spectral radius of weighted digraphs
Description:
We consider the weighted digraphs in which the arc weights are positive definite matrices.
We obtain some upper bounds for the spectral radius of these digraphs and characterize the digraphs achieving the upper bounds.
Some known upper bounds are then special cases of our results.
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