Exact(18)
We discuss a fundamental result relative to strict inequalities for FHDE (2.1).
We discuss a fundamental result relative to strict inequalities for BVPHDEF (1).
Moreover, the realizing matrix is positive if (3.2), (3.4), (3.5), and (3.6) are all strict inequalities.
The last two strict inequalities hold because the minimum and maximum exist.
Now, we can get the following strict inequalities on the skew-spectral radii of an oriented graph and its subgraphs.
(B ′ ) ⇒ (A ′ ) : Here all inequalities in the proof of Part 1, become strict inequalities which permit us to conclude.
Similar(42)
with strict inequality.
Hence (10) takes the form of a strict inequality.
Hence, (20) takes the form of strict inequality.
It remains unsettled whether this strict inequality can be weakened.
Hence, (25) assumes the form of strict inequality.
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