two digraphs of same order are said to be skew-equienergetic if theirskew energies are equal. one of the open problems proposed by li andlian was to construct non-cospectral skew-equienergetic digraphs onn vertices. recently this problem was solved by ramane et al. inthis paper, we give some new methods to construct new skew-equienergeticdigraphs.

Given an undamped gyroscopic system GðλÞ 1⁄4 Mλ þ CλþK with M , K symmetric and C skew-symmetric, this paper presents a real-valued spectral decomposition of GðλÞ by a real standard pair ðX;TÞ and a skew-symmetric parameter matrix S . When T is assumed to be a block diagonal matrix, the parameter matrix S has a special structure. This spectral decomposition is applied to solve the quadratic inv...

We discuss the concept of distributional alchemy. This is defined by “transmutation” maps that are the functional composition of the cumulative distribution function of one distribution with the inverse cumulative distribution (quantile) function of another. We show that such maps can lead on the one hand to new and tractable methods for the introduction of skewness or kurtosis into a symmetric...

Let G G be a finite nonabelian group, and let alttext="psi colon upper G right-arrow ψ :<...