A connected graph G is said to be neighbourly irregular graph if no two adjacent vertices of G have same degree. In this paper we obtain neighbourly irregular derived graphs such as semitotal-point graph, k^{tℎ} semitotal-point graph, semitotal-line graph, paraline graph, quasi-total graph and quasivertex-total graph and also neighbourly irregular of some graph products.

Causal analysis for time series data, in particular estimating individualized treatment effect (ITE), is a key task many real world applications, such as finance, retail, healthcare, etc. Real series, i.e., large-scale irregular or sparse and intermittent raise significant challenges to existing work attempting estimate effects. Specifically, the existence of hidden confounders can lead biased ...

Mass spring systems (MSS) are frequently used to simulate deformable objects because of their conceptual simplicity and computational speed. Unfortunately, the model parameters (spring coefficients, masses) are not related to material constitutive laws in an obvious way. In our earlier work we proposed a method, which can be used to relate the parameters of the MSS to constitutive models, often...

We present a volumetric method that can e ciently create triangular meshes from 3-D geometric data. This data can be presented in the form of images, pro les or unordered points. The mesh model can be created at di erent resolutions and can also be closed to make a true volumetric model.

Several “distances” between the spectra of two regular matrix pencils are discussed and compared. The relations obtained enable us to estimate upper bounds on one “distance” via known upper bounds on others. We also give some perturbation bounds and then show how to apply the relations obtained in this note.

A multilinear approach based on Grassmann representatives and matrix compounds is presented for the identification of reducing pairs of subspaces that are common to two or more matrices. Similar methods are employed to characterize the deflating pairs of subspaces for a regular matrix pencil A+ sB, namely, pairs of subspaces (L,M) such that AL ⊆ M and BL ⊆ M.