‎recently‎, ‎some techniques such as adding whiskers and attaching graphs to vertices of a given graph‎, ‎have been proposed for constructing a new vertex decomposable graph‎. ‎in this paper‎, ‎we present a new method for constructing vertex decomposable graphs‎. ‎then we use this construction to generalize the result due to cook and nagel‎.

The one-phase flow and the two-phase flow in a fluidic element are investigated by measuring Reynolds stress distributions of the main jets using the laser Doppler velocimeter. In the one-phase flow, a water flow jets from a main nozzle into water and in the two-phase flow, a water fiow jets into air. Some results with the one-phase flow are as follows. When either of the two control ports is c...

Abstract. For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix. Let U1 2k be the graph obtained from C3 by attaching a path of length n− 3 at one vertex. Let U2 2k be the graph obtained from C3 by attaching a pendant edge together with k − 2 paths of length 2 at the same vertex. In this paper, it is proved that U1 2k (resp., U 2 2k) is the unique ...

We classify the geometric complexity by giving a structure theorem for the Blum medial axis M . We do so by first giving an algorithm for decomposing M using the local types into “irreducible components” and then representing each medial component as obtained by attaching surfaces with boundaries to 4–valent graphs. The two stages are described by a two level extended graph structure. The top l...

Let Ξ be a one-relator group with presentation & — ($i, •" ,%n R ) where R is not a proper power and p ^ 2. Then given any integer q, relatively prime to p, we can construct the Lens space ^(pf q) for Ξ from the cellular model C(&) of the presentation & by attaching a 3-cell via the attaching map R — 1, which generates the ideal ZΞ(R — 1) « τr2(C(^)). In this paper we classify these Lens spaces...

A relevant series of symmetric supramolecular porphyrins has been obtained by attaching four [RuII(bipy)2Cl] groups to the pyridyl substituents of meso-tetra(4-pyridyl)porphyrin and its metallated derivatives. These compounds display a rich electrochemistry and versatile catalytic, electrocatalytic and photochemical properties, associated with the ruthenium-bipyridine and the porphyrin complexe...