Many works related to dually chordal graphs, their cliques and neighborhoods were published [1, 6]. We will undertake a similar study by considering minimal vertex separators and their properties instead. We find a necessary and sufficient condition for every minimal vertex separator to be contained in the closed neighborhood of a vertex and two major characterizations of dually chordal graphs ...

In order to study the effect of dust outlet geometry on the performance of cyclone separators, the gas-solid flow characteristics in four cyclone separators with different dust outlet geometries (without dustbin, with dustbin, with dipleg and with dustbin plus dipleg) have been computationally simulated. The gas flow fields were simulated with Reynolds Stress Model(RSM).The effect of instantane...

The characterization of separators for Li-ion or Li-metal batteries incorporating hydrophobic ionic liquid electrolytes is reported herein. Ionic liquids made of N-butyl-N-methylpyrrolidinium (PYR14+) or N-methoxyethyl-N-methylpyrrolidinium (PYR12O1+), paired with bis(trifluoromethanesulfonyl)imide (TFSI-) or bis(fluorosulfonyl)imide (FSI-) anions, were tested in combination with separators hav...

Consider a graph G with an assignment of costs to vertices. Even if and all its subgraphs admit balanced separators sublinear size, may only separator cost after deleting small set Z exceptional We improve the bound on ∣ from O ( log V ) … , for any fixed number iterations logarithm.

A set of vertices S ⊆ V is called a safe separator for treewidth, if S is a separator of G, and the treewidth of G equals the maximum of the treewidth over all connected components W of G S of the graph, obtained by making S a clique in the subgraph of G, induced by W ∪ S. We show tha t such safe separators are a very powerful tool for preprocessing graphs when we want to compute their treewidt...

Our work is based on the pioneering work in sphere separators done by Miller, Teng, Vavasis et al, [8, 12], who gave efficient static (fixed input) algorithms for finding sphere separators of size s(n) = O(n d−1 d ) for a set of points in R. We present dynamic algorithms which maintain separators for a dynamically changing graph. Our algorithms answer queries and process insertions and deletion...

Linear threshold functions (for real and Boolean inputs) have received much attention, for they are the component parts of many artificial neural networks. Linear threshold functions are exactly those functions such that the positive and negative examples are separated by a hyperplane. One extension of this notion is to allow separators to be surfaces whose equations are polynomials of at most ...

Safe operation is crucial for lithium (Li) batteries, and therefore, developing separators with dendrite-detection function is of great scientific and technological interest. However, challenges have been encountered when integrating the function into commercial polyolefin separators. Among all polymer candidates, polyimides (PIs) are prominent due to their good thermal/mechanical stability and...

Nanoparticles have potential applications in many areas such as consumer products, health care, electronics, energy and other industries. As the use of nanoparticles in manufacturing increases, we anticipate a growing need to detect and measure particles of nanometer scale dimensions in fluids to control emissions of possible toxic nanoparticles. At present most particle separation techniques a...

The impedances of the Tevatron separators are revisited and are found to be negligibly small in the few hundred MHz region, except for resonances at 22.5 MHz. The latter are contributions from the power cables which may drive head-tail instabilities if the bunch is long enough.