A graph is bicritical if the removal of any pair of vertices decreases the domination number. We study properties of bicritical graphs and their relation with critical graphs. Next we obtain results for bicritical graphs with edge connectivity two or three. We also generalize the notion of the coalescence of two graphs, and we investigate the bicriticality of such graphs.

We present the results of experiments studying droplet coalescence in a dense layer of emulsion droplets using microfluidic circuits. The microfluidic structure allows direct observation of collisions and coalescence events between oil droplets dispersed in water. The coalescence rate of a flowing hexadecane-in-water emulsion was measured as a function of the droplet velocity and droplet concen...

In this research, the effect ofmixed salts together with mixed ionic surfactants on dropinterface coalescence time was studied for the system of water (d) / toluene(c) as a model system. Sodium dodecyl sulf...

One of the significant challenges in the use of nanoparticles is the control of primary particle size and extent of agglomeration when grown from the gas phase. In this paper we consider the role of surface passivation of the rate of nanoparticle coalescence. We have studied the coalescence of bare and H-coated silicon nanoparticles of sizes between 2–6 nm using molecular dynamics simulation at...

This paper reports the direct and precise measurement of bubble coalescence in salt solutions using microfluidics. We directly visualized the bubble coalescence process in a microchannel using high-speed imaging and evaluated the shortest coalescence time to determine the transition concentration of sodium halide solutions. We found the transition concentration is ion-specific, and the capacity...

We present new results concerning probability distributions of times in the coalescence tree and expected allele frequencies for coalescent with large sample size. The obtained results are based on computational methodologies, which involve combining coalescence time scale changes with techniques of integral transformations and using analytical formulae for infinite products. We show applicatio...

We present the results of a combined experimental and theoretical study of drop coalescence in the presence of an initial temperature difference 1T0 between a drop and a bath of the same liquid. We characterize experimentally the dependence of the residence time before coalescence on 1T0 for silicone oils with different viscosities. Delayed coalescence arises above a critical temperature differ...