55. A Note on "Hammer-Stones."

A Note on Maximal Nonhamiltonian Burkard–Hammer Graphs

A graph G = (V, E) is called a split graph if there exists a partition V = I∪K such that the subgraphs G[I] andG[K] of G induced by I andK are empty and complete graphs, respectively. In 1980, Burkard and Hammer gave a necessary condition for a split graph G with |I| < |K| to be hamiltonian. We will call a split graph G with |I| < |K| satisfying this condition a Burkard–Hammer graph. Further, a...

Application Note 55 AN 55 - 2 TUBE CURRENT

Note and Hammer Velocity Dependence of a Piano String Model Based on Coupled Digital Waveguides

Previous works have shown that a combination of digital waveguide and signal models allows a perfect resynthesis of the sound generated by a string struck by a hammer. In particular the non-linear behavior of the hammer/string interaction is well reproduced. However, in an acoustic piano, two or three strings are struck by the same hammer, and the characteristics of the strings and the hammers ...

A Survey on the Presence of Calcifying Nanoparticles in Renal Stones, Gallbladder Stones and Atherosclerosis Plaque

Background & Aims: Calcifying nanoparticles are different forms of calcium and phosphate in sediments. Recent evidence suggests that calcifying nanoparticles (CNPs) are probably selfreplicating. Several diseases are linked to nano-bacteria including kidney stones, gallbladder stone, cardiovascular plaques, oral–dental plaque, many cancers, and autoimmune diseases. The aim of this study was to a...

A note on vague graphs

In this paper, we introduce the notions of product vague graph, balanced product vague graph, irregularity and total irregularity of any irregular vague graphs and some results are presented. Also, density and balanced irregular vague graphs are discussed and some of their properties are established. Finally we give an application of vague digraphs.