Let $H \xrightarrow{s} G$ denote that any edge-coloring of $H$ by $s$ colors contains a monochromatic $G$. The degree Ramsey number $r_{\Delta}(G;s)$ is defined to be $\min \{ \Delta(H): H G \}$, and the bipartite $br_{\Delta}(G;s)$ \textrm{ } \chi(H) = 2 \}$. In this note, we show $r_{\Delta}(K_{m,n};s)$ linear on $n$ with fixed $m$. We also evaluate for paths other trees.

In this lecture, we develop the theory of supermodular games; key references are the papers of Topkis [7], Vives [8], and Milgrom and Roberts [3]. Our development closely follows that of Milgrom and Roberts, though we will also note other references where necessary. We start with some basic definitions and facts about lattices. Given a set X, a binary relation is a partial ordering on X if it i...

Schnabel, Kou & Xu reported three new species of spongicolid shrimp from New Zealand. The present note, with ZooBank registrations, serve to validate the names Spongicoloides clarki, S. sonne and Spongiocaris antipodes by fulfilling Code conditions for nomenclatural availability. As such, date authorship take publication this note. Specimens are deposited at National Institute Water Atmosph...

In this paper a three-dimensional finite element (FE) model of carbon nanocones (CNCs) is proposed and used for obtaining Young\'s modulus of CNCs. In this model, stretching and bending forces between carbon atoms are simulated using truss elements in ANSYS software. Then the model is subjected to the tension and by obtaining the stiffness of the CNC and using elasticity theory, Young’s modulus...