Coloring graphs is one of important and frequently used topics in diverse sciences. In the majority of the articles, it is intended to find a proper bound for vertex coloring, edge coloring or total coloring in the graph. Although it is important to find a proper algorithm for graph coloring, it is hard and time-consuming too. In this paper, a new algorithm for vertex coloring, edge coloring an...

$T\bar{T}$ deformed conformal field theories can be reformulated as worldsheet of non-critical strings. We use this correspondence to compute and study the partition sum a symmetric product CFT. find that it takes form second quantized string theory with given by seed CFT gaussian sigma model two-torus target space. show admits natural UV completion exhibits strong weak coupling $\mathbb{Z}_2$ ...

Severa l guidance and c o n t r o l system re sea rch and development a c t i v i t i e s aimed a t improving t h e ope ra t iona l c a p a b i l i t i e s of commercial a i r c r a f t i n t h e te rmina l area are descr ibed . The guidance and c o n t r o l systems have been designed t o improve t h e capac i ty and e f f i c i e n c y of te rmina l area opera t ions , enhance t h e approach ...

In this paper, we show that injectivity with respect to the class $mathcal{D}$  of dense monomorphisms of an idempotent and weakly hereditary closure operator of an arbitrary category  well-behaves. Indeed, if $mathcal{M}$ is a subclass of monomorphisms, $mathcal{M}cap mathcal{D}$-injectivity  well-behaves. We also introduce the notion of $(r,t)$-injectivity in the category {bf S-Act}, where $r...