Given a finite simple undirected graph G there is simplicial complex Ind(G), called the independence complex, whose faces correspond to independent sets of G. This well-studied concept because it provides fertile ground for interactions between commutative algebra, theory and algebraic topology. In this paper, we consider generalization complex. [Formula: see text], subset vertex set r-independ...

A crucial assumption in many network design problems is that of knowing the traffic demands in advance. Unfortunately, measuring and predicting traffic demands are difficult problems. Moreover, often communication patterns change over time, and therefore we are not given a single static traffic demand, but instead a set of non-simultaneous traffic demands. The network should be able to support ...

With the vigorous development of micro-/nanoscience and micro-/nanotechnology, fluid flows at micro-/nanoscale have become an important research field. The molecular dynamics simulations Couette flow in a nanochannel are carried out this paper. In order to evaluate non-equilibrium effect rarefied field, “sampling-classification” method is proposed. Through newly developed method, we found that ...

Traditionally, a grammar defining the syntax of programming language is typically both context free and unambiguous. However, recent work suggests that an attractive alternative to use ambiguous grammars,thus postponing task resolving ambiguity end user. If all programs accepted by can be rewritten unambiguously, then parser for said resolvably ambiguous. Guaranteeing resolvable statically---fo...

As a playground for cloud computing and IoT networking environment, IoTcloudServe@TEIN has been established in the Trans-Eurasia Information Network (TEIN). In platform, orchestration conducting flow of task demands is imperative effectively improving performance. this paper, we propose model optimal containerized scheduling that maximizes average payoff from completing tasks within whole syste...

Abstract The surface tension of liquids at high temperatures is generally measured with the well-established oscillating drop method in a contactless environment. However, technical difficulties measurements make it hard to apply aerodynamic levitation (ADL) system, most reliable technique for low electrical conductivity. In this study, we developed novel drop–bounce that can be used within an ...

We look at the scenario of having to route a continuous rate of traffic from a source node to a sink node in a network, where the objective is to maximize throughput. This is of interest, e.g., for providers of streaming content in communication networks. The overall path latency, which was relevant in other non-cooperative network routing games such as the classic Wardrop model, is of lesser c...

The Maximum Flow Problem with flow width constraints is a NP-hard problem. Two models are proposed: the first model is a compact node-arc model using two flow conservation blocks per path. For each path, one block defines the path while the other one send the right amount of flow on it. The second model is an extended arc-path model. It is obtained from the first model after a Dantzig-Wolfe ref...

It is shown that there exists a low2 Harrington non-splitting base — that is, a low2 computably enumerable (c.e.) degree a such that for any c.e. degrees x,y, if 0′ = x ∨ y, then either 0′ = x ∨ a or 0′ = y ∨ a. Contrary to prior expectations, the standard Harrington non-splitting construction is incompatible with the low2-ness requirements to be satisfied, and the proof given involves new tech...