let  $r$ be a commutative noetherian ring and $i$ be an ideal of $r$. we say that $i$ satisfies the persistence property if  $mathrm{ass}_r(r/i^k)subseteq mathrm{ass}_r(r/i^{k+1})$ for all positive integers $kgeq 1$, which $mathrm{ass}_r(r/i)$ denotes the set of associated prime ideals of $i$. in this paper, we introduce a class of square-free monomial ideals in the polynomial ring  $r=k[x_1,ld...

the colorful paths and rainbow paths have been considered by severalauthors.a colorful directed path in a digraph $g$ is a directed path with $chi(g)$ vertices whose colors are different. a $v$-colorful directed path is such a directed path, starting from $v$. we prove that for a given $3$-regular triangle-free digraph $g$ determining whether there is a proper $chi(g)$-coloring of $g$such that ...

Transport Layer protocols supporting multipath transfer, i.e. to simultaneously utilise multiple Network Layer paths, are actively discussed in the IETF – particularly in the context of Multi-Path TCP (MPTCP) and Concurrent Multipath Transfer for SCTP (CMT-SCTP). Congestion control for such protocols is an important research topic. In this code contribution paper, we introduce our application m...

This work presents an experimental analysis of heat transfer paths from the surroundings to the interior food compartment of a 230 liters all refrigerator under closed door conditions. The overall refrigerator thermal conductance was determined from conventional reverse heat loss rate measurements as well as from unconventional measurements taken with specially manufactured heat flux sensors. T...

The intensive I/O generated by multimedia devices and delivered over fast networks requires a new approach to U0 system software design for workstation operating systems. In general, the system should provide more flexibility in how devices are controlled and in constructing the data paths used for data transfer. I argue for the separation of control and data transfer as a general design princi...

The asynchronous transfer mode (ATM) is the transfer mode recommended for the broad integrated service digital network (B-ISDN) by ITU-T. In this paper, we propose a self-routing fault-tolerant switching architecture for ATM networks. The proposed architecture uses subswitches and extra links to provide alternative paths; hence, can tolerate multiple faults. Analytical results show that the tot...

This paper addresses to the Cell Formation Problem (CFP) in which Automated Guided Vehicles (AGVs) have been employed to transfer the jobs which may need to visit one or more cells. Because of added constraints to problem such as AGVs’ conflict and excessive cessation on one place, it is possible that AGVs select the different paths from one cell to another over the time. This means that the ti...

In this paper we study quantum state transfer (also called quantum tunneling) on graphs when there is a potential function on the vertex set. We present two main results. First, we show that for paths of length greater than three, there is no potential on the vertices of the path for which perfect state transfer between the endpoints can occur. In particular, this resolves (in the negative) a c...

Due to the mission-critical nature of command-and-control traffic in the telemetry environment, it is imperative that reliable transfer be supported. The AeroTP disruption-tolerant transport protocol is intended for this environment. The mechanism for reliable transfer is ARQ with end-to-end acknowledgments. This has significant performance limitations resulting from the highly-dynamic nature o...

Fluorescence resonance energy transfer represents a mechanism to transport light energy at the nano-scale as is exemplified by nature’s light harvesting complexes. Here we used DNA origami to arrange fluorophores that transport excited state energy from an input dye to an output dye. We demonstrate that energy transfer paths can be controlled on the single-molecule level by the presence of a “j...