I analyze packet routing on unidirectional ring networks, with an eye towards establishing bounds on the expected length of the queues. Suppose we route packets by a greedy “hot potato” protocol. If packets are inserted by a Bernoulli process and have uniform destinations around the ring, and if the nominal load is kept fixed, then I can construct an upper bound on the expected queue length per...

In this paper, we consider the problems of multipacket batch and balanced routing on d-dimensional (constant d 2) torus and mesh-connected processor arrays. We present new \hot-potato" routing algorithms which achieve the best known average-case and worst-case time bounds for both problems on all such networks. In particular, our results include the following: 1. Algorithms that route almost al...

In vitro experiments were conducted to study the responses of potato (Solanum tuberosum L.) genotypes osmotic stress. shoot cultures 27 breeding lines and their drought-tolerant parents (referent lines: C103 C107) tested under stress induced by addition PEG 6000 (Mw = 6000; 5.0, 7.5, 10.0%, w/v), D-mannitol (0.1, 0.2, 0.3 M) 600 600; 2.5, 7.5%, w/v) Murashige-Skoog medium. Stress index (SI) was...

The plant response to stresses includes changes in starch metabolism regulated by a complex catalytic network, which plastidic phosphorylase PHO1a is one of the key players. In this study, we used CRISPR-Cas9 system edit gene four potato (Solanum tuberosum L.) cultivars, resulted introduction radical mutation, G261V, into functional domain. mutants had altered morphology and differed from wild-...

An experiment was conducted to find out variation in isolated Rhizoctonia solani based on radial mycelial growth and sclerotial production. Five isolates of Rhizoctonia solani representing five clusters group were selected and were grown at different levels of temperature and pH on potato dextrose agar (PDA). It was observed that optimum temperature and pH for growth and scierotial production v...

We give the n! permutations of [n] = {1,2, . . . , n} a cyclic order inspired by the children’s game of Hot Potato. Our order is a transposition Gray code, meaning that consecutive permutations differ by a single transposition. Furthermore, each transposition is restricted in two ways: (1) It must transpose value n (the “hot potato”); (2) It must transpose positions that are circularly adjacent...