[PDF] Top 20 Note on the problem of partially link disjoint paths

... One problem is that the algorithm could finally mark nodes before all partly disjoint paths are collected and therefore part of the path is ...second problem is a gap topology (e.g. Figure 1 ... See full document

... open problem as a challenge for someone to find an elemen- tary proof to show that the constants appearing in Theorem ...this note is to give a new proof of the problem without using the relation of ... See full document

... in Problem 1 by using solvability of the corresponding linear differential ...to Problem 1, which we obtained long time ago, but have not published it so ... See full document

... interdiction problem is a classical problem in the network ...this problem is as follows: In the network optimization problems, for example, the maximum flow network, the shortest path, the multiple ... See full document

... Here, we answer a question of Christian Lomp who asked us about a possible extended Zelmanowitz’s question: “Is every compressible uni- form module whose endomorphism ring is a domain a monoform mod- ule?" ... See full document

... In this paper , we give an answer to this problem and establish new inequalities. Theorem 1. The function F(x) defined by (7) is strictly logarithmically completely monotonic in (0, ∞) for α ≥ 1 and 0 ≤ β ≤ 1. ... See full document

... separation problem for a given family of valid linear inequalities is this: given a fractional solution to an LP relaxation of an instance of the max-cut problem, either find an inequality in the family ... See full document

... Transportation problem is one of most popular type of linear programming ...transportation problem has been widely used to solve transportation problem in various ...transportation problem is ... See full document

... In this paper, we discuss the continuous dependence of mild solutions on initial values and orders for the initial value problem of fractional evolution equations in infinite dimensional spaces. The results ... See full document

... Consider a population with continuous cumulative distribution function (cdf) G and probability density function (pdf) g . We select an increasing order sample Z Z 1 ' , 2 ' ,..., Z n ' − 1 from this population. To show ... See full document

... should note that the Strong Exponential Time Hypothesis is a very strong assumption, and not widely believed, as it is the case of its weaker cousin, the Expo- nential Time Hypothesis (which is still much stronger ... See full document

... also note with regard to the Griesbach hy- pothesis that for the triple- plus double-tradition material in Table 3 the corresponding Mt–Lk –Mk model satisfies inequalities (9)—the only model apart from Mt–Mk–Lk to ... See full document

... W ireless Sensor Networks (WSNs) are densely packed networks with motes very close to each other. This ad hoc arrangement of motes means that there exist many pathways for communication to take place between the sensing ... See full document

... The function fstraight defines the switch to be visited if a straight link is chosen. The functions fup and fdown denote the switches visited if we choose up and down links respectively. Each request in 3DCGMIN ... See full document

... the disjoint paths problem with the same time complexity as ...node disjoint paths algorithms based on Maximum-Flow computation such as Ford-Fulkerson and Suur- balle-Tarjan [19], [13] ... See full document

... Since the load rises above the target bandwidth the scheme reduces the number of tokens that are available on this link Figure 5 but since there are about 200 flows that are persistent f[r] ... See full document

... all paths are failed. This link failure may be in many ...a link is failed between any two nodes of a given network ...partial link failure instead it assumes that the link failure ... See full document

... of link-disjoint and node-disjoint s-droutes on a graph G collected at a particular time ...of link-disjoint and node-disjoint s-d routes ...s-d paths in the network. The ... See full document

... Shortest paths tree in reverse orientation The computational complexity of Yen’s algorithm reduced to 𝒪 Kn , when the shortest paths tree from all nodes to the destination node is determined ...of ... See full document

... In this note we prove that a kind of mappings depending on k arguments introduced in (Paknazar et al. in Fixed Point Theory Appl. 2013:111, 2013) only depend on their first argument. Therefore, results in that ... See full document