Add to ORKGWe give two results for multicommodity flows in thed-dimensional hypercubeQdwithindependent random edge-capacities distributed like a random variableCwhereP[C>0]>1/2.Firstly, with high probability asd→∞, the network can support simultaneous multicommodityflows of volume close toE[C]between all antipodal vertex pairs. Secondly, with high probability,the network can support simultaneous multicommodity flows of volume close to 21−dE[C]betweenall vertex pairs. Both results are best possible
AbstractTraditionally, many researchers solved the multicommodity maximum flow problem by assuming t...
AbstractAll previously known algorithms for solving the multicommodity flow problem with capacities ...
In a network where the cost of flow across an edge is nonlinear in the volume of flow, and where sou...
Given a network 𝒩, and a collection 𝒱 of unordered pairs of vertices in 𝒩, a corres...
Give random capacities C to the edges of the complete n-vertex graph. Consider the maximum flow Φn t...
We consider a multicommodity flow problem on a complete graph whose edges have random, independent, ...
Abstract We derive an analytical expression for the mean load at each node of an arbitrary undirecte...
Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed ra...
We consider multicommodity flow and cut problems in polymatroidal networks where there are submodula...
This paper considers the integral multicommodity flow problem on directed graphs underlying two clas...
We consider multicommodity flow and cut problems in polymatroidal networks where there are sub-modul...
Copyright © 2013 ICST. We study the maximum flow on random weighted directed graphs and hypergraphs,...
AbstractSuppose that G is a graph, and (si,ti) (1≤i≤k) are pairs of vertices; and that each edge has...
For an integer h ≥ 1, an elementary h-route flow is a flow along h edge disjoint paths between a sou...
Let α ∈R, ε=(α+o(1)))/n and p=1/2(1+ε). Denote by {Mathematical expression} a random subgraph of the...
AbstractTraditionally, many researchers solved the multicommodity maximum flow problem by assuming t...
AbstractAll previously known algorithms for solving the multicommodity flow problem with capacities ...
In a network where the cost of flow across an edge is nonlinear in the volume of flow, and where sou...
Given a network 𝒩, and a collection 𝒱 of unordered pairs of vertices in 𝒩, a corres...
Give random capacities C to the edges of the complete n-vertex graph. Consider the maximum flow Φn t...
We consider a multicommodity flow problem on a complete graph whose edges have random, independent, ...
Abstract We derive an analytical expression for the mean load at each node of an arbitrary undirecte...
Consider the complete n-vertex graph whose edge-lengths are independent exponentially distributed ra...
We consider multicommodity flow and cut problems in polymatroidal networks where there are submodula...
This paper considers the integral multicommodity flow problem on directed graphs underlying two clas...
We consider multicommodity flow and cut problems in polymatroidal networks where there are sub-modul...
Copyright © 2013 ICST. We study the maximum flow on random weighted directed graphs and hypergraphs,...
AbstractSuppose that G is a graph, and (si,ti) (1≤i≤k) are pairs of vertices; and that each edge has...
For an integer h ≥ 1, an elementary h-route flow is a flow along h edge disjoint paths between a sou...
Let α ∈R, ε=(α+o(1)))/n and p=1/2(1+ε). Denote by {Mathematical expression} a random subgraph of the...
AbstractTraditionally, many researchers solved the multicommodity maximum flow problem by assuming t...
AbstractAll previously known algorithms for solving the multicommodity flow problem with capacities ...
In a network where the cost of flow across an edge is nonlinear in the volume of flow, and where sou...