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JCT
1998
99views more  JCT 1998»
13 years 10 months ago
From Hall's Matching Theorem to Optimal Routing on Hypercubes
We introduce a concept of so-called disjoint ordering for any collection of finite sets. It can be viewed as a generalization of a system of distinctive representatives for the s...
Shuhong Gao, Beth Novick, Ke Qiu
IPL
2006
95views more  IPL 2006»
13 years 10 months ago
Smaller superconcentrators of density 28
An N-superconcentrator is a directed, acyclic graph with N input nodes and N output nodes such that every subset of the inputs and every subset of the outputs of same cardinality ...
Uwe Schöning
DAM
2010
60views more  DAM 2010»
13 years 11 months ago
One-to-many node-disjoint paths in (n, k)-star graphs
We present an algorithm which given a source node and a set of n - 1 target nodes in the (n, k)-star graph Sn,k, where all nodes are distinct, builds a collection of n - 1 node-di...
Yonghong Xiang, Iain A. Stewart
HICSS
2002
IEEE
109views Biometrics» more  HICSS 2002»
14 years 3 months ago
An Extended Dynamic Source Routing Scheme in Ad Hoc Wireless Networks
In this paper we consider a multipath extension to the dynamic source routing (DSR) protocol proposed by Johnson and Maltz, an on-demand routing protocol for ad hoc wireless netwo...
Jie Wu
CPAIOR
2007
Springer
14 years 5 months ago
Necessary Condition for Path Partitioning Constraints
Given a directed graph G, the K node-disjoint paths problem consists in finding a partition of G into K node-disjoint paths, such that each path ends up in a given subset of nodes...
Nicolas Beldiceanu, Xavier Lorca