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JCT
1998
99views more  JCT 1998»
13 years 4 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 4 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 4 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»
13 years 9 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
13 years 11 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