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DM
2010
103views more  DM 2010»
13 years 5 months ago
Rainbow paths
A k-rainbow path in a graph with colored edges is a path of length k where each edge has a different color. In this note, we settle the problem of obtaining a constructive k-colori...
Domingos Dellamonica Jr., Colton Magnant, Daniel M...
ISAAC
2004
Springer
121views Algorithms» more  ISAAC 2004»
13 years 10 months ago
Approximate Distance Oracles for Graphs with Dense Clusters
Let G be a graph containing N disjoint t-spanners that are inter-connected with M edges. We present an algorithm that constructs a data structure of size O(M2 + n log n) that answ...
Mattias Andersson, Joachim Gudmundsson, Christos L...
SPAA
2003
ACM
13 years 10 months ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
ISCAPDCS
2007
13 years 6 months ago
A Node-to-set cluster-fault-tolerant disjoint routing algorithm in pancake graphs
With rapid increase of parallel computation systems in their sizes, it is inevitable to develop algorithms that are applicable even if there exist faulty elements in the systems. ...
Tatsuro Watanabe, Keiichi Kaneko, Shietung Peng
COCOON
2011
Springer
12 years 5 months ago
Finding Paths with Minimum Shared Edges
Motivated by a security problem in geographic information systems, we study the following graph theoretical problem: given a graph G, two special nodes s and t in G, and a number k...
Masoud T. Omran, Jörg-Rüdiger Sack, Hami...