Title
An Algorithm for Node-to-Node Disjoint Paths Problem in Burnt Pancake Graphs
Abstract
In this paper, we propose an algorithm that solves the node-to-node disjoint paths problem in n-burnt pancake graphs in polynomial-order time of n. We also give a proof of its correctness as well as the estimates of time complexity O(n3) and the maximum path length 3n + 4. We conducted a computer experiment for n = 2 to 100 to measure the average performance of our algorithm. The results show that the average time complexity is O(n3.0) and the maximum path length is 3n + 4.
Year
DOI
Venue
2007
10.1093/ietisy/e90-1.1.306
IEICE Transactions
Keywords
Field
DocType
node-to-node disjoint paths problem,burnt pancake graphs,average time complexity,time complexity o,polynomial-order time,average performance,computer experiment,n-burnt pancake graph,maximum path length
Computer experiment,Discrete mathematics,Graph,Combinatorics,Disjoint sets,Path length,Correctness,Algorithm,Floyd–Warshall algorithm,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
E90-D
1
1745-1361
Citations 
PageRank 
References 
11
0.57
0
Authors
2
Name
Order
Citations
PageRank
Keiichi Kaneko118939.19
Naoki Sawada2165.06