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A Note on the Complexity of Dijkstra's Algorithm for Graphs with Weighted Vertices
February 1998 (vol. 47 no. 2)
pp. 263
ASCII Text
x 
 
Michael Barbehenn, "A Note on the Complexity of Dijkstra's Algorithm for Graphs with Weighted Vertices," IEEE Transactions on Computers, vol. 47, no. 2, pp. 263, February, 1998.
 
 
BibTex
x
 
@article{ 10.1109/12.663776,
author = {Michael Barbehenn},
title = {A Note on the Complexity of Dijkstra's Algorithm for Graphs with Weighted Vertices},
journal ={IEEE Transactions on Computers},
volume = {47},
number = {2},
issn = {0018-9340},
year = {1998},
pages = {263},
doi = {http://doi.ieeecomputersociety.org/10.1109/12.663776},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Computers
TI - A Note on the Complexity of Dijkstra's Algorithm for Graphs with Weighted Vertices
IS - 2
SN - 0018-9340
SP
EP
EPD - 263
A1 - Michael Barbehenn,
PY - 1998
KW - Analysis of algorithms
KW - combinatorial problems
KW - data structures
VL - 47
JA - IEEE Transactions on Computers
ER -
 

Abstract—Let ${\cal G}(V,\ E)$ be a directed graph in which each vertex has a nonnegative weight. The cost of a path between two vertices in $\cal G$ is the sum of the weights of the vertices on that path. In this paper, we show that, for such graphs, the time complexity of Dijkstra's algorithm, implemented with a binary heap, is ${\cal O}(|E| + |V|\ \log\ |V|).$

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[3] T.H. Cormen,C.E. Leiserson, and R.L. Rivest,Introduction to Algorithms.Cambridge, Mass.: MIT Press/McGraw-Hill, 1990.
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Index Terms:
Analysis of algorithms, combinatorial problems, data structures
Citation:
Michael Barbehenn, "A Note on the Complexity of Dijkstra's Algorithm for Graphs with Weighted Vertices," IEEE Transactions on Computers, vol. 47, no. 2, pp. 263, Feb. 1998, doi:10.1109/12.663776
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