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6 - Shortest Paths and Breadth First Search

from Part III: - Graphs and Networks

Published online by Cambridge University Press:  19 August 2022

Benny Chor
Affiliation:
Tel-Aviv University
Amir Rubinstein
Affiliation:
Tel-Aviv University
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Summary

In this chapter, we introduce the notion of graph algorithms, which are basically algorithms working on graphs. There are many such algorithms, aimed at solving a wide range of problems. We will focus on one such problem – the shortest paths problem. This problem has several algorithms, under different constraints, that solve it. We will present the well-known breadth first search (BFS), algorithm that solves a simple version of that problem. This algorithm will be explained in detail and implemented in Python. We will conclude the chapter by mentioning additional common problems in graph theory.

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Publisher: Cambridge University Press
Print publication year: 2022

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References

Further Reading

Joy, MP, Brock, A, Ingber, DE, Huang, S. “High-betweenness proteins in the yeast protein interaction network.” J Biomed Biotechnol. 2005.2 (2005): 96103. doi:10.1155/JBB.2005.96.Google Scholar
Ma’ayan, A, Jenkins, SL, Neves, S, et al.Formation of regulatory patterns during signal propagation in a Mammalian cellular network.” Science. 309.5737 (2005): 10781083. doi:10.1126/science.1108876.Google Scholar

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