Connectivity

Connectivity

Mahtab Hosseininia, Faraz Dadgostari
ISBN13: 9781466626614|ISBN10: 1466626615|EISBN13: 9781466626928
DOI: 10.4018/978-1-4666-2661-4.ch004
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MLA

Hosseininia, Mahtab, and Faraz Dadgostari. "Connectivity." Graph Theory for Operations Research and Management: Applications in Industrial Engineering, edited by Reza Zanjirani Farahani and Elnaz Miandoabchi, IGI Global, 2013, pp. 37-47. https://doi.org/10.4018/978-1-4666-2661-4.ch004

APA

Hosseininia, M. & Dadgostari, F. (2013). Connectivity. In R. Farahani & E. Miandoabchi (Eds.), Graph Theory for Operations Research and Management: Applications in Industrial Engineering (pp. 37-47). IGI Global. https://doi.org/10.4018/978-1-4666-2661-4.ch004

Chicago

Hosseininia, Mahtab, and Faraz Dadgostari. "Connectivity." In Graph Theory for Operations Research and Management: Applications in Industrial Engineering, edited by Reza Zanjirani Farahani and Elnaz Miandoabchi, 37-47. Hershey, PA: IGI Global, 2013. https://doi.org/10.4018/978-1-4666-2661-4.ch004

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Abstract

In this chapter, the concept of graph connectivity is introduced. In the first section, some concepts such as walk, path, component and connected graph are defined, and connectedness of a graph from the viewpoint of vertex connectivity, and also, edge connectivity are discussed. Then, blocks and block tree of graphs are illustrated. In addition, connectivity in directed graphs is introduced. Furthermore, in the last section, two graph traversal algorithms, depth first search and breadth first search, are described to investigate the connectedness of directed and undirected graphs.

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