Independent Sets and Matchings

  • R. Balakrishnan
  • K. Ranganathan
Part of the Universitext book series (UTX)


Vertex-independent sets and vertex coverings as also edge-independent sets and edge coverings of graphs occur very naturally in many practical situations and hence have several potential applications. In this chapter, we study the properties of these sets. In addition, we discuss matchings in graphs and, in particular, in bipartite graphs. Matchings in bipartite graphs have varied applications in operations research. We also present two celebrated theorems of graph theory, namely, Tutte’s 1-factor theorem and Hall’s matching theorem. All graphs considered in this chapter are loopless.


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© Springer Science+Business Media New York 2012

Authors and Affiliations

  • R. Balakrishnan
    • 1
  • K. Ranganathan
  1. 1.Department of MathematicsBharathidasan UniversityTiruchirappalliIndia

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