We give a short proof of the following basic fact in matching theory: in a bipartite graph the maximum size of a matching equals the minimum size of a node cover.
A weighted generalization of Tur�n's theorem
✍ Scribed by Bondy, J. A.; Tuza, Zs.
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 114 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
We obtain a generalization of Turán's theorem for graphs whose edges are assigned integer weights. We also characterize the extremal graphs in certain cases.
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