A theorem of states that for every n x n (n ~> 3) complete bipartite graph G such that every edge is coloured and each colour is the colour of at most two edges, there is a perfect matching whose edges have distinct colours. We give an O(n 2) algorithm for finding such a perfect matching. We show t
โฆ LIBER โฆ
ACYCLIC MATCHINGS IN SUBCLASSES OF BIPARTITE GRAPHS
โ Scribed by PANDA, B. S.; PRADHAN, D.
- Book ID
- 118011290
- Publisher
- World Scientific
- Year
- 2012
- Tongue
- English
- Weight
- 314 KB
- Volume
- 04
- Category
- Article
- ISSN
- 1793-8309
No coin nor oath required. For personal study only.
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Let G be a bipartite graph in which every edge belongs to some perfect matching, and let D be a subset of its edge set. It is shown that M fl D has the same parity for every perfect matching M if and only if D is a cut, and equivalently if and only. if (G, D) is a balanced signed-graph. This gives n