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arXiv · 1605.00406

A Tight Lower Bound for the Weights of Maximum Weight Matching in Bipartite Graphs

Shibsankar Das
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Abstract

Let $\Ga$ be the collection of all weighted bipartite graphs each having $\sigma$ and $m$, as the size of a vertex partition and the total weight, respectively. We give a tight lower bound $\lceil \frac{m-\sigma}{\sigma} \rceil+1$ for the set $\{\textit{Wt}(\textit{mwm}(G))~|~G \in \Ga\}$ which denotes the collection of weights of maximum weight bipartite matchings of all graphs in $\Ga$.

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Shibsankar Das. 2016-05-02. A Tight Lower Bound for the Weights of Maximum Weight Matching in Bipartite Graphs. https://arxiv.org/abs/1605.00406

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