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Results tagged with bipartite-graphs
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user 384338
A bipartite graph is a graph whose vertices can be divided into two disjoint sets such that no two vertices in the same set are adjacent.
1
vote
1
answer
173
views
$K_{k,m}$ is $k$-choosable if and only if $m<k^k$
This statement is proved by Vizing and Erdos & Rubin (page 30) independently.
But I cannot find Vizing's paper (It's too old) and Erdos & Rubin's paper only says 'It is easily proved'.
I think it is …
- 341
3
votes
1
answer
668
views
Connectivity and the minimum degree of bipartite graph
I want to find a condition on $\delta(G)$ (ex. $\delta(G) \geq an$) that guarantees $\kappa(G)=\delta(G)$ where $\kappa(G)$ is the vertex-connectivity of a bipartite graph $G$, and $\delta(G)$ is the …
- 341