Thread: complete bipartite subgraph of a graph

1. complete bipartite subgraph of a graph

(a) prove that every graph of order $\displaystyle n \geq 4$ and size $\displaystyle n + 1$ contains $\displaystyle K_{1,3}$ as a subgraph

(b) describe the graphs of order $\displaystyle n \geq 4$ and size $\displaystyle n$ that do not contain $\displaystyle K_{1,3}$ as a subgraph

2. Re: complete bipartite subgraph of a graph

Originally Posted by wik_chick88
(a) prove that every graph of order $\displaystyle n \geq 4$ and size $\displaystyle n + 1$ contains $\displaystyle K_{1,3}$ as a subgraph

(b) describe the graphs of order $\displaystyle n \geq 4$ and size $\displaystyle n$ that do not contain $\displaystyle K_{1,3}$ as a subgraph
I see that you have some other postings, more than 170.
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