How to prove this graph is not bipartite and thus has no hamilton cycle

242 Views Asked by At

graph G

I already know that this graph has a hamilton path (2⇒1⇒8⇒7⇒6⇒10⇒4⇒3⇒11⇒5⇒9) but how can I prove from this that this is NOT a bipartite graph? and why does and how does it prove there isn't a Hamilton cycle?