If I remember a planar graph must have a even number of vertex with odd
degree.

On Fri, Apr 4, 2008 at 8:44 AM, kunzmilan <[EMAIL PROTECTED]> wrote:

>
>
>
> On 4 Dub, 02:14, "Douglas Diniz" <[EMAIL PROTECTED]> wrote:
> > A triangle is a planar graph with vertix less than 5 degree.
> > A vertice with n other vertices connect to it (so have degree n) is a
> planar
> > graph.
> >
> > So we may have planar graphs where all vertex has degree less than 5,
> and
> > planar graphs with n vertex with degree more than 5.
> >
> > On Thu, Apr 3, 2008 at 8:01 PM, Karthik Singaram Lakshmanan <
> >
> > [EMAIL PROTECTED]> wrote:
> >
> > > Correct that to : There exists at least one vertex of degree at most 5
>
> > You all are right, when planarity is defined as crossing of edges on a
> graph.
> > But, objects can be linear, planar, and generally n-dimensional. Even
> graphs
> > have this property. K(4) can be a square with both diagonals, a triangle
> with
> > axes ending in its center, and as a tetrahedron. These forms have
> different
> > distance matrices with different eigenvalues.
> kunzmilan
> >
>

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