Graph Theory(cut-vertices).
$begingroup$
I have shows that every connected graph has a vertex that is not a cut-vertex.
I consider two cases, if $G$ has a cycle we are done.
If $G$ has not , since $G$ is a connected acyclic graph then $G$ is tree.
and since $G$ must have leaf. (leaf is not a cut-vertex)
My ideal is correct ?
graph-theory
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
$endgroup$
add a comment |
$begingroup$
I have shows that every connected graph has a vertex that is not a cut-vertex.
I consider two cases, if $G$ has a cycle we are done.
If $G$ has not , since $G$ is a connected acyclic graph then $G$ is tree.
and since $G$ must have leaf. (leaf is not a cut-vertex)
My ideal is correct ?
graph-theory
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
$endgroup$
1
$begingroup$
Yes, that idea is fine
$endgroup$
– Hagen von Eitzen
Jan 11 at 7:17
$begingroup$
Yes, it is correct.
$endgroup$
– Mike
Jan 12 at 21:09
add a comment |
$begingroup$
I have shows that every connected graph has a vertex that is not a cut-vertex.
I consider two cases, if $G$ has a cycle we are done.
If $G$ has not , since $G$ is a connected acyclic graph then $G$ is tree.
and since $G$ must have leaf. (leaf is not a cut-vertex)
My ideal is correct ?
graph-theory
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
$endgroup$
I have shows that every connected graph has a vertex that is not a cut-vertex.
I consider two cases, if $G$ has a cycle we are done.
If $G$ has not , since $G$ is a connected acyclic graph then $G$ is tree.
and since $G$ must have leaf. (leaf is not a cut-vertex)
My ideal is correct ?
graph-theory
graph-theory
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
edited Jan 11 at 16:56
tikeri paswaes
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
asked Jan 11 at 7:16
tikeri paswaestikeri paswaes
63
63
1
$begingroup$
Yes, that idea is fine
$endgroup$
– Hagen von Eitzen
Jan 11 at 7:17
$begingroup$
Yes, it is correct.
$endgroup$
– Mike
Jan 12 at 21:09
add a comment |
1
$begingroup$
Yes, that idea is fine
$endgroup$
– Hagen von Eitzen
Jan 11 at 7:17
$begingroup$
Yes, it is correct.
$endgroup$
– Mike
Jan 12 at 21:09
1
1
$begingroup$
Yes, that idea is fine
$endgroup$
– Hagen von Eitzen
Jan 11 at 7:17
$begingroup$
Yes, that idea is fine
$endgroup$
– Hagen von Eitzen
Jan 11 at 7:17
$begingroup$
Yes, it is correct.
$endgroup$
– Mike
Jan 12 at 21:09
$begingroup$
Yes, it is correct.
$endgroup$
– Mike
Jan 12 at 21:09
add a comment |
0
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oldest
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$begingroup$
Yes, that idea is fine
$endgroup$
– Hagen von Eitzen
Jan 11 at 7:17
$begingroup$
Yes, it is correct.
$endgroup$
– Mike
Jan 12 at 21:09