PlanetMath: examples of ${k}$-connected graphs

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examples of ${k}$

-connected graphs

(Example)

Some examples to go with the -connected graph entry, where $\kappa$ and $\kappa'$ are defined.

examples of disconnected graphs:

$\begin{picture}(400,110)(0,0) \par \put(80,0){ \begin{picture}(80,110)(-40,-60) ... ...\put(0,-60){\makebox(0,0){$\kappa=\kappa'=0$}} \end{picture}} \par \end{picture}$

examples of bridges & cutvertices:

Legend: B is a bridge, C a cutvertex

$\begin{picture}(400,110)(0,0) \par \put(0,0){ \begin{picture}(80,110)(-40,-60) \... ...\put(0,-60){\makebox(0,0){$\kappa=\kappa'=1$}} \end{picture}} \par \end{picture}$

examples of better connected graphs:

$\begin{picture}(400,110)(0,0) \par \put(0,0){ \begin{picture}(80,110)(-40,-60) \... ...0,-60){\makebox(0,0){$\kappa=2$, $\kappa'=3$}} \end{picture}} \par \end{picture}$

"examples of ${k}$

-connected graphs" is owned by marijke.

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Cross-references: cutvertex, bridge
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This is version 1 of examples of ${k}$

-connected graphs, born on 2005-03-31.
Object id is 6921, canonical name is ExamplesOfKConnectedGraphs.
Accessed 1196 times total.

Classification:

AMS MSC:

05C40 (Combinatorics :: Graph theory :: Connectivity)

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