Lollipop Graph

Author

Eric W. Weisstein
May 9, 2009

This notebook downloaded from http://mathworld.wolfram.com/notebooks/GraphTheory/LollipopGraph.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/LollipopGraph.html.

©2009 Wolfram Research, Inc. except for portions noted otherwise

Construction

GraphicsGrid[Table[GraphPlot[LollipopGraph[m,n],Method->None,PlotLabel->Subscript[L,Sequence@@{m,n}]],{m,3,6},{n,4}],ImageSize->500,Spacings->{0,-50}]

TableForm[Table[{{n,k},RecognizeGraph[LollipopGraph[n,k]]},{n,3,7},{k,5}],TableDepth->2]

GraphData

ClassString

GraphClassString[GraphData["Lollipop"]]

GraphDataString

Do[Print[GraphDataString[LollipopGraph[n,k],{{"Lollipop",{n,k}},"("<>ToString[n]<>","<>ToString[k]<>")-lollipop graph","LollipopGraph"},TimeConstraint->120]],{n,3,7},{k,5}]