Claw Graph

Author

Eric W. Weisstein
March 3, 2023

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

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

©2023 Wolfram Research, Inc. except for portions noted otherwise

Figure

CompleteGraph[{3,1}]//StyleGraphs

Isomorphisms

IsomorphicGraphQ[CompleteGraph[{3,1}],StarGraph[4]]

Properties

VertexChromaticNumber[CompleteGraph[{3,1}]]

Factor[ChromaticPolynomial[CompleteGraph[{3,1}],z]]//TraditionalForm

CharacteristicPolynomialToSpectrum[CharacteristicPolynomial[AdjacencyMatrix[CompleteGraph[{3,1}]],x],x]//SpectrumForm//TraditionalForm