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Deltoidal Icositetrahedral Graph


DeltoidalIcositetrahedralGraph

The deltoidal icositetrahedral graph is Archimedean dual graph which is the skeleton of the deltoidal icositetrahedron. It is implemented in the Wolfram Language as GraphData["DeltoidalIcositetrahedralGraph"].

DeltoidalIcositetrahedralGraphMatrices

The plots above show the adjacency, incidence, and graph distance matrices for the deltoidal icositetrahedral graph.

The following table summarizes some properties of the graph.

propertyvalue
automorphism group order48
characteristic polynomialx^8(x^2-14)(x^2-8)^3(x^2-2)^5
chromatic number2
chromatic polynomial?
claw-freeno
clique number2
determined by spectrum?
diameter6
distance regularno
dual graph namesmall rhombicuboctahedral graph
edge chromatic number4
edge connectivity3
edge count48
Eulerianno
girth4
Hamiltonianno
Hamiltonian cycle count0
Hamiltonian path count0
independence number14
integralno
line graph?
perfect matching graphno
planaryes
polyhedral graphyes
radius4
regularno
square-freeno
traceableno
triangle-freeyes
vertex connectivity3
vertex count26

See also

Archimedean Dual Graph, Deltoidal Icositetrahedron

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Cite this as:

Weisstein, Eric W. "Deltoidal Icositetrahedral Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DeltoidalIcositetrahedralGraph.html

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