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Truncated cuboctahedron
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== Truncated cuboctahedral graph == {{Infobox graph | name = Truncated cuboctahedral graph | image = [[File:Truncated cuboctahedral graph.png|240px]] | image_caption = 4-fold symmetry | namesake = | vertices = 48 | edges = 72 | automorphisms = 48 | radius = | diameter = | girth = | chromatic_number = 2 | chromatic_index = | fractional_chromatic_index = | properties = [[Cubic graph|Cubic]], [[hamiltonian graph|Hamiltonian]], [[regular graph|regular]], [[Zero-symmetric graph|zero-symmetric]] }} In the [[mathematics|mathematical]] field of [[graph theory]], a '''truncated cuboctahedral graph''' (or '''great rhombcuboctahedral graph''') is the [[1-skeleton|graph of vertices and edges]] of the truncated cuboctahedron, one of the [[Archimedean solid]]s. It has 48 [[Vertex (graph theory)|vertices]] and 72 edges, and is a [[zero-symmetric graph|zero-symmetric]] and [[cubic graph|cubic]] [[Archimedean graph]].<ref>{{citation|last1=Read|first1=R. C.|last2=Wilson|first2=R. J.|title=An Atlas of Graphs|publisher=[[Oxford University Press]]|year= 1998|page=269}}</ref> {{Clear}}
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