Truncated Square Lattice Graph
TruncatedSquareLatticeGraph
The m×n truncated square lattice graph is the cubic graph obtained from a finite version of the truncated square lattice where the vertices of squares on the boundary "wrap around" (cf. Razzoli et al. 2020). Special cases are summarized in the following table.
(m,n) graph
(1,1) tetrahedral graph K_4
(1,n) n-necklace graph
(2,2) 8-crossed
prism graph
(4,4) 4-cube-connected
cycle graph
See also
Necklace Graph, TessellationExplore with Wolfram|Alpha
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References
House of Graphs. Truncated Square Lattice Graphs. Cubic Vertex-Transitive Graph, Cube-Connected Cycle Graph CCC4, Matched K4-e, Diamond-Necklace N3, Tetrahedron K4, (3,3)-Truncated Square Lattice Graph, (5,5)-Truncated Square Lattice Graph, (6,6)-Truncated Square Lattice Graph, and (7,7)-Truncated Square Lattice Graph.Razzoli, L.; Paris, M. G. A.; and Bordone, P. "Continuous-Time Quantum Walks on Planar Lattices and the Role of the Magnetic Field." Phys. Rev. A 101, 032336, 2020.Cite this as:
Weisstein, Eric W. "Truncated Square Lattice Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TruncatedSquareLatticeGraph.html