In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space ⁠ ⁠, forms a regular tiling. This implies that the group of bijective transformations that send the graph to itself is a lattice in the group-theoretical sense.

Mar 28, 2025 · A lattice graph, also known as a mesh graph or grid graph, is a graph possessing an embedding in a Euclidean space R^n that forms a regular tiling. Examples include grid graphs and triangular grid graphs.

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One of the basic concepts of lattice plots is the idea of a panel. Each separate graph that is displayed in a multi-plot lattice graph is known as a panel, and for each of the basic types of lattice plots, there's a function called panel.plottype, where plottype is the type of plot in question.

Jan 1, 2015 · The number of ways that a graph \({\mathfrak {g}}\) can be placed on \({\mathfrak {g}}'\) is denoted by , called the lattice constant of the graph \({\mathfrak {g}}\) on the graph \({\mathfrak {g}}'\). In general is the number of weak embeddings of \({\mathfrak {g}}\) on \({\mathfrak {g}}'\).

Figure 1: The Kagom´e lattice, which is a triangular Bravais lattice with a three element basis (A,B,C). The Kagom´e lattice is the line graph of a honeycomb lattice.

Sep 18, 2007 · The graph to the right is a semi-lattice. There's a symmetric notion - the least upper bound. You can guess it's definition. If a graph has both a LUB and a GLB, then it's called a lattice.

make_lattice() is a flexible function, it can create lattices of arbitrary dimensions, periodic or aperiodic ones. It has two forms. In the first form you only supply dimvector, but not length and dim. In the second form you omit dimvector and supply length and dim.

In mathematical physics, a lattice model is a mathematical model of a physical system that is defined on a lattice, as opposed to a continuum, such as the continuum of space or spacetime. Lattice models originally occurred in the context of condensed matter physics, where the atoms of a crystal automatically form a lattice.

Feb 18, 2021 · A lattice graph, mesh graph, or grid graph, is a graph whose drawing, embedded in some Euclidean space $R^n$, forms a regular tiling. My question: Wikipedia says vertex is a point where two or more curves, lines, or edges meet.