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2. Lattice graph - Wikipedia

   en.wikipedia.org/wiki/Lattice_graph

   Square grid graph Triangular grid graph. 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.

3. Graph paper - Wikipedia

   en.wikipedia.org/wiki/Graph_paper

   Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available either as loose leaf paper or bound in notebooks or Graph Books.

4. Glossary of graph theory - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_graph_theory

   3. A square grid graph is a lattice graph defined from points in the plane with integer coordinates connected by unit-length edges. stable A stable set is a synonym for an independent set. star A star is a tree with one internal vertex; equivalently, it is a complete bipartite graph K 1,n for some n ≥ 2. The special case of a star with three ...

5. Cartesian product of graphs - Wikipedia

   en.wikipedia.org/wiki/Cartesian_product_of_graphs

   If a connected graph is a Cartesian product, it can be factorized uniquely as a product of prime factors, graphs that cannot themselves be decomposed as products of graphs. [2] However, Imrich & Klavžar (2000) describe a disconnected graph that can be expressed in two different ways as a Cartesian product of prime graphs:

6. Halin's grid theorem - Wikipedia

   en.wikipedia.org/wiki/Halin's_grid_theorem

   In graph theory, a branch of mathematics, Halin's grid theorem states that the infinite graphs with thick ends are exactly the graphs containing subdivisions of the hexagonal tiling of the plane. [1] It was published by Rudolf Halin ( 1965 ), and is a precursor to the work of Robertson and Seymour linking treewidth to large grid minors , which ...

7. Spanning tree - Wikipedia

   en.wikipedia.org/wiki/Spanning_tree

   A connected graph may have a disconnected spanning forest, such as the forest with no edges, in which each vertex forms a single-vertex tree. [8] [9] A few graph theory authors define a spanning forest to be a maximal acyclic subgraph of the given graph, or equivalently a subgraph consisting of a spanning tree in each connected component of the ...

8. Planar separator theorem - Wikipedia

   en.wikipedia.org/wiki/Planar_separator_theorem

   A planar separator for a grid graph. Consider a grid graph with rows and columns; the number of vertices equals .For instance, in the illustration, =, =, and = =.If is odd, there is a single central row, and otherwise there are two rows equally close to the center; similarly, if is odd, there is a single central column, and otherwise there are two columns equally close to the center.

9. Ruled paper - Wikipedia

   en.wikipedia.org/wiki/Ruled_paper

   Example Graph Paper Template; Incompetech can generate PDF files of graph and ruled paper with customizable spacing and sizes. RuledPaper.net ruled paper online generator. writingpaper.py is a Python script that can create French-ruled paper without the vertical lines.