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  2. Null graph - Wikipedia

    en.wikipedia.org/wiki/Null_graph

    For each natural number n, the edgeless graph (or empty graph) K n of order n is the graph with n vertices and zero edges. An edgeless graph is occasionally referred to as a null graph in contexts where the order-zero graph is not permitted. [1] [2] It is a 0-regular graph.

  3. 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 ...

  4. File:Blank ternary plot.svg - Wikipedia

    en.wikipedia.org/wiki/File:Blank_ternary_plot.svg

    English: An empty ternary plot: i.e. 'blank graph paper' for a ternary diagram / phase diagram, with axis labels perpendicular to each plotting axis to facilitate plotting and comprehension. Arrows parallel to each side indicate direction of increase for each of the three dimensions.

  5. Graph coloring - Wikipedia

    en.wikipedia.org/wiki/Graph_coloring

    A graph has a k-coloring if and only if it has an acyclic orientation for which the longest path has length at most k; this is the Gallai–Hasse–Roy–Vitaver theorem (NešetÅ™il & Ossona de Mendez 2012). For planar graphs, vertex colorings are essentially dual to nowhere-zero flows. About infinite graphs, much less is known.

  6. File:Graph paper mm green A4.svg - Wikipedia

    en.wikipedia.org/wiki/File:Graph_paper_mm_green...

    English: Empty green graph paper with cm/0.5cm/2mm grids (paper size = A4) Date: ... PICTURE “graph_paper_cm_green_A4” [ ; from LibreOffice 4.1.1 PICTURE ...

  7. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .

  8. Component (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Component_(graph_theory)

    A graph with three components. In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting ...

  9. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    The general problem of solving Sudoku puzzles on n 2 ×n 2 grids of n×n blocks is known to be NP-complete. [8] A puzzle can be expressed as a graph coloring problem. [9] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The Sudoku graph has 81 vertices, one vertex for each cell.