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  2. Distinguishing coloring - Wikipedia

    en.wikipedia.org/wiki/Distinguishing_coloring

    In graph theory, a distinguishing coloring or distinguishing labeling of a graph is an assignment of colors or labels to the vertices of the graph that destroys all of the nontrivial symmetries of the graph. The coloring does not need to be a proper coloring: adjacent vertices are allowed to be given the same color. For the colored graph, there ...

  3. List coloring - Wikipedia

    en.wikipedia.org/wiki/List_coloring

    For a graph G, let χ(G) denote the chromatic number and Δ(G) the maximum degree of G.The list coloring number ch(G) satisfies the following properties.. ch(G) ≥ χ(G).A k-list-colorable graph must in particular have a list coloring when every vertex is assigned the same list of k colors, which corresponds to a usual k-coloring.

  4. Graph coloring game - Wikipedia

    en.wikipedia.org/wiki/Graph_coloring_game

    The graph coloring game is a mathematical game related to graph theory. Coloring game problems arose as game-theoretic versions of well-known graph coloring problems. In a coloring game, two players use a given set of colors to construct a coloring of a graph, following specific rules depending on the game we consider. One player tries to ...

  5. List edge-coloring - Wikipedia

    en.wikipedia.org/wiki/List_edge-coloring

    A list edge-coloring is a choice of a color for each edge, from its list of allowed colors; a coloring is proper if no two adjacent edges receive the same color. A graph G is k-edge-choosable if every instance of list edge-coloring that has G as its underlying graph and that provides at least k allowed colors for each edge of G has

  6. Graph coloring - Wikipedia

    en.wikipedia.org/wiki/Graph_coloring

    Vertex coloring is often used to introduce graph coloring problems, since other coloring problems can be transformed into a vertex coloring instance. For example, an edge coloring of a graph is just a vertex coloring of its line graph, and a face coloring of a plane graph is just a vertex coloring of its dual. However, non-vertex coloring ...

  7. Category:Graph coloring - Wikipedia

    en.wikipedia.org/wiki/Category:Graph_coloring

    Download QR code; Print/export Download as PDF; Printable version; In other projects Wikimedia Commons; Wikidata item; ... Conflict-free coloring; Critical graph; D.