enow.com Web Search

Search results

1. Results from the WOW.Com Content Network

2. Graph coloring - Wikipedia

   en.wikipedia.org/wiki/Graph_coloring

   The empty graph E 3 (red) admits a 1-coloring; the complete graph K 3 (blue) admits a 3-coloring; the other graphs admit a 2-coloring. Main article: Chromatic polynomial The chromatic polynomial counts the number of ways a graph can be colored using some of a given number of colors.

3. Greedy coloring - Wikipedia

   en.wikipedia.org/wiki/Greedy_coloring

   In the study of graph coloring problems in mathematics and computer science, a greedy coloring or sequential coloring [1] is a coloring of the vertices of a graph formed by a greedy algorithm that considers the vertices of the graph in sequence and assigns each vertex its first available color. Greedy colorings can be found in linear time, but ...

4. Misra & Gries edge coloring algorithm - Wikipedia

   en.wikipedia.org/wiki/Misra_&_Gries_edge_coloring...

   The Misra & Gries edge coloring algorithm is a polynomial time algorithm in graph theory that finds an edge coloring of any simple graph. The coloring produced uses at most Δ + 1 {\displaystyle \Delta +1} colors, where Δ {\displaystyle \Delta } is the maximum degree of the graph.

5. 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.

6. Rainbow coloring - Wikipedia

   en.wikipedia.org/wiki/Rainbow_coloring

   Rainbow coloring of a wheel graph, with three colors.Every two non-adjacent vertices can be connected by a rainbow path, either directly through the center vertex (bottom left) or by detouring around one triangle to avoid a repeated edge color (bottom right).

7. 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.

8. Vizing's theorem - Wikipedia

   en.wikipedia.org/wiki/Vizing's_theorem

   That is, the algorithm uses the optimal number of colors for graphs of class two, and uses at most one more color than necessary for all graphs. Their algorithm follows the same strategy as Vizing's original proof of his theorem: it starts with an uncolored graph, and then repeatedly finds a way of recoloring the graph in order to increase the ...

9. Complete coloring - Wikipedia

   en.wikipedia.org/wiki/Complete_coloring

   Finding ψ(G) is an optimization problem.The decision problem for complete coloring can be phrased as: . INSTANCE: a graph G = (V, E) and positive integer k QUESTION: does there exist a partition of V into k or more disjoint sets V 1, V 2, …, V k such that each V i is an independent set for G and such that for each pair of distinct sets V i, V j, V i ∪ V j is not an independent set.