L(h, k)-coloring - definição. O que é L(h, k)-coloring. Significado, conceito
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O que (quem) é L(h, k)-coloring - definição


L(h, k)-coloring         
In graph theory, a L(h, k)-labelling, L(h, k)-coloring or sometimes L(p, q)-coloring is a (proper) vertex coloring in which every pair of adjacent vertices has color numbers that differ by at least h, and any nodes connected by a 2 length path have their colors differ by at least k. The parameters, h and k are understood to be non-negative integers.
graph colouring         
  • 3}}}} (blue) admits a 3-coloring; the other graphs admit a 2-coloring.
  • This graph can be 3-colored in 12 different ways.
  • Two greedy colorings of the same graph using different vertex orders. The right example generalizes to 2-colorable graphs with ''n'' vertices, where the greedy algorithm expends <math>n/2</math> colors.
ASSIGNMENT OF COLORS TO ELEMENTS OF A GRAPH SUBJECT TO CERTAIN CONSTRAINTS
Colouring algorithm; Coloring algorithm; Graph coloring algorithm; Chromatic number; Graph colouring problems; Graph coloring problem; Colored graph; Graph Colouring; Vertex chromatic number; K-vertex colorable; Vertex color; Graph colouring problem; Graph colouring; Three-Colorable Graph; Three-colorable graph; Vertex-colouring; Vertex colouring; Vertex coloring; Coloring problem; Colouring problem; Two-colorable graph; Graph two-coloring; Graph Two-Coloring; Graph coloration; Graph color; K-colouring; 3-colourability; Colourability; Proper coloring; K-coloring; Network coloring; Network colouring; K-chromatic graph; Distributed graph coloring; Cole–Vishkin algorithm; Cole-Vishkin algorithm; Mycielski's theorem; K-colorable; Unlabeled coloring; Vector chromatic number; Face coloring; Algorithms for graph coloring; Parallel algorithms for graph coloring; Applications of graph coloring; Decentralized graph coloring; Computational complexity of graph coloring
<application> A constraint-satisfaction problem often used as a test case in research, which also turns out to be equivalent to certain real-world problems (e.g. {register allocation}). Given a connected graph and a fixed number of colours, the problem is to assign a colour to each node, subject to the constraint that any two connected nodes cannot be assigned the same colour. This is an example of an NP-complete problem. See also four colour map theorem.
chromatic number         
  • 3}}}} (blue) admits a 3-coloring; the other graphs admit a 2-coloring.
  • This graph can be 3-colored in 12 different ways.
  • Two greedy colorings of the same graph using different vertex orders. The right example generalizes to 2-colorable graphs with ''n'' vertices, where the greedy algorithm expends <math>n/2</math> colors.
ASSIGNMENT OF COLORS TO ELEMENTS OF A GRAPH SUBJECT TO CERTAIN CONSTRAINTS
Colouring algorithm; Coloring algorithm; Graph coloring algorithm; Chromatic number; Graph colouring problems; Graph coloring problem; Colored graph; Graph Colouring; Vertex chromatic number; K-vertex colorable; Vertex color; Graph colouring problem; Graph colouring; Three-Colorable Graph; Three-colorable graph; Vertex-colouring; Vertex colouring; Vertex coloring; Coloring problem; Colouring problem; Two-colorable graph; Graph two-coloring; Graph Two-Coloring; Graph coloration; Graph color; K-colouring; 3-colourability; Colourability; Proper coloring; K-coloring; Network coloring; Network colouring; K-chromatic graph; Distributed graph coloring; Cole–Vishkin algorithm; Cole-Vishkin algorithm; Mycielski's theorem; K-colorable; Unlabeled coloring; Vector chromatic number; Face coloring; Algorithms for graph coloring; Parallel algorithms for graph coloring; Applications of graph coloring; Decentralized graph coloring; Computational complexity of graph coloring

Wikipédia

L(h, k)-coloring
In graph theory, a L(h, k)-labelling, L(h, k)-coloring or sometimes L(p, q)-coloring is a (proper) vertex coloring in which every pair of adjacent vertices has color numbers that differ by at least h, and any nodes connected by a 2 length path have their colors differ by at least k. The parameters, h and k are understood to be non-negative integers.