• discipline of graph theory, a graph labeling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. Formally...
    9 KB (1,060 words) - 22:11, 26 March 2024
  • theorem Girth Graph drawing Graph homomorphism Graph labeling Graceful labeling Graph partition Graph pebbling Graph property Graph reduction Graph-structured...
    7 KB (664 words) - 12:10, 30 October 2023
  • application of graph theory, where subsets of connected components are uniquely labeled based on a given heuristic. Connected-component labeling is not to...
    27 KB (3,192 words) - 07:37, 27 December 2023
  • Thumbnail for Graceful labeling
    A graph which admits a graceful labeling is called a graceful graph. The name "graceful labeling" is due to Solomon W. Golomb; this type of labeling was...
    9 KB (874 words) - 17:48, 28 April 2024
  • Thumbnail for Graph coloring
    graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject...
    67 KB (7,996 words) - 05:55, 18 June 2024
  • or edges have labels. The terms vertex-labeled or edge-labeled may be used to specify which objects of a graph have labels. Graph labeling refers to several...
    106 KB (15,667 words) - 12:01, 16 May 2024
  • Thumbnail for Multigraph
    vertices and the same arc label (note that this notion of a labeled graph is different from the notion given by the article graph labeling). Multidimensional...
    8 KB (1,028 words) - 09:29, 2 April 2024
  • Thumbnail for Tree (graph theory)
    In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or equivalently a connected acyclic undirected...
    27 KB (3,400 words) - 07:09, 8 June 2024
  • classification algorithm produces a canonical labeling of a graph chosen uniformly at random from the set of all n-vertex graphs after only two refinement steps. Small...
    9 KB (1,045 words) - 08:40, 7 June 2024
  • on the vertex labeling, its spectrum is a graph invariant, although not a complete one. Spectral graph theory is also concerned with graph parameters that...
    15 KB (1,825 words) - 10:14, 23 April 2024