Graph labeling - Wikipedia
WEBIn the mathematical discipline of graph theory, a graph labeling is the assignment of labels, traditionally represented by integers, to edges and/or vertices of a graph. [1] Formally, given a graph G = (V, E), a vertex labeling is a function of V to a set of labels; a graph with such a function defined is called a vertex-labeled graph.
Labeled Graph -- from Wolfram MathWorld
WEBA labeled graph G=(V,E) is a finite series of graph vertices V with a set of graph edges E of 2-subsets of V. Given a graph vertex set V_n={1,2,...,n}, the number of vertex-labeled graphs is given by 2^(n(n-1)/2).
Labelled Graph - an overview | ScienceDirect Topics
WEBA labeled graph is a triple G ( V, E, L) where ( V, E) is a graph, and L: V ∪ E → Z is a mapping from the set of nodes V and edges E to the set of node and edge labels Z. A graph with labels on its nodes is called node-labeled, whereas a graph with labels on edges is called edge-labeled.
12.2: Graph Basics - Mathematics LibreTexts
WEBIn a graph, the objects are represented with dots and their connections are represented with lines like those in Figure 12.3. Figure 12.3 displays a simple graph labeled G and a multigraph labeled H. The dots are called vertices; an individual dot is a vertex, which is one object of a set of objects, some of which may be connected. We often ...
Graphs and graph representations - Department of Computer …
WEBA graph is a highly useful mathematical abstraction. A graph consists of a set of vertices (also called nodes) and a set of edges (also called arcs) connecting those vertices. There are two main kinds of graphs: undirected graphs and directed graphs.
Graphs and graph representations - Cornell University
WEBA graph is a highly useful mathematical abstraction. A graph consists of a set of vertices (also called nodes) and a set of edges (also called arcs) connecting those vertices. There are two main kinds of graphs: undirected graphs and directed graphs.
labeled graph - PlanetMath.org
WEBFeb 9, 2018 · A labeled graph is a pair (G,ℓ) ( G, ℓ) where G G is a graph and ℓ ℓ is a labeling of G G. An example of a labeling of a graph is a coloring of a graph. Uses of graph labeling outside of combinatorics can be found in areas such as order theory, language theory, and proof theory.
Graphs Labelings - SpringerLink
WEBFeb 28, 2017 · By a labeling of a graph, also known as a valuation of a graph, we mean a map that carries graph elements onto numbers (usually the positive or nonnegative integers) called labels that meet some properties depending on the type of labeling that we are considering.
How to Label a Graph - SpringerLink
WEBThis book depicts graph labelings that have led to thought-provoking problems and conjectures; introducing problems and conjectures of graceful labelings, harmonious labelings, prime labelings, additive labelings, and zonal labelings with fundamentals, examples, and illustrations.
Graph Labelings: A Prime Area to Explore | SpringerLink
WEBJul 5, 2022 · A graph labeling assigns integers to the vertices or edges (or both) of a graph, subject to certain conditions. Labelings were first studied in the late 1960s, making them a relatively new area of mathematics to explore.
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