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.
Graph Labeling | The Electronic Journal of Combinatorics
WEBFeb 11, 1998 · A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labelings were first introduced in the mid 1960s. In the intervening 50 years nearly 200 graph labelings techniques have been studied in over 2000 papers.
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.
Symmetry | Special Issue : Graph Labelings and Their Applications …
WEBMay 15, 2022 · Graph labeling is the mapping of elements of a graph (which can be vertices, edges, faces or a combination) to a set of numbers. The mapping usually produces partial sums (weights) of the labeled elements of the graph, and they often have an asymmetrical distribution.
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.
WEBA graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labelings were rst introduced in the mid-
Introduction - SpringerLink
WEBSep 15, 2019 · Graph labelings provide useful mathematical models for a wide range of applications, such as data security, cryptography (secret sharing schemes), astronomy, various coding theory problems, communication networks, mobile telecommunication systems, bioinformatics, and X -ray crystallography.
A guide to the graph labeling zoo - ScienceDirect
WEBMar 30, 1994 · 1. Introduction A vertex labeling, valuation or numbering of a graph G is an assignment f of labels to the vertices of G that induces for each edge xy a label depending on the vertex labels f (x) and fly). Most graph labeling methods trace their origin to one introduced by Rosa [Ga66] 1 in 1967, or one given by Graham and Sloane [Ga36] in 1980.
WEBGraph labeling is one of the most popular and dynamic areas of graph theory, perhaps even among all of mathematics. The standard problem involves a graph having labels from a given set of integers on its vertices and then are …
12.2: Graph Basics - Mathematics LibreTexts
WEBFigure 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 label vertices with letters. For example, Graph G has vertices a, b, c, and d, and Multigraph H has vertices, e, f, g, and h.
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