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THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING
Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non ...
Ahmad Lasim +2 more
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--supermagic labeling of graphs [PDF]
A simple graph admits an -covering if every edge in belongs to a subgraph of isomorphic to . The graph is said to be -magic if there exists a total labeling such that for every subgraph of isomorphic to , is constant. Additionally, the labeling is called - supermagic labeling if .
C. Chithra, G. Marimuthu, G. Kumar
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Shifted-Antimagic Labelings for Graphs [PDF]
The concept of antimagic labelings of a graph is to produce distinct vertex sums by labeling edges through consecutive numbers starting from one. A long-standing conjecture is that every connected graph, except a single edge, is antimagic. Some graphs are known to be antimagic, but little has been known about sparse graphs, not even trees.
Fei-Huang Chang +3 more
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A Bibliometric Analysis of Graph Labeling Study Using VOSviewer
Graph labeling is a well-known theme of graph theory that involves an assignment of integers to the domain elements such as vertices or edges, or both, subject to certain conditions.
Yoong Kooi Kuan +3 more
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Some New Results on Lucky Labeling
Czerwi’nski et al. introduced Lucky labeling in 2009 and Akbari et al and A.Nellai Murugan et al studied it further. Czerwi’nski defined Lucky Number of graph as follows: A labeling of vertices of a graph G is called a Lucky labeling if for every pair ...
J. Ashwini +2 more
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Graph theory is considered an attractive field for finding the proof techniques in discrete mathematics. The results of graph theory have applications in many areas of social, computing, and natural sciences.
A. El-Mesady +2 more
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In this note, Schützenberger's notion of evacuation of Young tableaux [\textit{M. P. Schützenberger}, Math. Scand. 12, 117-128 (1963; Zbl 0216.302)] and of naturally labelled posets [\textit{M. P. Schützenberger}, Discrete Math. 2, 73-94 (1972; Zbl 0279.06001)] are extended to labelled graphs.
MALVENUTO, Claudia, REUTENAUER C.
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Odd Fibonacci Stolarsky-3 Mean Labeling of Some Special Graphs
Let G be a graph with p vertices and q edges and an injective function where each is a odd Fibonacci number and the induced edge labeling are defined by and all these edge labeling are distinct is called Odd Fibonacci Stolarsky-3 Mean Labeling.
M Sree Vidya, S.S Sandhya
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Near-optimal adjacency labeling scheme for power-law graphs [PDF]
An adjacency labeling scheme is a method that assigns labels to the vertices of a graph such that adjacency between vertices can be inferred directly from the assigned label, without using a centralized data structure.
Petersen, Casper +3 more
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L(2,1)—labeling of the bracelet graph
In order to better study the channel assignment problem, a function from the vertex set to the set of all nonnegative integers is generated, that is the L(2,1)—labeling of a graph. Let the least label be zero, the L(2,1)—labeling number of a graph is the
Haiping LI, Ying YANG
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