Results 21 to 30 of about 2,693,458 (344)

Distance labeling in graphs [PDF]

open access: yesJournal of Algorithms, 2004
Summary: We consider the problem of labeling the nodes of a graph in a way that will allow one to compute the distance between any two nodes directly from their labels (without using any additional information). Our main interest is in the minimal length of labels needed in different cases.
Gavoille, Cyril   +3 more
openaire   +4 more sources

Modular Irregular Labeling on Double-Star and Friendship Graphs

open access: yesJournal of Mathematics, 2021
A modular irregular graph is a graph that admits a modular irregular labeling. A modular irregular labeling of a graph G of order n is a mapping of the set of edges of the graph to 1,2,…,k such that the weights of all vertices are different.
K. A. Sugeng   +3 more
doaj   +1 more source

Graphs with Flexible Labelings [PDF]

open access: yesDiscrete & Computational Geometry, 2018
For a flexible labeling of a graph, it is possible to construct infinitely many non-equivalent realizations keeping the distances of connected points constant. We give a combinatorial characterization of graphs that have flexible labelings. The characterization is based on colorings of the edges with restrictions on the cycles.
Georg Grasegger   +2 more
openaire   +3 more sources

--supermagic labeling of graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
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
openaire   +2 more sources

THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING

open access: yesBarekeng, 2022
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
doaj   +1 more source

Shifted-Antimagic Labelings for Graphs [PDF]

open access: yesGraphs and Combinatorics, 2021
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
openaire   +3 more sources

Some New Results on Lucky Labeling

open access: yesمجلة بغداد للعلوم, 2023
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
doaj   +1 more source

A Novel Approach for Cyclic Decompositions of Balanced Complete Bipartite Graphs into Infinite Graph Classes

open access: yesJournal of Function Spaces, 2022
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
doaj   +1 more source

Edge-Labeling Graph Neural Network for Few-Shot Learning [PDF]

open access: yesComputer Vision and Pattern Recognition, 2019
In this paper, we propose a novel edge-labeling graph neural network (EGNN), which adapts a deep neural network on the edge-labeling graph, for few-shot learning.
Jongmin Kim   +3 more
semanticscholar   +1 more source

A Dynamic Survey of Graph Labeling

open access: yesElectronic Journal of Combinatorics, 2009
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 years over 200 graph labelings techniques have been studied in over
Joseph A. Gallian
semanticscholar   +1 more source

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