Results 11 to 20 of about 97 (73)

Edge odd graceful labeling of some path and cycle related graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2017
Solairaju and Chithra introduced a new type of labeling of a graph with vertices and edges called an edge odd graceful labeling if there is a bijection from the edges of the graph to the set such that, when each vertex is assigned the sum of all edges ...
S.N. Daoud
doaj   +6 more sources

The Edge Odd Graceful Labeling of Water Wheel Graphs [PDF]

open access: yesAxioms
A graph, G=(V,E), is edge odd graceful if it possesses edge odd graceful labeling. This labeling is defined as a bijection g:E(G)→{1,3,…,2m−1}, from which an injective transformation is derived, g*:V(G)→{1,2,3,…,2m−1}, from the rule that the image of u∈V(
Mohammed Aljohani, Salama Nagy Daoud
doaj   +5 more sources

Edge Odd Graceful Labeling in Some Wheel-Related Graphs [PDF]

open access: yesMathematics
A graph’s edge labeling involves the allocation of symbols (colors or numbers) to the edges of a graph governed by specific criteria. Such labeling of a graph G with order n and size m is named edge odd graceful if there is a bijective map φ from the set
Mohammed Aljohani, Salama Nagy Daoud
doaj   +5 more sources

Edge Odd Graceful Labeling of Cylinder and Torus Grid Graphs [PDF]

open access: yesIEEE Access, 2019
Solairaju and Chithra introduced a new type of labeling of a graph G with p vertices and q edges called an edge odd graceful labeling if there is a bijection f from the edges of the graph to the set {1, 3, ...
S. N. Daoud
doaj   +4 more sources

On edge-graceful labeling and deficiency for regular graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
An edge-graceful labeling of a finite simple graph with vertices and edges is a bijection from the set of edges to the set of integers such that the vertex sums are pairwise distinct modulo , where the vertex sum at a vertex is the sum of labels of all ...
Tao-Ming Wang, Guang-Hui Zhang
doaj   +5 more sources

Block-Graceful Designs [PDF]

open access: yesJournal of Mathematics, 2023
In this article, we adapt the edge-graceful graph labeling definition into block designs and define a block design V,B with V=v and B=b as block-graceful if there exists a bijection f:B⟶1,2,…,b such that the induced mapping f+:V⟶Zv given by f+x=∑x∈AA ...
Dilara Erdemir, Emre Kolotoğlu
doaj   +4 more sources

Tight super-edge-graceful labelings of trees and their applications [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
The concept of graceful labeling of graphs has been extensively studied. In 1994, Mitchem and Simoson introduced a stronger concept called super-edge-graceful labeling for some classes of graphs.
Alex Collins, Colton Magnant, Hua Wang
doaj   +3 more sources

Random Generation Topology Coding Technique in Asymmetric Topology Encryption [PDF]

open access: yesMathematics
The security of traditional public key cryptography algorithms depends on the difficulty of the underlying mathematical problems. Asymmetric topological encryption is a graph-dependent encryption algorithm produced to resist attacks by quantum computers ...
Jing Su, Bing Yao
doaj   +2 more sources

Edge even and edge odd graceful labelings of Paley Graphs

open access: yesJournal of Physics: Conference Series, 2021
Abstract Edge even graceful labeling is a novel graceful labelling, introduced in 2017 by Elsonbaty and Daoud. A graph G with p vertices and q edges is called an edge even graceful if there is a bijection f: E(G) → {2, 4,. . ., 2q} such that, when each vertex is assigned the sum of the labels of all edges incident to it mod 2k, where k =
T Kamaraj, J Thangakani
openaire   +1 more source

SOME CARTESIAN PRODUCTS OF A PATH AND PRISM RELATED GRAPHS THAT ARE EDGE ODD GRACEFUL [PDF]

open access: yes, 2021
Let $G$ be a connected undirected simple graph of size $q$ and let $k$ be the maximum number of its order and its size. Let $f$ be a bijective edge labeling which codomain is the set of odd integers from 1 up to $2q-1$.
Susanti, Yeni   +3 more
core   +2 more sources

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