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Antimagic Labeling of Extension of Double Star [PDF]

open access: yesPandian Journal of Mathematical Sciences, 2022
An antimagic labeling of a simple, finite connected graph with p vertices and q edges is a bijection from the set of edges to the set of integers {1, 2, …, q} such that the vertex sums are pairwise distinct where the vertex sum at one vertex is the sum ...
Dr C. Meenakshi
doaj  

On Antimagic Labeling for Some Families of Graphs

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
Antimagic labeling of a graph  with  vertices and  edges is assigned the labels for its edges by some integers from the set , such that no two edges received the same label, and the weights of vertices of a graph  are pairwise distinct.
Noor K. Shawkat, Mohammed A. Ahmed
doaj   +1 more source

A note on incomplete regular tournaments with handicap two of order n≡8(mod 16) [PDF]

open access: yesOpuscula Mathematica, 2017
A \(d\)-handicap distance antimagic labeling of a graph \(G=(V,E)\) with \(n\) vertices is a bijection \(f:V\to \{1,2,\ldots ,n\}\) with the property that \(f(x_i)=i\) and the sequence of weights \(w(x_1),w(x_2),\ldots,w(x_n)\) (where \(w(x_i)=\sum_{x_i
Dalibor Froncek
doaj   +1 more source

Regular Graphs are Antimagic

open access: yesThe Electronic Journal of Combinatorics, 2015
An undirected simple graph $G=(V,E)$ is called antimagic if there exists an injective function $f:E\rightarrow\{1,\dots,|E|\}$ such that $\sum_{e\in E(u)} f(e)\neq\sum_{e\in E(v)} f(e)$ for any pair of different nodes $u,v\in V$. In this note we prove — with a slight modification of an argument of Cranston et al. — that $k$-regular graphs are antimagic
Kristóf Bérczi   +2 more
openaire   +4 more sources

On Rainbow Vertex Antimagic Coloring of Graphs: A New Notion

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2021
All graph in this paper are simple, finite, and connected. Let  be a labeling of a graph . The function  is called antimagic rainbow edge labeling if for any two vertices  and , all internal vertices in path  have different weight, where the weight of ...
Marsidi Marsidi   +3 more
doaj   +1 more source

On local antimagic total labeling of complete graphs amalgamation [PDF]

open access: yesOpuscula Mathematica, 2023
Let \(G = (V,E)\) be a connected simple graph of order \(p\) and size \(q\). A graph \(G\) is called local antimagic (total) if \(G\) admits a local antimagic (total) labeling.
Gee-Choon Lau, Wai Chee Shiu
doaj   +1 more source

Another Antimagic Decomposition of Generalized Peterzen Graph [PDF]

open access: yes, 2021
A decomposition of a graph P into a family Q consisting of isomorphic copies of a graph Q is (a,b)-Q-antimagic if there is a bijection φ:V(P)∪E(P)→{1,2,3,4…,v_P+e_P} such that for all subgraphs Q’ isomorphic to Q,   the Q-weights φ(Q’ )=∑_(v∈V(Q^' ))▒φ ...
M. Irvan Septiar Musti   +2 more
core   +1 more source

PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2

open access: yesBarekeng, 2021
The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to  such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all ...
Deddy Setyawan   +4 more
doaj   +1 more source

List-antimagic labeling of vertex-weighted graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2021
A graph $G$ is $k$-$weighted-list-antimagic$ if for any vertex weighting $\omega\colon V(G)\to\mathbb{R}$ and any list assignment $L\colon E(G)\to2^{\mathbb{R}}$ with $|L(e)|\geq |E(G)|+k$ there exists an edge labeling $f$ such that $f(e)\in L(e)$ for ...
Zhanar Berikkyzy   +4 more
doaj   +1 more source

Another Antimagic Conjecture

open access: yes, 2021
An antimagic labeling of a graph G is a bijection f:E(G)→{1,…,|E(G)|} such that the weights w(x)=∑y∼xf(y) distinguish all vertices. A well-known conjecture of Hartsfield and Ringel (1990) is that every connected graph other than K2 admits an antimagic ...
Tamaro Nadeak   +5 more
core   +1 more source

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