Results 61 to 70 of about 412,708 (144)

A Super (A,D)-Bm-Antimagic Total Covering of Ageneralized Amalgamation of Fan Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2017
All graph in this paper are finite, simple and undirected. Let G, H be two graphs. A graph G is said to be an (a,d)-H-antimagic total graph if there exist a bijective function  such that for all subgraphs H’ isomorphic to H, the total H-weights form an ...
Ika Hesti Agustin   +3 more
doaj   +1 more source

Regular handicap graphs of order n ≡ 4 (mod 8)

open access: yesElectronic Journal of Graph Theory and Applications, 2022
A handicap distance antimagic labeling of a graph G = (V, E) with n vertices is a bijection f : V → {1, 2, …, n} with the property that f(xi)=i, the weight w(xi) is the sum of labels of all neighbors of xi, and the sequence of the weights w(x1),w(x2),…,w(
Dalibor Froncek, Aaron Shepanik
doaj   +1 more source

Super (a; d)-star-antimagic graphs

open access: yesHacettepe Journal of Mathematics and Statistics, 2018
Summary: A simple graph \(G=(V,E)\) admitting an \(H\)-covering is said to be \((a,d)\)-\(H\)-antimagic if there exists a bijection \(f : V \cup E \rightarrow \{1,2,\dots,|V| + |E|\}\) such that, for all subgraphs \(H'\) of \(G\) isomorphic to \(H\), \(wt_f(H') = \sum_{v \in V(H')}f(v)+\sum_{e \in E(H')}f(e)\), form an arithmetic progression \(a\), \(a+
SELVAGOPAL, Pothukutti Nadar   +3 more
openaire   +3 more sources

lnteger-antimagic Labeling of Graphs

open access: yes, 2022
Let A be a non-trivial abelian group. A connected simple graph G = (V, E) is A-antimagic, ifthere exists an edge labeling : () → \{0} such that the induced vertex labeling +() =Σ{,}∈ () ({, }) is a one-to-one map.
Odabaşı, Uğur
core  

Local total anti-magic chromatic number of graphs

open access: yesHeliyon, 2023
Let G=(V,E) be a graph without isolated vertices and let |V(G)|=n and |E(G)|=m. A bijection π:V(G)∪E(G)→{1,2,....,n+m} is said to be local total anti-magic labeling of a graph G if it satisfies the conditions: (i.) for any edge uv, ω(u)≠ω(v), where u and
V. Sandhiya, M. Nalliah
doaj   +1 more source

Antimagic Orientation of Biregular Bipartite Graphs

open access: yesThe Electronic Journal of Combinatorics, 2017
An antimagic labeling of a directed graph $D$ with $n$ vertices and $m$ arcs is a bijection from the set of arcs of $D$ to the integers $\{1, \cdots, m\}$ such that all $n$ oriented vertex sums are pairwise distinct, where an oriented vertex sum is the sum of labels of all arcs entering that vertex minus the sum of labels of all arcs leaving it.
Songling Shan, Xiaowei Yu
openaire   +4 more sources

A generalization of magic and antimagic labelings of graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
A k-magic labeling of a finite, simple graph with and is a bijection from the set of edges into the integers such that the vertex set can be partitioned into sets and each vertex in the set has the same vertex sum and any two distinct vertices in different sets have different vertex sum, where a vertex sum is the sum of the labels of all edges incident
C. Meenakshi, KM. Kathiresan
openaire   +3 more sources

Orientable -distance magic regular graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2021
Hefetz, Mütze, and Schwartz conjectured that every connected undirected graph admits an antimagic orientation (Hefetz et al., 2010). In this paper we support the analogous question for distance magic labeling. Let be an Abelian group of order .
Paweł Dyrlaga, Karolina Szopa
doaj   +1 more source

Complete characterization of graphs with local total antimagic chromatic number 3 [PDF]

open access: yesOpuscula Mathematica
A total labeling of a graph \(G = (V, E)\) is said to be local total antimagic if it is a bijection \(f: V\cup E \to\{1,\ldots,|V|+|E|\}\) such that adjacent vertices, adjacent edges, and pairs of an incident vertex and edge have distinct induced weights
Gee-Choon Lau
doaj   +1 more source

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