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On H-irregular reflexive labeling of graph

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
By an irregular reflexive  labeling, we mean a function  and  such that  if  and  if , where  max . Let , the irregular reflexive  labeling is called an -irregular reflexive -labeling of graph  if every two different sub graphs  and  isomorphic to , it ...
Marsidi Marsidi   +4 more
doaj   +2 more sources

Note on edge irregular reflexive labelings of graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
For a graph G, an edge labeling fe:E(G)→{1,2,…,ke}and a vertex labeling fv:V(G)→{0,2,4,…,2kv}are called total k-labeling, where k=max{ke,2kv}. The total k-labeling is called an edge irregular reflexive k-labeling of the graph G, if for every two ...
Martin Bača   +4 more
doaj   +3 more sources

Modular Irregular Labeling on Double-Star and Friendship Graphs [PDF]

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   +2 more sources

On Edge Irregular Reflexive Labeling for Generalized Prism [PDF]

open access: yesJournal of Mathematics, 2022
Among the various ideas that appear while studying graph theory, which has gained much attraction especially in graph labeling, labeling of graphs gives mathematical models which value for a vast range of applications in high technology (data security ...
Chenxi Wang   +5 more
doaj   +2 more sources

Irregular labelings of helm and sun graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
A vertex irregular total k-labeling of a (p,q)-graph G=(V,E) is a labeling ϕ:V∪E→{1,2,…,k} such that the weights of the vertices wt(v)=ϕ(v)+∑uv∈Eϕ(uv) are different for all vertices.
Ali Ahmad   +2 more
doaj   +2 more sources

Vertex irregular reflexive labeling of prisms and wheels [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
For a graph we define -labeling such that the edges of are labeled with integers and the vertices of are labeled with even integers , where . The labeling is called a vertex irregular reflexive -labeling if distinct vertices have distinct weights, where ...
Dushyant Tanna   +3 more
doaj   +2 more sources

Totally irregular total labeling of some caterpillar graphs [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2020
Assume that G(V,E) is a graph with V and E as its vertex and edge sets, respectively. We have G is simple, connected, and undirected. Given a function λ from a union of V and E into a set of k-integers from 1 until k.
Diari Indriati   +4 more
doaj   +3 more sources

The Distance Irregular Reflexive k-Labeling of Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
A total k-labeling is a function fe from the edge set to the set {1, 2, . . . , ke} and a function fv from the vertex set to the set {0, 2, 4, . . . , 2kv}, where k = max{ke, 2kv}.
Ika Hesti Agustin   +4 more
doaj   +3 more sources

Further Results on (a, d) -total Edge Irregularity Strength of Graphs

open access: yesمجلة بغداد للعلوم, 2023
Consider a simple graph   on vertices and edges together with a total  labeling . Then ρ is called total edge irregular labeling if there exists a one-to-one correspondence, say  defined by  for all  where  Also, the value  is said to be the edge weight
MUTHUGURUPACKIAM1 K   +3 more
doaj   +1 more source

Odd Fibonacci edge irregular labeling for some trees obtained from subdivision and vertex identification operations

open access: yesمجلة بغداد للعلوم, 2023
Let G be a graph with p vertices and q edges and  be an injective function, where k is a positive integer. If the induced edge labeling   defined by for each is a bijection, then the labeling f is called an odd Fibonacci edge irregular labeling of G.
M. Uma Devi, M. Kamaraj, S. Arockiaraj
doaj   +1 more source

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