Results 21 to 30 of about 2,584 (237)

Total irregularity strength for product of two paths

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
In this paper we define a totally irregular total labeling for Cartesian and strong product of two paths, which is at the same time vertex irregular total labeling and also edge irregular total labeling.
Muhammad Kamran Siddiqui   +2 more
doaj   +1 more source

On Total Edge Irregularity Strength of Staircase Graphs and Related Graphs [PDF]

open access: yesIranian Journal of Mathematical Sciences and Informatics, 2020
Summary: Let \(G=(V(G),E(G))\) be a connected simple undirected graph with non empty vertex set \(V(G) \)and edge set \(E(G)\). For a positive integer \(k\), by an edge irregular total \(k\)-labeling we mean a function \(f \colon V(G) \cup E(G) \rightarrow \{1,2,\ldots,k\}\) such that for each two edges \(ab\) and \(cd\), it follows that \(f(a)+f(ab)+f(
Susanti, Yeni   +2 more
openaire   +2 more sources

TOTAL EDGE IRREGULAR LABELING FOR TRIANGULAR GRID GRAPHS AND RELATED GRAPHS

open access: yesBarekeng, 2023
Let  be a graph with  and  are the set of its vertices and edges, respectively. Total edge irregular -labeling on  is a map from  to  satisfies for any two distinct edges have distinct weights. The minimum  for which the  satisfies the labeling is spoken
Muhammad Nurul Huda, Yeni Susanti
doaj   +1 more source

On Edge Irregular Total k-labeling and Total Edge Irregularity Strength of Barbell Graphs

open access: yesJournal of Physics: Conference Series, 2019
Abstract Let G be a connected graph with a non empty vertex set V(G) and edge set E(G). An edge irregular total k-labeling of a graph G is a labeling λ : V(G) ⋃ E(G) → {1, 2, …, k}, so that every two different edges have different weights.
Melli Aftiana, Diari Indriati
openaire   +1 more source

Total edge irregularity strength of subdivision of star

open access: yesJournal of Discrete Mathematical Sciences and Cryptography, 2015
This research is the development from Siddiqui's research on edge irregularity strength of subdivision of star.
Hinding, Nurdin   +2 more
openaire   +3 more sources

On irregularity strength of disjoint union of friendship graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2013
We investigate the vertex total and edge total modication of the well-known irregularity strength of graphs. We have determined the exact values of the total vertex irregularity strength and the total edge irregularity strength of a disjoint union of ...
Ali Ahmad, Martin Baca, Muhammad Numan
doaj   +1 more source

Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0)

open access: yesJournal of Mathematics, 2021
In this study, we used grids and wheel graphs G=V,E,F, which are simple, finite, plane, and undirected graphs with V as the vertex set, E as the edge set, and F as the face set.
Aleem Mughal, Noshad Jamil
doaj   +1 more source

Total Edge Irregularity Strength of Butterfly Networks

open access: yesInternational Journal of Computer Applications, 2012
Given a graph G (V, E) a labeling : VE{1, 2... k} is called an edge irregular total k-labeling if for every pair of distinct edges uv and xy, (u) + (uv) + (v)  (x) + (xy) + (y). The minimum k for which G has an edge irregular total k-labeling is called the total edge irregularity strength of G.
S. Teresa Arockiamary   +2 more
openaire   +1 more source

On -irregularity strength of ladders and fan graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
We investigate modifications of the well-known irregularity strength of graphs, namely, total (vertex, edge) -irregularity strengths. Recently the bounds and precise values for some families of graphs concerning these parameters have been determined.
Faraha Ashraf   +3 more
doaj   +1 more source

Total Edge Irregularity Strength of q Tuple Book Graphs

open access: yesJournal of Mathematics Research, 2021
Let G(V, E) be a simple, undirected, and finite graph with a vertex set V and an edge set E. An edge irregular total k-labelling is a function f from the set V \cup E to the set of non-negative integer set (1, 2, ... , k) such that any two different edges in E have distinct weights.
Lucia Ratnasari   +3 more
openaire   +2 more sources

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