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On vertex and edge H-irregularity strengths of graphs

Discrete Mathematics, Algorithms and Applications, 2016
We introduce two new graph characteristics, the edge [Formula: see text]-irregularity strength and the vertex [Formula: see text]-irregularity strength of a graph. We estimate the bounds of these parameters and determine their exact values for several families of graphs namely, paths, ladders and fans.
Ashraf, Faraha   +3 more
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Total edge irregularity strength of ladder-related graphs

Asian-European Journal of Mathematics, 2018
An edge irregular total [Formula: see text]-labeling on simple and undirected graph [Formula: see text] is a map [Formula: see text] such that for any different edge [Formula: see text] and [Formula: see text] their weights [Formula: see text] and [Formula: see text] are distinct. The minimum [Formula: see text] for which the graph [Formula: see text]
Ratnasari, Lucia, Susanti, Yeni
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ON TOTAL EDGE IRREGULAR STRENGTH OF TRIANGLE RELATED GRAPHS

Transactions in Mathematical and Computational Sciences, 2021
An edge irregular total h -labeling of a simple, undirected and connected graph G(V,E) is a labeling defined by H : V ∪E → {1,2,3,...,h} so that for any two distinct edges pq,rs their weights are different; i.e. W_H (pq) 6 \ne W_H (rs) where W_H (pq) = H(p)+H(q)+H(pq).
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Edge Irregularity Strength of Binomial Trees

Communications on Applied Nonlinear Analysis
For a simple graph G, a vertex labeling φ: V (G) → {1, 2, · · ·, k} is called k- labeling. The weight of an edge uv in G, denoted by wφ(uv), is the sum of the labels of end vertices u and v. A vertex k-labeling is defined to be an edge irregular k- labeling of the graph G if for every two different edges e and f, wφ(e) wφ(f).
openaire   +1 more source

Edge irregularity strength of trees generated caterpillars

AIP Conference Proceedings, 2023
Charankumar Ganteda   +4 more
openaire   +1 more source

The technological landscape and applications of single-cell multi-omics

Nature Reviews Molecular Cell Biology, 2023
Zhiliang Bai, Rahul Satija, Rong Fan
exaly  

Architecture of the dynamic fungal cell wall

Nature Reviews Microbiology, 2022
Neil A R Gow, Megan D Lenardon
exaly  

Examining horizontal gene transfer in microbial communities

Nature Reviews Microbiology, 2021
Ilana L Brito
exaly  

ON EDGE IRREGULARITY STRENGTH OF SOME GRAPHS

Advances and Applications in Discrete Mathematics, 2019
openaire   +2 more sources

Oxygen K-edge X-ray Absorption Spectra

Chemical Reviews, 2020
Federica Frati   +2 more
exaly  

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