Results 11 to 20 of about 601 (189)

Modular Irregular Labeling on Double-Star and Friendship Graphs

Journal 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, Z. Z. Barack, N. Hinding, R. Simanjuntak   +3 more
doaj   +1 more source

Modular irregularity strength on some flower graphs

Electronic Journal of Graph Theory and Applications, 2023
Summary: Let \(G = (V(G),E(G))\) be a graph with the nonempty vertex set \(V(G)\) and the edge set \(E(G)\). Let \(\mathbb{Z}_{n}\) be the group of integers modulo \(n\) and let \(k\) be a positive integer. A modular irregular labeling of a graph \(G\) of order \(n\) is an edge \(k\)-labeling \(\varphi: E(G) \rightarrow \{1, 2, \dots, k\}\), such that ...
Kiki A. Sugeng, Peter John, Michelle L. Lawrence, Lenny F. Anwar, Martin Bača, Andrea Semaničová-Feňovčíková   +5 more
openaire   +1 more source

Modular total vertex irregularity strength of graphs

AIMS Mathematics, 2023
<abstract><p>A (modular) vertex irregular total labeling of a graph $ G $ of order $ n $ is an assignment of positive integers from $ 1 $ to $ k $ to the vertices and edges of $ G $ with the property that all vertex weights are distinct. The vertex weight of a vertex $ v $ is defined as the sum of numbers assigned to the vertex $ v $ itself
Gohar Ali, Martin Bača, Marcela Lascśaková, Andrea Semaničová–Feňovčíková, Ahmad Aloqaily, Nabil Mlaiki   +5 more
openaire   +2 more sources

Modular Version of Edge Irregularity Strength for Fan and Wheel Graphs

Symmetry, 2022
A k-labeling from the vertex set of a simple graph G=(V,E) to a set of integers {1,2,…,k} is defined to be a modular edge irregular if, for every couple of distinct edges, their modular edge weights are distinct. The modular edge weight is the remainder of the division of the sum of end vertex labels by modulo |E(G)|.
Debi Oktia Haryeni, Zata Yumni Awanis, Martin Bača, Andrea Semaničová-Feňovčíková   +3 more
openaire   +1 more source

The Modular Irregularity Strength of Triangular Book Graphs

Tensor: Pure and Applied Mathematics Journal, 2021
This paper deals with the modular irregularity strength of a graph of  vertices, a new graph invariant, modified from the well-known irregularity strength, by changing the condition of the vertex-weight set associate to the irregular labeling from  distinct positive integer to -the group of integer modulo .
openaire   +1 more source

Modular Irregularity Strength of Triangular Book Graph

, 2021
This paper deals with the modular irregularity strength of a graph of n vertices, a new graph invariant, modified from the irregularity strength, by changing the condition of the vertex-weight set associate to the well-known irregular labeling from n distinct positive integer to Z_n-the group of integer modulo n. Investigating the triangular book graph
openaire   +2 more sources

Modular irregularity strength of dense graphs

Electronic Journal of Graph Theory and Applications
Summary: We solve the open problem posed in [the last author et al., Electron. J. Graph Theory Appl. 8, No. 2, 435--443 (2020; Zbl 1468.05255)], asking about the modular irregularity strength of the complete graph \(K_n\) for all \(n\geq 3\). Furthermore, we establish also the exact values of the modular irregularity strength of complete bipartite ...
Suparta, I. Nengah, Candiasa, Made, Prasancika, Kadek Wahyu, Baca, Martin   +3 more
openaire   +2 more sources

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

Advanced Functional Materials, EarlyView.
Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source

Lipid Nanoparticles for the Delivery of CRISPR/Cas9 Machinery to Enable Site‐Specific Integration of CFTR and Mutation‐Agnostic Disease Rescue

Advanced Functional Materials, EarlyView.
Lipid nanoparticles (LNPs) are optimized to co‐deliver Cas9‐encoding messenger RNA (mRNA), a single guide RNA (sgRNA) targeting the endogenous cystic fibrosis transmembrane conductance regulator (CFTR) gene, and homologous linear double‐stranded donor DNA (ldsDNA) templates encoding CFTR.
Ruth A. Foley, Paul G. Ayoub, Vrishti Sinha, Colin Juett, Alicia Sanoyca, Emily C. Duggan, Lindsay E. Lathrop, Priyanka Bhatt, Kevin Coote, Beate Illek, Brigitte N. Gomperts, Donald B. Kohn, Steven J. Jonas   +12 more
wiley   +1 more source

Melt Grafting of Geometry‐Tailored Voltage Stabilizers for High‐Performance Polypropylene Insulation

Advanced Functional Materials, EarlyView.
A scalable one‐step melt grafting strategy is developed to enhance the dielectric properties of isotactic polypropylene by covalently incorporating thermally stable aromatic voltage stabilizers. This solvent‐free approach improves volume resistivity and DC breakdown strength through deep trap formation and charge localization, offering a sustainable ...
Nazirul Mubin bin Normansah, Taehoon Kwon, Hana Kim, Shin‐Ki Hong, Seung Won Lee, Se Hee Lee, Ik‐Su Kwon, Masahiro Kozako, Minhee Kim, Seunggun Yu   +9 more
wiley   +1 more source