Results 61 to 70 of about 3,517 (256)

Note on the group edge irregularity strength of graphs [PDF]

Applied Mathematics and Computation, 2019
We investigate the \textit{edge group irregularity strength} ($es_g(G)$) of graphs, i.e. the smallest value of $s$ such that taking any Abelian group $\mathcal{G}$ of order $s$, there exists a function $f:V(G)\rightarrow \mathcal{G}$ such that the sums of vertex labels at every edge are distinct.
Marcin Anholcer, Sylwia Cichacz
openaire   +3 more sources

Thermomechanical Fatigue and Creep–Fatigue Interaction of Inconel 718 Additively Manufactured by Laser Beam Powder Bed Fusion

Advanced Engineering Materials, EarlyView.
Thermomechanical fatigue tests of laser beam powder bed fusion (PBF‐LB) Inconel 718 show that the additively manufactured material reaches almost the lifetimes of conventionally‐rolled material under no‐dwell conditions. Introducing dwell times at the maximum temperature markedly reduces the lifetimes due to pronounced grain boundary sliding associated
Stefan Guth, Tomáš Babinský, Jan Lars Riedel, Wen Hao Kan, Aijun Huang, Martin Heilmaier, Ivo Šulák   +6 more
wiley   +1 more source

On Edge H-Irregularity Strengths of Some Graphs

Discussiones Mathematicae Graph Theory, 2021
For a graph G an edge-covering of G is a family of subgraphs H1, H2, . . . , Ht such that each edge of E(G) belongs to at least one of the subgraphs Hi, i = 1, 2, . . . , t. In this case we say that G admits an (H1, H2, . . . , Ht)-(edge) covering.
Naeem Muhammad, Siddiqui Muhammad Kamran, Bača Martin, Semaničová-Feňovčíková Andrea, Ashraf Faraha   +4 more
doaj   +1 more source

Engineered Mycelial Scaffolds With Tunable Ultraviolet Protection, Wettability, Thermal Stability, and Spatial Mechanics

Advanced Engineering Materials, EarlyView.
Fungal mycelia grown into biodegradable scaffolds and infused with titania nanoparticles show enhanced ultraviolet shielding, thermal protection, and surface nonwettability. Properties were tuned by drying methods, revealing structure–function relationships.
Juwon S. Afolayan, Xin Zhang, Carole C. Perry   +2 more
wiley   +1 more source

On cycle-irregularity strength of ladders and fan graphs

Electronic Journal of Graph Theory and Applications, 2020
A simple graph G = (V(G),E(G)) admits an H-covering if every edge in E(G) belongs to at least one subgraph of G isomorphic to a given graph H. A total k-labeling φ : V(G) ∪ E(G) → {1,2,..., k} is called to be an H-irregular total k-labeling of the graph ...
Faraha Ashraf, Martin Baca, Andrea Semanicova-Fenovcikova, Suhadi Wido Saputro   +3 more
doaj   +1 more source

Influence of an Oxygen‐Free Atmosphere on Diamond‐Single‐Grain Scratching of Ti–6Al–4V

Advanced Engineering Materials, EarlyView.
Single‐grain scratching of Ti–6Al–4V is investigated under controlled, oxygen‐free, and ambient atmospheres using a novel experimental setup with in situ high‐speed imaging. The approach enables direct observation of chip formation and adhesion under suppressed oxidation.
Berend Denkena, Benjamin Bergmann, Michael Zenger   +2 more
wiley   +1 more source

Edge irregularity strength of certain families of comb graph

Proyecciones (Antofagasta), 2020
Edge irregular mapping or vertex mapping h : V (U ) −→ {1, 2, 3, 4, ..., s} is a mapping of vertices in such a way that all edges have distinct weights. We evaluate weight of any edge by using equation wth(cd) = h(c)+h(d), ∀c, d ∈ V (U ) and ∀cd ∈ E(U ). Edge irregularity strength denoted by es(U ) is a minimum positive integer use to label vertices to
Xiujun Zhang, Murat Cancan, Muhammad Faisal Nadeem, Muhammad Imran   +3 more
openaire   +4 more sources

Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere

Advanced Engineering Materials, EarlyView.
In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May, Finn‐Lennard Janthur, Lena Kreie, Michael Müller, Sarah Seffer, Nick Schwarz, Jörg Hermsdorf, Thomas Hassel, Stefan Kaierle, Ludger Overmeyer   +9 more
wiley   +1 more source

Modular irregularity strength of disjoint union of cycle-related graph [PDF]

ITM Web of Conferences
Let G = (V,E) be a graph with a vertex set V and an edge set E of G, with order n. Modular irregular labeling of a graph G is an edge k-labeling φ:E → {1, 2,…,k} such that the modular weight of all vertices is all different. The modular weight is defined
Barack Zeveliano Zidane, Sugeng Kiki Ariyanti   +1 more
doaj   +1 more source

The total disjoint irregularity strength of some certain graphs

Indonesian Journal of Combinatorics, 2020
Under a totally irregular total k-labeling of a graph G = (V, E), we found that for some certain graphs, the edge-weight set W (E) and the vertex-weight set W (V ) of G which are induced by k=ts(G), W(E)∩W(V) is a non empty set.
Meilin I Tilukay, A. N. M. Salman
doaj   +1 more source