Results 71 to 80 of about 4,425 (218)

Graceful Labeling of Spider Graphs With at Most Five Legs

Journal of Applied Mathematics
A graceful labeling of a graph G with q edges is an injection f from the vertices of G to the set 0,1,⋯,q such that, when each edge uv is assigned the label fu−fv, the resulting edge labels are distinct.
A. Panpa, S. Imnang, T. Wasuanankul
doaj   +1 more source

On Integer Additive Set-Indexers of Graphs [PDF]

, 2014
A set-indexer of a graph $G$ is an injective set-valued function $f:V(G) \rightarrow2^{X}$ such that the function $f^{\oplus}:E(G)\rightarrow2^{X}-\{\emptyset\}$ defined by $f^{\oplus}(uv) = f(u){\oplus} f(v)$ for every $uv{\in} E(G)$ is also injective ...
Germina, K. A., Sudev, N. K.
core   +2 more sources

On cordial labeling of hypertrees

, 2019
Let $f:V\rightarrow\mathbb{Z}_k$ be a vertex labeling of a hypergraph $H=(V,E)$. This labeling induces an~edge labeling of $H$ defined by $f(e)=\sum_{v\in e}f(v)$, where the sum is taken modulo $k$.
Tuczyński, Michał, Wenus, Przemysław, Węsek, Krzysztof   +2 more
core   +1 more source

SciLitMiner: An Intelligent System for Scientific Literature Mining and Knowledge Discovery

Advanced Intelligent Systems, EarlyView.
SciLitMiner is an intelligent system that federately ingests scientific literature, filters it using advanced information retrieval methods, and applies retrieval‐augmented generation tailored to scientific domains. Demonstrated on creep deformation in γ‐TiAl alloys, SciLitMiner provides a controlled workflow for systematic knowledge discovery and ...
Vipul Gupta, Jonathan David Heaton Paul, Ingo Schmitt, Florian Pyczak   +3 more
wiley   +1 more source

Engineering Ultrasound Contrast Agents for Targeted Therapeutics: A Theranostic Approach to Drug Delivery, Gene Therapy, and Immunomodulation

Advanced NanoBiomed Research, EarlyView.
Ultrasound contrast agents, including microbubbles and nanobubbles, transform imaging and targeted therapy through precise engineering of size, shell composition, and surface properties. This review explores how these innovations enable tissue‐specific delivery, enhance therapeutic efficacy, and extend applications from vascular imaging to tumor ...
Ashkan Seza, Kimia Mozahheb Yousefi, Sara Minaeian   +2 more
wiley   +1 more source

The connection between the magical coloring of trees

AIMS Mathematics
Let $ f $ be a set-ordered edge-magic labeling of a graph $ G $ from $ V(G) $ and $ E(G) $ to $ [0, p-1] $ and $ [1, p-1] $, respectively; it also satisfies the following conditions: $ |f(V(G))| = p $, $ \max f(X) < \min f(Y) $, and $ f(x)+f(y)+f(xy) =
Jing Su , Qiyue Zhang , Bing Yao
doaj   +1 more source

Random Generation Topology Coding Technique in Asymmetric Topology Encryption

Mathematics
The security of traditional public key cryptography algorithms depends on the difficulty of the underlying mathematical problems. Asymmetric topological encryption is a graph-dependent encryption algorithm produced to resist attacks by quantum computers ...
Jing Su, Bing Yao
doaj   +1 more source

On alpha labeling of tensor product of paths and cycles. [PDF]

Heliyon, 2023
L U, G R.
europepmc   +1 more source

A structural approach to the graceful coloring of a subclass of trees. [PDF]

Heliyon, 2023
D L, S DY.
europepmc   +1 more source

Edge even and edge odd graceful labelings of Paley Graphs

, 2021
T. Kamaraj, J Thangakani
openalex   +1 more source