Results 71 to 80 of about 6,739 (277)
Annals of Mathematics and PhysicsAbstract The concept of graph labeling was introduced in the mid-1960s by Rosa. In this paper, we introduce a notion of graceful labeling of a finite poset. We obtain graceful labeling of some postes such as a chain, a fence, and a crown. In 2002 Thakare, Pawar, and Waphare introduced the `adjunct' operation of two lattices with respect to an adjunct ...
Ashok Bhavale, Dr. DEEPAK SHELKE*
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Pelabelan Graceful Satu Modulo Pada Beberapa Graf Eule [PDF]
, 2014 . A graph with edges is said to be one modulo graceful graph () if there is a injective function from vertex set of graph to in such a way that induces a function from edge set of graph to defined as is bijective.
Isa, I. (Isa), Ratnasari, L. (Lucia)
core
Ordered graceful labellings of the 2-star
Discrete Mathematics, 2001 The authors investigate ordered graceful labellings of 2-stars. They give a lower bound on the number of non-equivalent ordered graceful labellings by constructing an exponential number of such labellings. This shows that a conjecture of Cahit is false.
Richard J. Nowakowski +1 more
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Multimodal Wearable Biosensing Meets Multidomain AI: A Pathway to Decentralized Healthcare
Advanced Science, EarlyView.Multimodal biosensing meets multidomain AI. Wearable biosensors capture complementary biochemical and physiological signals, while cross‐device, population‐aware learning aligns noisy, heterogeneous streams. This Review distills key sensing modalities, fusion and calibration strategies, and privacy‐preserving deployment pathways that transform ...
Chenshu Liu +10 more
wiley +1 more source
Alpha graphs with different pendent paths
Electronic Journal of Graph Theory and Applications, 2020 Graceful labelings are an effective tool to find cyclic decompositions of complete graphs and complete bipartite graphs. The strongest kind of graceful labeling, the α-labeling, is in the center of the research field of graph labelings, the existence of ...
Christian Barrientos
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Lobsters with an almost perfect matching are graceful [PDF]
, 2014 Let $T$ be a lobster with a matching that covers all but one vertex.
Krop, Elliot
core
Graceful labelling of the union of paths and cycles
Discrete Mathematics, 1999 The authors show that \(C_5\cup P_n\) is graceful and \(C_s\cup P_n\) is graceful for every \(s\geq 5\) when \(n\geq (s+ 5)/2\). This result is another step towards settling the conjecture that \(C_s\cup P_n\) is graceful whenever \(n+ s\geq 7\).
Sheshayya A. Choudum +1 more
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Smart Nanotechnologies for Multimodal Neuromodulation and Brain Interfacing
Advanced Science, EarlyView.Recent advances in smart nanotechnologies are expanding the toolbox for brain interfacing, from wireless neuromodulation and high‐resolution sensing to targeted delivery within the central nervous system. By combining responsive nanomaterials with bioinspired design, these platforms enable multimodal interactions with neurons and glia, while also ...
Tommaso Curiale +6 more
wiley +1 more source
Radio Labelings of Lexicographic Product of Some Graphs
Journal of Mathematics, 2021 Labeling of graphs has defined many variations in the literature, e.g., graceful, harmonious, and radio labeling. Secrecy of data in data sciences and in information technology is very necessary as well as the accuracy of data transmission and different ...
Muhammad Shahbaz Aasi +3 more
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Topological Integer Additive Set-Sequential Graphs
, 2015 Let $\mathbb{N}_0$ denote the set of all non-negative integers and $X$ be any non-empty subset of $\mathbb{N}_0$. Denote the power set of $X$ by $\mathcal{P}(X)$. An integer additive set-labeling (IASL) of a graph $G$ is an injective set-valued function $
Augustine, Germina +2 more
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