Results 51 to 60 of about 1,000,377 (259)
Graceful labeling of zero-divisor graph Γ(ℤp²q) and Γ(ℤp³q)
Electronic Journal of Graph Theory and ApplicationsSome papers have already provided graceful labeling for some types of zero-divisor graphs. We reviewed the graceful labeling results of Γ( Z 25 ) , Γ( Z 8 ) , and Γ( Z 27 ) , then use those results to label zero-divisors graphs Γ( Z 25 q ) , Γ( Z 8 q ) ,
Christian Constantine, E. Suwastika
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ARITHMETIC SEQUENTIAL GRACEFUL LABELING ON STEP GRID GRAPH
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCHLet G be a simple, finite, connected, undirected, non-trivial graph with vertices and edges. be the vertex set and be the edge set of Let where a and is an injective function.
P. S. P. Sumathi, G. G. Ramani
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Discrete Mathematics, 1980 AbstractIn this paper, we prove that the n-cube is graceful, thus answering a conjecture of J.-C. Bermond and Gangopadhyay and Rao Hebbare. To do that, we introduce a special kind of graceful numbering, particular case of α-valuation, called strongly graceful and we prove that if a graph G is strongly graceful, G + K2 is also strongly graceful.
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Graceful And Graceful Labeling Of Graphs
, 2018 {"references": ["1.\tJ. A. Gallian, A Dynamic survey of graph labeling, The electronic journal of combinatory 16 (2009).DS6. 2.\tI. Gutman, The energy of a graph, Ber. Math-satist. sekt. Forschungsz. Graz 103 (1978), 1-22. 3.\tGutman and B. Zhou, Laplacian energy of a graph, linear algebra appl. 414 (2006), 29-37. 4.\tI.
M. Soundharya, R. Balakumar
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Evaluating the involvement of autolysosomes in the nuclear translocation of fluorescent proteins
FEBS Open Bio, EarlyView.Endogenously expressed fluorescent proteins can be degraded by autophagy and transported to cell nuclei via the nuclear pore complex. But in some cell lines, for example, HeLa cells which are positive for immunoreactivity of a receptor ligand, such as UCN I, in cell nuclei, fusion of autolysosome with the nuclear envelope is involved in the nuclear ...
Keiichi Ikeda
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International Journal of Mathematics and Mathematical Sciences, 2002 We construct a labeled graph D(n) that reflects the structure of divisors of a given natural number n. We define the concept of graceful numbers in terms of this associated graph and find the general form of such a number.
Kiran R. Bhutani, Alexander B. Levin
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Graceful labeling of triangular extension of complete bipartite graph
Electronic Journal of Graph Theory and Applications, 2019 For positive integers m , n , K m , n represents the complete bipartite graph. We name the graph G = K m , n ⊙ K 2 as triangular extension of complete bipartite graph K m , n , since there is a triangle hanging from every vertex of K m , n .
Sarbari Mitra, Soumya Bhoumik
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PASTA‐ELN: Simplifying Research Data Management for Experimental Materials Science
Advanced Engineering Materials, EarlyView.Research data management faces ongoing hurdles as many ELNs remain complex and restrictive. PASTA‐ELN offers an open‐source, cross‐platform solution that prioritizes simplicity, offline access, and user control. Its in tuitive folder structure, modular Python add‐ons, and open formats enable seamless documentation, FAIR data practices, and easy ...
S. Brinckmann, G. Winkens, R. Schwaiger
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Journal of Mathematics, 2023 In this article, we adapt the edge-graceful graph labeling definition into block designs and define a block design V,B with V=v and B=b as block-graceful if there exists a bijection f:B⟶1,2,…,b such that the induced mapping f+:V⟶Zv given by f+x=∑x∈AA ...
Dilara Erdemir, Emre Kolotoğlu
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Multidimensional Cellular Micro‐Compartments to Model Invasive Lobular Carcinoma Dormancy
Advanced Healthcare Materials, EarlyView.Invasive lobular carcinoma (ILC) is an understudied subtype of breast cancer that is susceptible to late recurrences. In this study, micro‐compartmentalization techniques spanning multiple dimensions, including 2D, pseudo‐3D, and 3D, are integrated to uncover the mechanisms underlying ILC dormancy, revealing the central role of p27Kip1.
Xilal Y. Rima +15 more
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