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THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING
Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non ...
Ahmad Lasim +2 more
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Ellipsoid or geometric anisotropy is a widely used method in geostatistical analysis to obtain variograms with different ranges in different directions (azimuth) and relatively similar sill variance. Ellipsoid anisotropy is indispensable in mining when a
Intan Muchtadi-Alamsyah +4 more
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Fedlabx: a practical and privacy-preserving framework for federated learning
Federated learning (FL) draws attention in academia and industry due to its privacy-preserving capability in training machine learning models. However, there are still some critical security attacks and vulnerabilities, including gradients leakage and ...
Yuping Yan +7 more
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Odd Harmonious Labeling of Pn ⊵ C4 and Pn ⊵ D2(C4)
A graph G with q edges is said to be odd harmonious if there exists an injection f:V(G) → ℤ2q so that the induced function f*:E(G)→ {1,3,...,2q-1} defined by f*(uv)=f(u)+f(v) is a bijection.Here we show that graphs constructed by edge comb product of ...
Sabrina Shena Sarasvati +2 more
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DIMENSI METRIK DARI GRAF HASIL IDENTIFIKASI
Pada paper ini dibahas mengenai dimensi metrik dari graf hasil identififikasi. Dimensi metrik dari sebuah graf G, dinotasikan dengan dim(G), adalah kardinalitas paling kecil dari setiap himpunan pembeda di G.
Kristiana Wijaya
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Minimal state automata for detecting a β globin gene mutation
Beta-thalassemia is an autosomal recessive blood disorder characterized by abnormalities in the synthesis of β globin. Together with α globin, it is a subunit of globin protein, called hemoglobin, located inside our red blood cells to deliver oxygen from
Ferdania Devi Fitri +4 more
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The locating chromatic number for m-shadow of a connected graph
Let c : V(G)→{1, 2, …, k} be a proper k-coloring of a simple connected graph G. Let Π = {C1, C2, …, Ck} be a partition of V(G), where Ci is the set of vertices of G receiving color i. The color code, cΠ(v), of a vertex v with respect to Π is an ordered k-
I Wayan Sudarsana +2 more
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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The matrix Jacobson graph of finite commutative rings
The notion of the matrix Jacobson graph was introduced in 2019. Let R be a commutative ring and J(R) be the Jacobson radical of ring R. The matrix Jacobson graph of ring R size m × n, denoted 𝔍(R)m × n, is defined as a graph where the vertex set is Rm ...
Siti Humaira +3 more
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Computational Thinking and The Algebra Project
Through our work to examine mathematical and computational learning in authentic and convivial contexts that requires creativity, imagination, reasoning, and discourse, we have theorized an experiential learning cycle that attends to the development of ...
Alan Shaw +4 more
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