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On the signless Laplacian and normalized signless Laplacian spreads of graphs [PDF]
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Milovanovic, Emina +3 more
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On Laplacian Equienergetic Signed Graphs [PDF]
The Laplacian energy of a signed graph is defined as the sum of the distance of its Laplacian eigenvalues from its average degree. Two signed graphs of the same order are said to be Laplacian equienergetic if their Laplacian energies are equal.
Qingyun Tao, Lixin Tao
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Chirality-driven all-optical image differentiation [PDF]
Optical analog computing enables powerful functionalities, including spatial differentiation, image processing, and ultrafast linear operations. Yet, most existing approaches rely on resonant or periodic structures, whose performance is strongly ...
Koufidis Stefanos Fr. +4 more
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Solving Westergaard Half-Space Problems Using Potential Theory [PDF]
The Westergaard half-space problem has been solved using the potential theory in this work. It is a classical theme in elasticity theory that seeks to find the displacements and stresses in the half-space caused by known boundary loads.
Charles Ike
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COMPARISON OF EDGE DETECTION METHODS USING ROBERTS AND LAPLACIAN OPERATORS ON MANGO LEAF OBJECTS
Edge detection is a technique to find the outlines of an object in an image by detecting significant changes in brightness or discontinuities. This study discusses the comparison of edge detection using Roberts operators and Laplacian operators.
Dedi Darwis +4 more
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Eigenfunctions in Finsler Gaussian solitons
Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
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NEWNOVEL METHOD TO ESTIMATE BODY CHARACTERISTICS (DIMENSIONS, DEPTHS AND DENSITY CONTRASTS) OF THREE DIMENSIONAL PRISMATIC BODIES BY APPLYING DIFFERENTIAL OPERATORS (GRADIENT g , LAPLACIAN 2Z AND BIHARMONIC 4Z ) TO THEIR GRAVITY FIELDS [PDF]
:Differential Operators (Gradient, Laplacian and Biharmonic) have been used to determine anomaly characteristics using theoretical gravity field for prismatic bodies with different top depths, dimensions and density contrasts.
Ali M. Al-Rahim
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The Laplacian Spread of a Tree [PDF]
The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the second smallest eigenvalue of the Laplacian matrix of the graph.
Yi-Zheng Fan +3 more
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This paper initiates the study of the "Laplacian simplex" $T_G$ obtained from a finite graph $G$ by taking the convex hull of the columns of the Laplacian matrix for $G$. Basic properties of these simplices are established, and then a systematic investigation of $T_G$ for trees, cycles, and complete graphs is provided. Motivated by a conjecture of Hibi
Benjamin Braun, Marie Meyer
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