Results 41 to 50 of about 11,443 (267)
AKCE International Journal of Graphs and Combinatorics, 2020 A graph is said to be borderenergetic (-borderenergetic, respectively) if its energy (Laplacian energy, respectively) equals the energy (Laplacian energy, respectively) of the complete graph .
Qingyun Tao, Yaoping Hou
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The Laplacian and signless Laplacian energy of a graph under perturbation [PDF]
AIP Conference Proceedings, 2020 In this paper, we find energy, Laplacian energy and signless Laplacian energy of a complete graph when perturbed by adding some vertices and edges.
E. Nandakumar, R. Venkatesan, A. Yasmin
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On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
Journal of Mathematics, 2016 Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. R. Jog, Raju Kotambari
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On the Laplacian eigenvalues of a graph and Laplacian energy
Linear Algebra and its Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Pirzada, Hilal A. Ganie
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Laplacian and signless laplacian spectra and energies of multi-step wheels
Mathematical Biosciences and Engineering, 2020 <abstract> <p>Energies and spectrum of graphs associated to different linear operators play a significant role in molecular chemistry, polymerisation, pharmacy, computer networking and communication systems. In current article, we compute closed forms of signless Laplacian and Laplacian spectra and energies of multi-step wheel networks < ...
Zheng-Qing Chu +4 more
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Remark on the Laplacian-energy-like and Laplacian incidence energy invariants of graphs [PDF]
Creative Mathematics and Informatics, 2015 Let G be an undirected connected graph with n vertices and m edges, n ≥ 3, and let µ1 ≥ µ2 ≥ · · · ≥ µn−1 > µn = 0 and ρ1 ≥ ρ2 ≥ · · · ≥ ρn−1 > ρn = 0 be Laplacian and normalized Laplacian eigenvalues of G, respectively. The Laplacian-energy-like (LEL) invariant of graph G is defined as... The Laplacian incidence energy of graph is defined as LIE(
I. Z. MILOVANOVIC +3 more
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A Laplacian Energy for Document Binarization [PDF]
2011 International Conference on Document Analysis and Recognition, 2011 This paper describes a new algorithm for document binarization, building upon recent work in energy-based segmentation methods. It uses the Laplacian operator to assess the local likelihood of foreground and background labels, Canny edge detection to identify likely discontinuities, and a graph cut implementation to efficiently find the minimum energy ...
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NORMALIZED LAPLACIAN ENERGY AND NORMALIZED LAPLACIAN-ENERGY-LIKE INVARIANT OF SOME DERIVED GRAPHS
Matematički Vesnik, 2022 Summary: For a connected graph \(G\), the smallest normalized Laplacian eigenvalue is 0 while all others are positive and the largest cannot exceed the value 2. The sum of absolute deviations of the eigenvalues from 1 is called the normalized Laplacian energy, denoted by \(\mathbb{LE}(G)\).
Amin, Ruhul, Abu Nayeem, Sk. Md.
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Maximality of the signless Laplacian energy
Discrete Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lucélia Kowalski Pinheiro +1 more
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International Journal of Robust and Nonlinear Control, EarlyView., 2023 Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen +3 more
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