Results 31 to 40 of about 9,569,640 (309)
Energetics of the Quantum Graphity Universe [PDF]
, 2014 Quantum graphity is a background independent model for emergent geometry, in which space is represented as a complete graph. The high-energy pre-geometric starting point of the model is usually considered to be the complete graph, however we also ...
Greentree, Andrew D. +1 more
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Advances in Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koolen, Jack H., Moulton, Vincent
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Graph Energies of Egocentric Networks and Their Correlation with Vertex Centrality Measures
Entropy, 2018 Graph energy is the energy of the matrix representation of the graph, where the energy of a matrix is the sum of singular values of the matrix. Depending on the definition of a matrix, one can contemplate graph energy, Randić energy, Laplacian energy ...
Mikołaj Morzy, Tomasz Kajdanowicz
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Energy of a digraph with respect to a VDB topological index
Special Matrices, 2022 Let DD be a digraph with vertex set VV and arc set EE. For a vertex uu, the out-degree and in-degree of uu are denoted by du+{d}_{u}^{+} and du−{d}_{u}^{-}, respectively.
Monsalve Juan, Rada Juan
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The skew energy of random oriented graphs [PDF]
, 2013 Given a graph $G$, let $G^\sigma$ be an oriented graph of $G$ with the orientation $\sigma$ and skew-adjacency matrix $S(G^\sigma)$. The skew energy of the oriented graph $G^\sigma$, denoted by $\mathcal{E}_S(G^\sigma)$, is defined as the sum of the ...
Chen, Xiaolin +2 more
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Energy-Based Learning for Scene Graph Generation [PDF]
Computer Vision and Pattern Recognition, 2021 Traditional scene graph generation methods are trained using cross-entropy losses that treat objects and relationships as independent entities. Such a formulation, however, ignores the structure in the output space, in an inherently structured prediction
Mohammed Suhail +6 more
semanticscholar +1 more source
Research and Application of Hypernetwork Energy
Jisuanji kexue yu tansuo, 2021 Graph energy plays an important role in research of graph theory. Graph energy and many other similar variants have been applied in many other types of graphs, e.g., undirected graphs, oriented graphs, mixed graphs, and so on.
LIU Shengjiu, LI Tianrui, LIU Jia, XIE Peng
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Algebra and Discrete Mathematics, 2020 In this manuscript, we have evaluated the energies of Smith graphs. In the course of the investigation, we found that only one Smith graph is hypo-energetic. Moreover, we have also established the energy bounds for Smith graphs.
Sharma, P., Naresh, R., Sharma, U.
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Numerous graph energies of regular subdivision graph and complete graph
AIMS Mathematics, 2021 The graph energy $ E(G) $ of a simple graph $ G $ is sum of its absolute eigenvalues where eigenvalues of adjacency matrix $ A(G) $ are referred as eigenvalues of graph $ G $. Depends upon eigenvalues of different graph matrices, several graph energies has been observed recently such as maximum degree energy, Randi$ \acute{c} $ energy, sum-connectivity
Imrana Kousar +4 more
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Relating graph energy with vertex-degree-based energies
, 2020 Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants. By means of these matrices, the respective vertex-degree-based graph energies are
I. Gutman
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