Results 31 to 40 of about 557,722 (277)
Applied Sciences, 2020 This paper discusses an approach developed for exploiting the local elementary movements of evolution to study complex networks in terms of shared common embedding and, consequently, shared fractal properties. This approach can be useful for the analysis
M. Babič, J. Mihelic, M. Calì
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Projective dimension, graph domination parameters, and independence complex homology [PDF]
Journal of Combinatorial Theory, 2011 We construct several pairwise-incomparable bounds on the projective dimensions of edge ideals. Our bounds use combinatorial properties of the associated graphs. In particular, we draw heavily from the topic of dominating sets. Through Hochster@?s Formula,
Hailong Dao, Jay Schweig
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On the Edge Metric Dimension of Certain Polyphenyl Chains
Journal of Chemistry, 2021 The most productive application of graph theory in chemistry is the representation of molecules by the graphs, where vertices and edges of graphs are the atoms and valence bonds between a pair of atoms, respectively.
Muhammad Ahsan +5 more
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Graph fractal dimension and the structure of fractal networks
J. Complex Networks, 2020 Fractals are geometric objects that are self-similar at different scales and whose geometric dimensions differ from so-called fractal dimensions. Fractals describe complex continuous structures in nature.
P. Skums, L. Bunimovich
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The spectral dimension of simplicial complexes: a renormalization group theory [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2019 Simplicial complexes are increasingly used to study complex system structures and dynamics including diffusion, synchronization and epidemic spreading. The spectral dimension of the graph Laplacian is known to determine the diffusion properties at long ...
G. Bianconi, S. Dorogovtsev
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GKM theory and Hamiltonian non-Kähler actions in dimension 6 [PDF]
Advances in Mathematics, 2019 Using the classification of $6$-dimensional manifolds by Wall, Jupp and Žubr, we observe that the diffeomorphism type of simply-connected, compact $6$-dimensional integer GKM $T^2$-manifolds is encoded in their GKM graph.
Oliver Goertsches +2 more
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THE GRAPH-REPRESENTATION APPROACH TO TOPOLOGICAL FIELD THEORY IN 2 + 1 DIMENSIONS [PDF]
International Journal of Modern Physics A, 1992 An alternative definition of topological quantum field theory in 2 + 1 dimensions is discussed. The fundamental objects in this approach are not gauge fields as in the usual approach, but nonlocal observables associated with graphs. The classical theory of graphs is defined by postulating a simple diagrammatic rule for computing the Poisson bracket of
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The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension [PDF]
Nuclear Physics B, 2001 23 pages, 17 ...
Hatzinikitas, A., Portugal, R.
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Asymptotic Dimension of Minor-Closed Families and Assouad-Nagata Dimension of Surfaces [PDF]
Journal of the European Mathematical Society (Print), 2020 The asymptotic dimension is an invariant of metric spaces introduced by Gromov in the context of geometric group theory. In this paper, we study the asymptotic dimension of metric spaces generated by graphs and their shortest path metric and show their ...
Marthe Bonamy +6 more
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The partition dimension of a subdivision of a homogeneous firecracker
Electronic Journal of Graph Theory and Applications, 2020 Finding the partition dimension of a graph is one of the interesting (and uncompletely solved) problems of graph theory. For instance, the values of the partition dimensions for most kind of trees are still unknown. Although for several classes of trees
Amrullah Amrullah
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