Results 21 to 30 of about 210 (139)
Ising models on the regularized Apollonian network [PDF]
Physical Review E, 2013 We investigate the critical properties of Ising models on a Regularized Apollonian Network (RAN), here defined as a kind of Apollonian Network (AN) in which the connectivity asymmetry associated to its corners is removed. Different choices for the coupling constants between nearest neighbors are considered, and two different order parameters are used ...
SERVA, Maurizio +2 more
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Correlated electron systems on the Apollonian network [PDF]
Physical Review B, 2007 Strongly correlated electrons on an Apollonian network are studied using the Hubbard model. Ground-state and thermodynamic properties, including specific heat, magnetic susceptibility, spin-spin correlation function, double occupancy and one-electron transfer, are evaluated applying direct diagonalization and quantum Monte Carlo.
Souza, André Maurício Conceição de +1 more
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Some Properties of Random Apollonian Networks [PDF]
Internet Mathematics, 2014 AbstractIn this work, we analyze fundamental properties of random Apollonian networks [Zhang et al. 06, Zhou et al. 05], a popular random graph model that generates planar graphs with power-law properties. Specifically, we analyze the degree distribution, the k largest degrees, the k largest eigenvalues, and the diameter, where k is a constant.
Alan M. Frieze +1 more
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Convergence science in the Anthropocene: Navigating the known and unknown
People and Nature, Volume 2, Issue 1, Page 96-102, March 2020., 2020 Abstract Rapidly changing ecological and social systems currently pose significant societal challenges. Navigating the complexity of social‐ecological change requires approaches able to cope with, and potentially solve, both foreseen and unforeseen societal challenges.
David G. Angeler +3 more
wiley +1 more source
Experimental Study on Fragmentation Behavior of Specimen with Rockbolts
Advances in Civil Engineering, Volume 2020, Issue 1, 2020., 2020 The effect of rockbolt density on fractured specimens and the distribution law of fragments were studied using the fractal method. The results show that with the increase of rockbolt density, the strength of specimens is improved. Its degree of fragmentation is increased, but the average size of fragments is decreased.
Enyuan Dong +5 more
wiley +1 more source
Correlations in random Apollonian network [PDF]
Physica A: Statistical Mechanics and its Applications, 2007 11 pages, 3 figures.
Zhang, Zhongzhi, Zhou, Shuigeng
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, 2004 We introduce a new family of networks, the Apollonian networks, that are simultaneously scale-free, small world, Euclidean, space-filling and matching graphs. These networks have a wide range of applications ranging from the description of force chains in polydisperse granular packings and geometry of fully fragmented porous media, to hierarchical road
Andrade Jr., Jose S. +3 more
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Number of Spanning Trees in the Sequence of Some Graphs
Complexity, Volume 2019, Issue 1, 2019., 2019 In mathematics, one always tries to get new structures from given ones. This also applies to the realm of graphs, where one can generate many new graphs from a given set of graphs. In this work, using knowledge of difference equations, we drive the explicit formulas for the number of spanning trees in the sequence of some graphs generated by a triangle
Jia-Bao Liu +2 more
wiley +1 more source
Durer‐pentagon‐based complex network
The Journal of Engineering, Volume 2016, Issue 4, Page 88-91, April 2016., 2016 A novel Durer‐pentagon‐based complex network was constructed by adding a centre node. The properties of the complex network including the average degree, clustering coefficient, average path length, and fractal dimension were determined. The proposed complex network is small‐world and fractal.
Rui Hou, Yuejiana Chang, Yuzhou Chang
wiley +1 more source
A New Class of the Planar Networks with High Clustering and High Entropy
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Small‐world networks are ubiquitous in real‐life systems, such as the World Wide Web, communication networks, and electric power grids, and most of them are stochastic. In this paper, we present a model that generates a small‐world network in a simple deterministic way and analyze the relevant topological properties of the model, such as the degree ...
Guona Hu +4 more
wiley +1 more source