Results 11 to 20 of about 2,657,287 (122)
Binary Apollonian networks [PDF]
, 2022 There is a well-known relationship between the binary Pascal's triangle and Sierpinski triangle in which the latter obtained from the former by successive modulo 2 additions on one of its corners.
Almeida, Guilherme M. A. +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
Phase Transitions in Equilibrium and Non-Equilibrium Models on Some Topologies
Entropy, 2016 On some regular and non-regular topologies, we studied the critical properties of models that present up-down symmetry, like the equilibrium Ising model and the nonequilibrium majority vote model. These are investigated on networks, like Apollonian (AN),
Francisco W. De Sousa Lima
doaj +1 more source
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
On certain properties of random apollonian networks [PDF]
, 2012 . In this work we analyze fundamental properties of Random Apollonian Networks [34,35], a popular random graph model which generates planar graphs with power law properties. Specifically, we analyze (a) the degree distribution, (b) the k largest degrees,
Charalampos E. Tsourakakis, Alan Frieze
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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
Intersections of longest paths in Apollonian networks. [PDF]
The three longest paths problem concerns whether every three longest paths in a connected graph intersect. This problem was first posed by Zamfirescu in 1991 and by Gallai at the 1995 British Combinatorial Conference.
Cowie, Nox
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Apollonian metric, uniformity and Gromov hyperbolicity [PDF]
, 2022 The main purpose of this paper is to investigate the properties of a mapping which is required to be roughly bilipschitz with respect to the Apollonian metric (roughly Apollonian bilipschitz) of its domain.
Zhou QS, Vuorinen M, Li YX
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