Results 41 to 50 of about 2,657,287 (122)

Irreducible Apollonian Configurations and Packings [PDF]

, 2009
An Apollonian configuration of circles is a collection of circles in the plane with disjoint interiors such that the complement of the interiors of the circles consists of curvilinear triangles.
Mallows, Colin, Guettler, Gerhard, Steve Butler, Colin Mallows, Butler, Steve, Ron Graham, Gerhard Guettler, Graham, Ron, Steve SteveButler   +8 more
core   +1 more source

Modified diffusive epidemic process on Apollonian networks. [PDF]

J Biol Phys, 2023
Alencar D, Filho A, Alves T, Alves G, Ferreira R, Lima F.   +5 more
europepmc   +1 more source

Transitive reduction of citation networks [PDF]

, 2014
In many complex networks, the vertices are ordered in time, and edges represent causal connections. We propose methods of analysing such directed acyclic graphs taking into account the constraints of causality and highlighting the causal structure.
Tamar V. Loach, Clough, James R, Tim S. Evans, Gollings, Jamie, Loach, Tamar V, Jamie Gollings, James R. Clough, Evans, Tim S   +7 more
core   +1 more source

Three Apollonian Problems

, 2001
Hunt John. Three Apollonian Problems. In: L'antiquité classique, Tome 70, 2001. pp.
Hunt, John
core   +1 more source

A Consistent Round-Up Strategy Based on PPO Path Optimization for the Leader-Follower Tracking Problem. [PDF]

Sensors (Basel), 2023
Wang X, Yang Z, Bai X, Ji M, Li H, Ran D.   +5 more
europepmc   +1 more source

Apollonian Packing of Circles within Ellipses

, 2023
The purpose of a circle packing procedure is to fill up a predefined, geometrical, closed contour with a maximum finite number of circles. The subject has received considerable attention in pure and applied sciences and has proved to be highly effective ...
Fabio Mangini, Carlo Santini, Fabrizio Frezza   +2 more
core   +1 more source

Development of Frenet-Serret Frame and the Apollonian Window [PDF]

, 2020
The present study focuses on developing a Frenet-Serret frame and the Apollonian Window. In the first part of the study Apollonian disks are generated for first four generations by developing visual basic codes in excel. For the second part of the study,
Karimushan, Syeda Fareeza
core   +1 more source

Opinion Dynamics Systems on Barabási-Albert Networks: Biswas-Chatterjee-Sen Model. [PDF]

Entropy (Basel), 2023
Alencar DSM, Alves TFA, Alves GA, Macedo-Filho A, Ferreira RS, Lima FWS, Plascak JA.   +6 more
europepmc   +1 more source

Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions [PDF]

, 2006
This paper gives $n$-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configurations, which are sets of four mutually touching circles.
Lagarias, Jeffrey C., Yan, Catherine H., Mallows, Colin L., Graham, Ronald L., Wilks, Allan R.   +4 more
core   +1 more source

Spatial Statistics of Apollonian Gaskets

, 2019
© 2017, © 2017 Taylor & Francis Group, LLC. Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles.
Zhang, Xin, Chen, Weiru, Kessler, Calvin, Malik, Amita, Jiao, Mo   +4 more
core   +1 more source