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https://www.researchgate.net/publication/239666416_Use_of_Graph_Theory_to_Support_Map_Generalization
Use of Graph Theory to Support Map Generalization Article (PDF Available) in Cartography and Geographic Information Science 20(4):210-221 · September 1993 with …
https://www.tandfonline.com/doi/abs/10.1559/152304093782637479
Apr 23, 2007 · (1993). Use of Graph Theory to Support Map Generalization. Cartography and Geographic Information Systems: Vol. 20, No. 4, pp. 210-221.Cited by: 139
http://citeseerx.ist.psu.edu/showciting?cid=819411
The new generalization algorithm computes how many roads that can be presented in a map by maximizing the amount of useful information, and it can be described as: (1) select an appropriate similarity function, (2) introduce topological constraints, (3) define the weights of the road hierarchy, (4) start the arc elimination and eliminate the ...
https://en.wikipedia.org/wiki/Graph_theory
Graph theory is also widely used in sociology as a way, for example, to measure actors' prestige or to explore rumor spreading, notably through the use of social network analysis software. Under the umbrella of social networks are many different types of graphs. Acquaintanceship and friendship graphs describe whether people know each other.
https://www.geos.ed.ac.uk/homes/wam/MackBeard1993.pdf
Mackaness, W. A., and Beard, M. K. (1993), Use of Graph Theory to Support Map Generalization. Cartography and Geographic Information Systems , 20 , 210 - 221. graph-theory-mack-beard.doc 2 part of a wider utilization of other theories that will help to formalize all the knowledge required to make intelligent and aesthetic decisions in map design.
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.588.1116
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This paper discusses the utilization of graph theory to aid in the subtle application of specific generalization techniques during map design. The visualization of space encapsulates the notion of context, the representation of the interdependence of salient variables and even that of aesthetics; many of the ...
https://www.tandfonline.com/doi/abs/10.1559/152304095782540221
Apr 23, 2007 · Automation of map generalization requires facilities to monitor the spatial relationships and interactions among multiple map objects. An experimental map generalization system has been developed which addresses this issue by representing spatial objects within a simplicial data structure (SDS) based on constrained Delaunay triangulation of the source data.Cited by: 260
https://en.wikipedia.org/wiki/Chaos_Theory
Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions. Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying ...
https://link.springer.com/content/pdf/10.1023%2FB%3AGEIN.0000017746.44824.70.pdf
This paper proposes a novel generalization model for selecting characteristic streets in an urban street network. This model retains the central structure of a street network. ... “Use of graph theory to support map generalisation,” Cartography and Geographic Information ... “A graph theory approach to road network generalisation,” in ...Cited by: 310
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