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The Cartographer
Simple Derivation of the Lifetime and the Distribution of Faces for a Binary Subdivision Model
April 27, 2015 Β· Declared Dead Β· π IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
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Authors
Yukio Hayashi
arXiv ID
1504.06922
Category
physics.soc-ph
Cross-listed
cs.GR,
math-ph
Citations
0
Venue
IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences
Last Checked
4 months ago
Abstract
The iterative random subdivision of rectangles is used as a generation model of networks in physics, computer science, and urban planning. However, these researches were independent. We consider some relations in them, and derive fundamental properties for the average lifetime depending on birth-time and the balanced distribution of rectangle faces.
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